Why does my code slow down around the 20th iteration?

28 Apr 2022
1 Answer
Answer Accepted
Updated 28 Apr 2022
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Here is my code. It runs fairly fast for n=1:20, but then dramatically slows down and will take roughly 10 minutes to go from n=30 to n=31.
A_set = [];
n=1;
while 1==1 %evaluate the mean and variance of A_set (which accumulates a new value and re-evaluates if the condition in the 'if' statement isn't met)
A = randsrc(1,1,[0,1;0.49,0.51]);
A_set(end+1) = A;
k = Mn_A(A_set,n);
l = Vn_A(A_set,n);
g = 2*sqrt(l/n);
disp(['MeanA = ' num2str(k) ' 2*standard deviation = ' num2str(g) ' with N = ' num2str(n)])
ConfidenceInterval_Min_A = k - 2*sqrt(l/n);
ConfidenceInterval_Max_A = k + 2*sqrt(l/n);
WidthA = ConfidenceInterval_Max_A - ConfidenceInterval_Min_A;
if (n>10) && (((k-2*sqrt(l/n) > 0.5)) || ((k+2*sqrt(l/n) < 0.5)))
disp(['95% confidence interval achieved for A with N = ' num2str(n) ' and width = ' num2str(WidthA)])
break
end
n=n+1;
end
function r = Mn_A(x1,size1) %recursive function for the mean of A
if size1 == 0
r = 0;
elseif size1 == 1
r = x1;
else
r = ((size1-1)*Mn_A(x1(2:size1),size1-1) + x1(1))/size1;
end
end
function q = Vn_A(x1,size1) %recursive function for the variance of A
if size1 == 0
q = 0;
elseif size1 == 1
q = 0;
else
q = Vn_A(x1(2:size1),size1-1) - Vn_A(x1(2:size1),size1-1)/(size1-1) + ((x1(1)-Mn_A(x1(2:size1),size1-1))^2)/size1;
end
end
When I run the script with the profiler running, the function q=Vn_A has almost 8 million calls in 54 seconds and same with the r=Mn_A function. I realize this must be why it is running so slow, but I am not really sure what to do to avoid this, as the Vn_A calls the Mn_A function. Thanks!

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 Accepted Answer

Chunru
Chunru on 28 Apr 2022
Ran in:

0 votes

Ran in:
The recursive function is the culprit of the speed. Simply replace them with mean and var.
A_set = [];
n=1;
while 1==1 %evaluate the mean and variance of A_set (which accumulates a new value and re-evaluates if the condition in the 'if' statement isn't met)
A = randsrc(1,1,[0,1;0.49,0.51]);
A_set(end+1) = A;
k = mean(A_set);
l = var(A_set);
g = 2*sqrt(l/n);
disp(['MeanA = ' num2str(k) ' 2*standard deviation = ' num2str(g) ' with N = ' num2str(n)])
ConfidenceInterval_Min_A = k - 2*sqrt(l/n);
ConfidenceInterval_Max_A = k + 2*sqrt(l/n);
WidthA = ConfidenceInterval_Max_A - ConfidenceInterval_Min_A;
if (n>10) && (((k-2*sqrt(l/n) > 0.5)) || ((k+2*sqrt(l/n) < 0.5)))
disp(['95% confidence interval achieved for A with N = ' num2str(n) ' and width = ' num2str(WidthA)])
break
end
n=n+1;
end
MeanA = 1 2*standard deviation = 0 with N = 1 MeanA = 0.5 2*standard deviation = 1 with N = 2 MeanA = 0.66667 2*standard deviation = 0.66667 with N = 3 MeanA = 0.75 2*standard deviation = 0.5 with N = 4 MeanA = 0.6 2*standard deviation = 0.4899 with N = 5 MeanA = 0.5 2*standard deviation = 0.44721 with N = 6 MeanA = 0.42857 2*standard deviation = 0.40406 with N = 7 MeanA = 0.375 2*standard deviation = 0.36596 with N = 8 MeanA = 0.44444 2*standard deviation = 0.35136 with N = 9 MeanA = 0.5 2*standard deviation = 0.33333 with N = 10 MeanA = 0.45455 2*standard deviation = 0.31492 with N = 11 MeanA = 0.41667 2*standard deviation = 0.29729 with N = 12 MeanA = 0.46154 2*standard deviation = 0.28782 with N = 13 MeanA = 0.5 2*standard deviation = 0.27735 with N = 14 MeanA = 0.53333 2*standard deviation = 0.26667 with N = 15 MeanA = 0.5 2*standard deviation = 0.2582 with N = 16 MeanA = 0.47059 2*standard deviation = 0.24957 with N = 17 MeanA = 0.5 2*standard deviation = 0.24254 with N = 18 MeanA = 0.47368 2*standard deviation = 0.23538 with N = 19 MeanA = 0.45 2*standard deviation = 0.22827 with N = 20 MeanA = 0.47619 2*standard deviation = 0.22335 with N = 21 MeanA = 0.5 2*standard deviation = 0.21822 with N = 22 MeanA = 0.47826 2*standard deviation = 0.213 with N = 23 MeanA = 0.5 2*standard deviation = 0.20851 with N = 24 MeanA = 0.48 2*standard deviation = 0.20396 with N = 25 MeanA = 0.46154 2*standard deviation = 0.19941 with N = 26 MeanA = 0.44444 2*standard deviation = 0.1949 with N = 27 MeanA = 0.46429 2*standard deviation = 0.19196 with N = 28 MeanA = 0.48276 2*standard deviation = 0.18887 with N = 29 MeanA = 0.46667 2*standard deviation = 0.18528 with N = 30 MeanA = 0.48387 2*standard deviation = 0.18248 with N = 31 MeanA = 0.5 2*standard deviation = 0.17961 with N = 32 MeanA = 0.51515 2*standard deviation = 0.1767 with N = 33 MeanA = 0.52941 2*standard deviation = 0.17378 with N = 34 MeanA = 0.54286 2*standard deviation = 0.17087 with N = 35 MeanA = 0.55556 2*standard deviation = 0.16798 with N = 36 MeanA = 0.56757 2*standard deviation = 0.16514 with N = 37 MeanA = 0.55263 2*standard deviation = 0.16349 with N = 38 MeanA = 0.53846 2*standard deviation = 0.16174 with N = 39 MeanA = 0.55 2*standard deviation = 0.15933 with N = 40 MeanA = 0.53659 2*standard deviation = 0.15769 with N = 41 MeanA = 0.52381 2*standard deviation = 0.156 with N = 42 MeanA = 0.53488 2*standard deviation = 0.15393 with N = 43 MeanA = 0.54545 2*standard deviation = 0.15187 with N = 44 MeanA = 0.55556 2*standard deviation = 0.14982 with N = 45 MeanA = 0.54348 2*standard deviation = 0.14851 with N = 46 MeanA = 0.55319 2*standard deviation = 0.14661 with N = 47 MeanA = 0.54167 2*standard deviation = 0.14536 with N = 48 MeanA = 0.55102 2*standard deviation = 0.14358 with N = 49 MeanA = 0.56 2*standard deviation = 0.14182 with N = 50 MeanA = 0.54902 2*standard deviation = 0.14074 with N = 51 MeanA = 0.53846 2*standard deviation = 0.13961 with N = 52 MeanA = 0.54717 2*standard deviation = 0.13806 with N = 53 MeanA = 0.55556 2*standard deviation = 0.13651 with N = 54 MeanA = 0.54545 2*standard deviation = 0.13552 with N = 55 MeanA = 0.55357 2*standard deviation = 0.13406 with N = 56 MeanA = 0.54386 2*standard deviation = 0.13312 with N = 57 MeanA = 0.55172 2*standard deviation = 0.13174 with N = 58 MeanA = 0.54237 2*standard deviation = 0.13083 with N = 59 MeanA = 0.53333 2*standard deviation = 0.1299 with N = 60 MeanA = 0.52459 2*standard deviation = 0.12894 with N = 61 MeanA = 0.51613 2*standard deviation = 0.12797 with N = 62 MeanA = 0.50794 2*standard deviation = 0.12698 with N = 63 MeanA = 0.51562 2*standard deviation = 0.12593 with N = 64 MeanA = 0.52308 2*standard deviation = 0.12487 with N = 65 MeanA = 0.5303 2*standard deviation = 0.12381 with N = 66 MeanA = 0.52239 2*standard deviation = 0.12297 with N = 67 MeanA = 0.51471 2*standard deviation = 0.12212 with N = 68 MeanA = 0.52174 2*standard deviation = 0.12115 with N = 69 MeanA = 0.51429 2*standard deviation = 0.12034 with N = 70 MeanA = 0.50704 2*standard deviation = 0.11951 with N = 71 MeanA = 0.5 2*standard deviation = 0.11868 with N = 72 MeanA = 0.49315 2*standard deviation = 0.11784 with N = 73 MeanA = 0.5 2*standard deviation = 0.11704 with N = 74 MeanA = 0.50667 2*standard deviation = 0.11624 with N = 75 MeanA = 0.51316 2*standard deviation = 0.11543 with N = 76 MeanA = 0.51948 2*standard deviation = 0.11462 with N = 77 MeanA = 0.51282 2*standard deviation = 0.11392 with N = 78 MeanA = 0.50633 2*standard deviation = 0.11322 with N = 79 MeanA = 0.5125 2*standard deviation = 0.11247 with N = 80 MeanA = 0.50617 2*standard deviation = 0.11179 with N = 81 MeanA = 0.5122 2*standard deviation = 0.11108 with N = 82 MeanA = 0.51807 2*standard deviation = 0.11036 with N = 83 MeanA = 0.5119 2*standard deviation = 0.10973 with N = 84 MeanA = 0.51765 2*standard deviation = 0.10904 with N = 85 MeanA = 0.51163 2*standard deviation = 0.10844 with N = 86 MeanA = 0.50575 2*standard deviation = 0.10783 with N = 87 MeanA = 0.51136 2*standard deviation = 0.10718 with N = 88 MeanA = 0.51685 2*standard deviation = 0.10654 with N = 89 MeanA = 0.52222 2*standard deviation = 0.1059 with N = 90 MeanA = 0.52747 2*standard deviation = 0.10525 with N = 91 MeanA = 0.52174 2*standard deviation = 0.10473 with N = 92 MeanA = 0.51613 2*standard deviation = 0.1042 with N = 93 MeanA = 0.51064 2*standard deviation = 0.10367 with N = 94 MeanA = 0.50526 2*standard deviation = 0.10314 with N = 95 MeanA = 0.5 2*standard deviation = 0.1026 with N = 96 MeanA = 0.49485 2*standard deviation = 0.10206 with N = 97 MeanA = 0.4898 2*standard deviation = 0.10151 with N = 98 MeanA = 0.48485 2*standard deviation = 0.10097 with N = 99 MeanA = 0.49 2*standard deviation = 0.10048 with N = 100 MeanA = 0.48515 2*standard deviation = 0.099956 with N = 101 MeanA = 0.48039 2*standard deviation = 0.099427 with N = 102 MeanA = 0.48544 2*standard deviation = 0.098973 with N = 103 MeanA = 0.48077 2*standard deviation = 0.09846 with N = 104 MeanA = 0.47619 2*standard deviation = 0.097947 with N = 105 MeanA = 0.48113 2*standard deviation = 0.09752 with N = 106 MeanA = 0.47664 2*standard deviation = 0.097022 with N = 107 MeanA = 0.47222 2*standard deviation = 0.096524 with N = 108 MeanA = 0.47706 2*standard deviation = 0.096124 with N = 109 MeanA = 0.47273 2*standard deviation = 0.09564 with N = 110 MeanA = 0.46847 2*standard deviation = 0.095156 with N = 111 MeanA = 0.46429 2*standard deviation = 0.094673 with N = 112 MeanA = 0.46018 2*standard deviation = 0.094191 with N = 113 MeanA = 0.45614 2*standard deviation = 0.093709 with N = 114 MeanA = 0.45217 2*standard deviation = 0.093229 with N = 115 MeanA = 0.4569 2*standard deviation = 0.092903 with N = 116 MeanA = 0.45299 2*standard deviation = 0.092436 with N = 117 MeanA = 0.44915 2*standard deviation = 0.091971 with N = 118 MeanA = 0.45378 2*standard deviation = 0.091663 with N = 119 MeanA = 0.45 2*standard deviation = 0.09121 with N = 120 MeanA = 0.44628 2*standard deviation = 0.090759 with N = 121 MeanA = 0.44262 2*standard deviation = 0.090309 with N = 122 MeanA = 0.43902 2*standard deviation = 0.08986 with N = 123 MeanA = 0.44355 2*standard deviation = 0.08959 with N = 124 MeanA = 0.44 2*standard deviation = 0.089154 with N = 125 MeanA = 0.43651 2*standard deviation = 0.088719 with N = 126 MeanA = 0.43307 2*standard deviation = 0.088285 with N = 127 MeanA = 0.42969 2*standard deviation = 0.087854 with N = 128 MeanA = 0.42636 2*standard deviation = 0.087424 with N = 129 MeanA = 0.42308 2*standard deviation = 0.086997 with N = 130 MeanA = 0.41985 2*standard deviation = 0.086572 with N = 131 MeanA = 0.42424 2*standard deviation = 0.086362 with N = 132 MeanA = 0.42857 2*standard deviation = 0.086146 with N = 133 MeanA = 0.43284 2*standard deviation = 0.085925 with N = 134 MeanA = 0.42963 2*standard deviation = 0.085527 with N = 135 MeanA = 0.43382 2*standard deviation = 0.085309 with N = 136 MeanA = 0.43796 2*standard deviation = 0.085087 with N = 137 MeanA = 0.44203 2*standard deviation = 0.08486 with N = 138 MeanA = 0.44604 2*standard deviation = 0.084629 with N = 139 MeanA = 0.45 2*standard deviation = 0.084394 with N = 140 MeanA = 0.4539 2*standard deviation = 0.084155 with N = 141 MeanA = 0.45775 2*standard deviation = 0.083914 with N = 142 MeanA = 0.45455 2*standard deviation = 0.083571 with N = 143 MeanA = 0.45833 2*standard deviation = 0.083333 with N = 144 MeanA = 0.46207 2*standard deviation = 0.083093 with N = 145 MeanA = 0.4589 2*standard deviation = 0.082764 with N = 146 MeanA = 0.46259 2*standard deviation = 0.082529 with N = 147 MeanA = 0.46622 2*standard deviation = 0.08229 with N = 148 MeanA = 0.46309 2*standard deviation = 0.081975 with N = 149 MeanA = 0.46667 2*standard deviation = 0.081741 with N = 150 MeanA = 0.46358 2*standard deviation = 0.081433 with N = 151 MeanA = 0.46053 2*standard deviation = 0.081125 with N = 152 MeanA = 0.46405 2*standard deviation = 0.080901 with N = 153 MeanA = 0.46753 2*standard deviation = 0.080675 with N = 154 MeanA = 0.46452 2*standard deviation = 0.080379 with N = 155 MeanA = 0.46154 2*standard deviation = 0.080084 with N = 156 MeanA = 0.4586 2*standard deviation = 0.079789 with N = 157 MeanA = 0.4557 2*standard deviation = 0.079495 with N = 158 MeanA = 0.45912 2*standard deviation = 0.079289 with N = 159 MeanA = 0.45625 2*standard deviation = 0.079001 with N = 160 MeanA = 0.45963 2*standard deviation = 0.078799 with N = 161 MeanA = 0.46296 2*standard deviation = 0.078595 with N = 162 MeanA = 0.46626 2*standard deviation = 0.078388 with N = 163 MeanA = 0.46341 2*standard deviation = 0.078116 with N = 164 MeanA = 0.46061 2*standard deviation = 0.077844 with N = 165 MeanA = 0.45783 2*standard deviation = 0.077573 with N = 166 MeanA = 0.46108 2*standard deviation = 0.07738 with N = 167 MeanA = 0.46429 2*standard deviation = 0.077185 with N = 168 MeanA = 0.46746 2*standard deviation = 0.076988 with N = 169 MeanA = 0.46471 2*standard deviation = 0.076731 with N = 170 MeanA = 0.46199 2*standard deviation = 0.076475 with N = 171 MeanA = 0.46512 2*standard deviation = 0.076286 with N = 172 MeanA = 0.46821 2*standard deviation = 0.076095 with N = 173 MeanA = 0.46552 2*standard deviation = 0.075848 with N = 174 MeanA = 0.46286 2*standard deviation = 0.0756 with N = 175 MeanA = 0.46023 2*standard deviation = 0.075353 with N = 176 MeanA = 0.45763 2*standard deviation = 0.075107 with N = 177 MeanA = 0.46067 2*standard deviation = 0.074932 with N = 178 MeanA = 0.46369 2*standard deviation = 0.074755 with N = 179 MeanA = 0.46667 2*standard deviation = 0.074577 with N = 180 MeanA = 0.46961 2*standard deviation = 0.074398 with N = 181 MeanA = 0.47253 2*standard deviation = 0.074217 with N = 182 MeanA = 0.47541 2*standard deviation = 0.074035 with N = 183 MeanA = 0.47283 2*standard deviation = 0.073813 with N = 184 MeanA = 0.47568 2*standard deviation = 0.073634 with N = 185 MeanA = 0.47849 2*standard deviation = 0.073453 with N = 186 MeanA = 0.47594 2*standard deviation = 0.073239 with N = 187 MeanA = 0.47872 2*standard deviation = 0.073061 with N = 188 MeanA = 0.47619 2*standard deviation = 0.07285 with N = 189 MeanA = 0.47895 2*standard deviation = 0.072675 with N = 190 MeanA = 0.48168 2*standard deviation = 0.072499 with N = 191 MeanA = 0.47917 2*standard deviation = 0.072295 with N = 192 MeanA = 0.47668 2*standard deviation = 0.07209 with N = 193 MeanA = 0.47423 2*standard deviation = 0.071886 with N = 194 MeanA = 0.47179 2*standard deviation = 0.071681 with N = 195 MeanA = 0.46939 2*standard deviation = 0.071477 with N = 196 MeanA = 0.46701 2*standard deviation = 0.071273 with N = 197 MeanA = 0.4697 2*standard deviation = 0.071116 with N = 198 MeanA = 0.47236 2*standard deviation = 0.070958 with N = 199 MeanA = 0.47 2*standard deviation = 0.07076 with N = 200 MeanA = 0.46766 2*standard deviation = 0.070563 with N = 201 MeanA = 0.4703 2*standard deviation = 0.07041 with N = 202 MeanA = 0.46798 2*standard deviation = 0.070215 with N = 203 MeanA = 0.46569 2*standard deviation = 0.070021 with N = 204 MeanA = 0.46341 2*standard deviation = 0.069826 with N = 205 MeanA = 0.46117 2*standard deviation = 0.069632 with N = 206 MeanA = 0.46377 2*standard deviation = 0.06949 with N = 207 MeanA = 0.46635 2*standard deviation = 0.069347 with N = 208 MeanA = 0.4689 2*standard deviation = 0.069203 with N = 209 MeanA = 0.47143 2*standard deviation = 0.069058 with N = 210 MeanA = 0.47393 2*standard deviation = 0.068913 with N = 211 MeanA = 0.4717 2*standard deviation = 0.068732 with N = 212 MeanA = 0.46948 2*standard deviation = 0.068552 with N = 213 MeanA = 0.47196 2*standard deviation = 0.068411 with N = 214 MeanA = 0.46977 2*standard deviation = 0.068234 with N = 215 MeanA = 0.47222 2*standard deviation = 0.068094 with N = 216 MeanA = 0.47465 2*standard deviation = 0.067954 with N = 217 MeanA = 0.47706 2*standard deviation = 0.067813 with N = 218 MeanA = 0.47945 2*standard deviation = 0.067671 with N = 219 MeanA = 0.48182 2*standard deviation = 0.067529 with N = 220 MeanA = 0.48416 2*standard deviation = 0.067386 with N = 221 MeanA = 0.48649 2*standard deviation = 0.067243 with N = 222 MeanA = 0.48879 2*standard deviation = 0.067099 with N = 223 MeanA = 0.49107 2*standard deviation = 0.066954 with N = 224 MeanA = 0.49333 2*standard deviation = 0.066809 with N = 225 MeanA = 0.49115 2*standard deviation = 0.066656 with N = 226 MeanA = 0.48899 2*standard deviation = 0.066503 with N = 227 MeanA = 0.49123 2*standard deviation = 0.066362 with N = 228 MeanA = 0.48908 2*standard deviation = 0.066211 with N = 229 MeanA = 0.48696 2*standard deviation = 0.066059 with N = 230 MeanA = 0.48485 2*standard deviation = 0.065908 with N = 231 MeanA = 0.48707 2*standard deviation = 0.065773 with N = 232 MeanA = 0.48498 2*standard deviation = 0.065624 with N = 233 MeanA = 0.48291 2*standard deviation = 0.065474 with N = 234 MeanA = 0.48085 2*standard deviation = 0.065324 with N = 235 MeanA = 0.48305 2*standard deviation = 0.065195 with N = 236 MeanA = 0.48101 2*standard deviation = 0.065048 with N = 237 MeanA = 0.48319 2*standard deviation = 0.06492 with N = 238 MeanA = 0.48536 2*standard deviation = 0.064793 with N = 239 MeanA = 0.48333 2*standard deviation = 0.064649 with N = 240 MeanA = 0.48133 2*standard deviation = 0.064505 with N = 241 MeanA = 0.48347 2*standard deviation = 0.06438 with N = 242 MeanA = 0.4856 2*standard deviation = 0.064256 with N = 243 MeanA = 0.4877 2*standard deviation = 0.064131 with N = 244 MeanA = 0.48571 2*standard deviation = 0.063992 with N = 245 MeanA = 0.48374 2*standard deviation = 0.063854 with N = 246 MeanA = 0.48178 2*standard deviation = 0.063715 with N = 247 MeanA = 0.48387 2*standard deviation = 0.063595 with N = 248 MeanA = 0.48594 2*standard deviation = 0.063475 with N = 249 MeanA = 0.484 2*standard deviation = 0.06334 with N = 250 MeanA = 0.48606 2*standard deviation = 0.063221 with N = 251 MeanA = 0.48413 2*standard deviation = 0.063088 with N = 252 MeanA = 0.48221 2*standard deviation = 0.062954 with N = 253 MeanA = 0.48031 2*standard deviation = 0.062821 with N = 254 MeanA = 0.47843 2*standard deviation = 0.062687 with N = 255 MeanA = 0.48047 2*standard deviation = 0.062575 with N = 256 MeanA = 0.4786 2*standard deviation = 0.062443 with N = 257 MeanA = 0.48062 2*standard deviation = 0.062331 with N = 258 MeanA = 0.47876 2*standard deviation = 0.062201 with N = 259 MeanA = 0.47692 2*standard deviation = 0.062071 with N = 260 MeanA = 0.4751 2*standard deviation = 0.06194 with N = 261 MeanA = 0.47328 2*standard deviation = 0.06181 with N = 262 MeanA = 0.47529 2*standard deviation = 0.061705 with N = 263 MeanA = 0.47348 2*standard deviation = 0.061576 with N = 264 MeanA = 0.47547 2*standard deviation = 0.061472 with N = 265 MeanA = 0.47368 2*standard deviation = 0.061344 with N = 266 MeanA = 0.47191 2*standard deviation = 0.061217 with N = 267 MeanA = 0.47015 2*standard deviation = 0.06109 with N = 268 MeanA = 0.47212 2*standard deviation = 0.06099 with N = 269 MeanA = 0.47037 2*standard deviation = 0.060864 with N = 270 MeanA = 0.46863 2*standard deviation = 0.060738 with N = 271 MeanA = 0.46691 2*standard deviation = 0.060613 with N = 272 MeanA = 0.46886 2*standard deviation = 0.060516 with N = 273 MeanA = 0.4708 2*standard deviation = 0.060419 with N = 274 MeanA = 0.46909 2*standard deviation = 0.060297 with N = 275 MeanA = 0.47101 2*standard deviation = 0.060201 with N = 276 MeanA = 0.47292 2*standard deviation = 0.060105 with N = 277 MeanA = 0.47482 2*standard deviation = 0.060008 with N = 278 MeanA = 0.4767 2*standard deviation = 0.059911 with N = 279 MeanA = 0.47857 2*standard deviation = 0.059813 with N = 280 MeanA = 0.47687 2*standard deviation = 0.059697 with N = 281 MeanA = 0.47872 2*standard deviation = 0.059601 with N = 282 MeanA = 0.48057 2*standard deviation = 0.059504 with N = 283 MeanA = 0.47887 2*standard deviation = 0.059391 with N = 284 MeanA = 0.4807 2*standard deviation = 0.059295 with N = 285 MeanA = 0.48252 2*standard deviation = 0.059199 with N = 286 MeanA = 0.48432 2*standard deviation = 0.059102 with N = 287 MeanA = 0.48264 2*standard deviation = 0.058993 with N = 288 MeanA = 0.48097 2*standard deviation = 0.058883 with N = 289 MeanA = 0.48276 2*standard deviation = 0.058789 with N = 290 MeanA = 0.48454 2*standard deviation = 0.058694 with N = 291 MeanA = 0.4863 2*standard deviation = 0.058599 with N = 292 MeanA = 0.48464 2*standard deviation = 0.058493 with N = 293 MeanA = 0.48299 2*standard deviation = 0.058387 with N = 294 MeanA = 0.48136 2*standard deviation = 0.058281 with N = 295 MeanA = 0.48311 2*standard deviation = 0.058189 with N = 296 MeanA = 0.48148 2*standard deviation = 0.058084 with N = 297 MeanA = 0.48322 2*standard deviation = 0.057993 with N = 298 MeanA = 0.48161 2*standard deviation = 0.057889 with N = 299 MeanA = 0.48333 2*standard deviation = 0.057799 with N = 300 MeanA = 0.48173 2*standard deviation = 0.057696 with N = 301 MeanA = 0.48344 2*standard deviation = 0.057607 with N = 302 MeanA = 0.48515 2*standard deviation = 0.057518 with N = 303 MeanA = 0.48355 2*standard deviation = 0.057417 with N = 304 MeanA = 0.48197 2*standard deviation = 0.057317 with N = 305 MeanA = 0.48039 2*standard deviation = 0.057216 with N = 306 MeanA = 0.47883 2*standard deviation = 0.057115 with N = 307 MeanA = 0.48052 2*standard deviation = 0.05703 with N = 308 MeanA = 0.4822 2*standard deviation = 0.056944 with N = 309 MeanA = 0.48065 2*standard deviation = 0.056845 with N = 310 MeanA = 0.48232 2*standard deviation = 0.056761 with N = 311 MeanA = 0.48397 2*standard deviation = 0.056676 with N = 312 MeanA = 0.48243 2*standard deviation = 0.056579 with N = 313 MeanA = 0.48408 2*standard deviation = 0.056495 with N = 314 MeanA = 0.48254 2*standard deviation = 0.056399 with N = 315 MeanA = 0.48418 2*standard deviation = 0.056315 with N = 316 MeanA = 0.4858 2*standard deviation = 0.056232 with N = 317 MeanA = 0.48742 2*standard deviation = 0.056148 with N = 318 MeanA = 0.48903 2*standard deviation = 0.056064 with N = 319 MeanA = 0.49062 2*standard deviation = 0.055979 with N = 320 MeanA = 0.49221 2*standard deviation = 0.055895 with N = 321 MeanA = 0.49068 2*standard deviation = 0.055805 with N = 322 MeanA = 0.48916 2*standard deviation = 0.055715 with N = 323 MeanA = 0.49074 2*standard deviation = 0.055632 with N = 324 MeanA = 0.49231 2*standard deviation = 0.055549 with N = 325 MeanA = 0.49387 2*standard deviation = 0.055466 with N = 326 MeanA = 0.49541 2*standard deviation = 0.055383 with N = 327 MeanA = 0.49695 2*standard deviation = 0.055299 with N = 328 MeanA = 0.49848 2*standard deviation = 0.055216 with N = 329 MeanA = 0.5 2*standard deviation = 0.055132 with N = 330 MeanA = 0.49849 2*standard deviation = 0.055048 with N = 331 MeanA = 0.5 2*standard deviation = 0.054965 with N = 332 MeanA = 0.5015 2*standard deviation = 0.054882 with N = 333 MeanA = 0.50299 2*standard deviation = 0.054799 with N = 334 MeanA = 0.50149 2*standard deviation = 0.054717 with N = 335 MeanA = 0.50298 2*standard deviation = 0.054635 with N = 336 MeanA = 0.50445 2*standard deviation = 0.054552 with N = 337 MeanA = 0.50592 2*standard deviation = 0.05447 with N = 338 MeanA = 0.50442 2*standard deviation = 0.054391 with N = 339 MeanA = 0.50294 2*standard deviation = 0.054312 with N = 340 MeanA = 0.5044 2*standard deviation = 0.054231 with N = 341 MeanA = 0.50585 2*standard deviation = 0.054149 with N = 342 MeanA = 0.50729 2*standard deviation = 0.054068 with N = 343 MeanA = 0.50581 2*standard deviation = 0.053991 with N = 344 MeanA = 0.50725 2*standard deviation = 0.053911 with N = 345 MeanA = 0.50867 2*standard deviation = 0.05383 with N = 346 MeanA = 0.51009 2*standard deviation = 0.053749 with N = 347 MeanA = 0.51149 2*standard deviation = 0.053669 with N = 348 MeanA = 0.51289 2*standard deviation = 0.053588 with N = 349 MeanA = 0.51143 2*standard deviation = 0.053515 with N = 350 MeanA = 0.50997 2*standard deviation = 0.053442 with N = 351 MeanA = 0.51136 2*standard deviation = 0.053362 with N = 352 MeanA = 0.50992 2*standard deviation = 0.05329 with N = 353 MeanA = 0.50847 2*standard deviation = 0.053217 with N = 354 MeanA = 0.50704 2*standard deviation = 0.053144 with N = 355 MeanA = 0.50843 2*standard deviation = 0.053067 with N = 356 MeanA = 0.5098 2*standard deviation = 0.05299 with N = 357 MeanA = 0.50838 2*standard deviation = 0.052918 with N = 358 MeanA = 0.50975 2*standard deviation = 0.052842 with N = 359 MeanA = 0.50833 2*standard deviation = 0.052771 with N = 360 MeanA = 0.50693 2*standard deviation = 0.0527 with N = 361 MeanA = 0.50829 2*standard deviation = 0.052624 with N = 362 MeanA = 0.50689 2*standard deviation = 0.052554 with N = 363 MeanA = 0.50824 2*standard deviation = 0.052479 with N = 364 MeanA = 0.50685 2*standard deviation = 0.052409 with N = 365 MeanA = 0.5082 2*standard deviation = 0.052335 with N = 366 MeanA = 0.50954 2*standard deviation = 0.052261 with N = 367 MeanA = 0.50815 2*standard deviation = 0.052193 with N = 368 MeanA = 0.50949 2*standard deviation = 0.052119 with N = 369 MeanA = 0.50811 2*standard deviation = 0.052051 with N = 370 MeanA = 0.50943 2*standard deviation = 0.051978 with N = 371 MeanA = 0.51075 2*standard deviation = 0.051905 with N = 372 MeanA = 0.51206 2*standard deviation = 0.051832 with N = 373 MeanA = 0.5107 2*standard deviation = 0.051766 with N = 374 MeanA = 0.50933 2*standard deviation = 0.0517 with N = 375 MeanA = 0.50798 2*standard deviation = 0.051633 with N = 376 MeanA = 0.50928 2*standard deviation = 0.051562 with N = 377 MeanA = 0.51058 2*standard deviation = 0.051491 with N = 378 MeanA = 0.51187 2*standard deviation = 0.05142 with N = 379 MeanA = 0.51316 2*standard deviation = 0.051349 with N = 380 MeanA = 0.51181 2*standard deviation = 0.051285 with N = 381 MeanA = 0.51047 2*standard deviation = 0.05122 with N = 382 MeanA = 0.51175 2*standard deviation = 0.05115 with N = 383 MeanA = 0.51302 2*standard deviation = 0.05108 with N = 384 MeanA = 0.51429 2*standard deviation = 0.05101 with N = 385 MeanA = 0.51295 2*standard deviation = 0.050948 with N = 386 MeanA = 0.51163 2*standard deviation = 0.050885 with N = 387 MeanA = 0.51289 2*standard deviation = 0.050816 with N = 388 MeanA = 0.51157 2*standard deviation = 0.050754 with N = 389 MeanA = 0.51026 2*standard deviation = 0.050691 with N = 390 MeanA = 0.51151 2*standard deviation = 0.050624 with N = 391 MeanA = 0.5102 2*standard deviation = 0.050562 with N = 392 MeanA = 0.51145 2*standard deviation = 0.050494 with N = 393 MeanA = 0.51269 2*standard deviation = 0.050427 with N = 394 MeanA = 0.51392 2*standard deviation = 0.05036 with N = 395 MeanA = 0.51263 2*standard deviation = 0.050299 with N = 396 MeanA = 0.51134 2*standard deviation = 0.050239 with N = 397 MeanA = 0.51256 2*standard deviation = 0.050173 with N = 398 MeanA = 0.51128 2*standard deviation = 0.050113 with N = 399 MeanA = 0.5125 2*standard deviation = 0.050047 with N = 400 MeanA = 0.51122 2*standard deviation = 0.049987 with N = 401 MeanA = 0.50995 2*standard deviation = 0.049928 with N = 402 MeanA = 0.51117 2*standard deviation = 0.049863 with N = 403 MeanA = 0.51238 2*standard deviation = 0.049798 with N = 404 MeanA = 0.51358 2*standard deviation = 0.049734 with N = 405 MeanA = 0.51478 2*standard deviation = 0.049669 with N = 406 MeanA = 0.51597 2*standard deviation = 0.049604 with N = 407 MeanA = 0.51716 2*standard deviation = 0.049539 with N = 408 MeanA = 0.51589 2*standard deviation = 0.049482 with N = 409 MeanA = 0.51463 2*standard deviation = 0.049426 with N = 410 MeanA = 0.51582 2*standard deviation = 0.049362 with N = 411 MeanA = 0.51699 2*standard deviation = 0.049298 with N = 412 MeanA = 0.51574 2*standard deviation = 0.049242 with N = 413 MeanA = 0.51691 2*standard deviation = 0.049179 with N = 414 MeanA = 0.51566 2*standard deviation = 0.049123 with N = 415 MeanA = 0.51683 2*standard deviation = 0.04906 with N = 416 MeanA = 0.51559 2*standard deviation = 0.049005 with N = 417 MeanA = 0.51435 2*standard deviation = 0.04895 with N = 418 MeanA = 0.51313 2*standard deviation = 0.048895 with N = 419 MeanA = 0.5119 2*standard deviation = 0.048839 with N = 420 MeanA = 0.51306 2*standard deviation = 0.048778 with N = 421 MeanA = 0.51185 2*standard deviation = 0.048723 with N = 422 MeanA = 0.51064 2*standard deviation = 0.048668 with N = 423 MeanA = 0.50943 2*standard deviation = 0.048613 with N = 424 MeanA = 0.51059 2*standard deviation = 0.048553 with N = 425 MeanA = 0.51174 2*standard deviation = 0.048494 with N = 426 MeanA = 0.51288 2*standard deviation = 0.048434 with N = 427 MeanA = 0.51168 2*standard deviation = 0.04838 with N = 428 MeanA = 0.51049 2*standard deviation = 0.048326 with N = 429 MeanA = 0.5093 2*standard deviation = 0.048272 with N = 430 MeanA = 0.50812 2*standard deviation = 0.048218 with N = 431 MeanA = 0.50926 2*standard deviation = 0.04816 with N = 432 MeanA = 0.50808 2*standard deviation = 0.048106 with N = 433 MeanA = 0.50691 2*standard deviation = 0.048052 with N = 434 MeanA = 0.50575 2*standard deviation = 0.047998 with N = 435 MeanA = 0.50688 2*standard deviation = 0.047942 with N = 436 MeanA = 0.50801 2*standard deviation = 0.047885 with N = 437 MeanA = 0.50685 2*standard deviation = 0.047832 with N = 438 MeanA = 0.50569 2*standard deviation = 0.047779 with N = 439 MeanA = 0.50682 2*standard deviation = 0.047723 with N = 440 MeanA = 0.50794 2*standard deviation = 0.047667 with N = 441 MeanA = 0.50679 2*standard deviation = 0.047615 with N = 442 MeanA = 0.5079 2*standard deviation = 0.047559 with N = 443 MeanA = 0.50901 2*standard deviation = 0.047504 with N = 444 MeanA = 0.51011 2*standard deviation = 0.047448 with N = 445 MeanA = 0.50897 2*standard deviation = 0.047397 with N = 446 MeanA = 0.50783 2*standard deviation = 0.047346 with N = 447 MeanA = 0.5067 2*standard deviation = 0.047294 with N = 448 MeanA = 0.5078 2*standard deviation = 0.04724 with N = 449 MeanA = 0.50889 2*standard deviation = 0.047185 with N = 450 MeanA = 0.50776 2*standard deviation = 0.047135 with N = 451 MeanA = 0.50664 2*standard deviation = 0.047084 with N = 452 MeanA = 0.50552 2*standard deviation = 0.047033 with N = 453 MeanA = 0.50661 2*standard deviation = 0.04698 with N = 454 MeanA = 0.50769 2*standard deviation = 0.046927 with N = 455 MeanA = 0.50658 2*standard deviation = 0.046877 with N = 456 MeanA = 0.50547 2*standard deviation = 0.046826 with N = 457 MeanA = 0.50437 2*standard deviation = 0.046776 with N = 458 MeanA = 0.50327 2*standard deviation = 0.046726 with N = 459 MeanA = 0.50435 2*standard deviation = 0.046674 with N = 460 MeanA = 0.50542 2*standard deviation = 0.046622 with N = 461 MeanA = 0.50433 2*standard deviation = 0.046573 with N = 462 MeanA = 0.50324 2*standard deviation = 0.046523 with N = 463 MeanA = 0.50216 2*standard deviation = 0.046474 with N = 464 MeanA = 0.50323 2*standard deviation = 0.046423 with N = 465 MeanA = 0.50215 2*standard deviation = 0.046373 with N = 466 MeanA = 0.50107 2*standard deviation = 0.046324 with N = 467 MeanA = 0.50214 2*standard deviation = 0.046274 with N = 468 MeanA = 0.5032 2*standard deviation = 0.046224 with N = 469 MeanA = 0.50426 2*standard deviation = 0.046174 with N = 470 MeanA = 0.50531 2*standard deviation = 0.046124 with N = 471 MeanA = 0.50636 2*standard deviation = 0.046074 with N = 472 MeanA = 0.50529 2*standard deviation = 0.046026 with N = 473 MeanA = 0.50422 2*standard deviation = 0.045978 with N = 474 MeanA = 0.50526 2*standard deviation = 0.045929 with N = 475 MeanA = 0.5042 2*standard deviation = 0.045882 with N = 476 MeanA = 0.50314 2*standard deviation = 0.045834 with N = 477 MeanA = 0.50209 2*standard deviation = 0.045786 with N = 478 MeanA = 0.50104 2*standard deviation = 0.045739 with N = 479 MeanA = 0.5 2*standard deviation = 0.045691 with N = 480 MeanA = 0.50104 2*standard deviation = 0.045643 with N = 481 MeanA = 0.50207 2*standard deviation = 0.045596 with N = 482 MeanA = 0.50104 2*standard deviation = 0.045549 with N = 483 MeanA = 0.50207 2*standard deviation = 0.045501 with N = 484 MeanA = 0.50103 2*standard deviation = 0.045454 with N = 485 MeanA = 0.50206 2*standard deviation = 0.045407 with N = 486 MeanA = 0.50308 2*standard deviation = 0.04536 with N = 487 MeanA = 0.5041 2*standard deviation = 0.045313 with N = 488 MeanA = 0.50511 2*standard deviation = 0.045266 with N = 489 MeanA = 0.50408 2*standard deviation = 0.04522 with N = 490 MeanA = 0.50305 2*standard deviation = 0.045175 with N = 491 MeanA = 0.50407 2*standard deviation = 0.045128 with N = 492 MeanA = 0.50507 2*standard deviation = 0.045081 with N = 493 MeanA = 0.50405 2*standard deviation = 0.045036 with N = 494 MeanA = 0.50505 2*standard deviation = 0.04499 with N = 495 MeanA = 0.50605 2*standard deviation = 0.044943 with N = 496 MeanA = 0.50704 2*standard deviation = 0.044897 with N = 497 MeanA = 0.50602 2*standard deviation = 0.044853 with N = 498 MeanA = 0.50701 2*standard deviation = 0.044807 with N = 499 MeanA = 0.508 2*standard deviation = 0.04476 with N = 500 MeanA = 0.50699 2*standard deviation = 0.044717 with N = 501 MeanA = 0.50797 2*standard deviation = 0.044671 with N = 502 MeanA = 0.50696 2*standard deviation = 0.044628 with N = 503 MeanA = 0.50595 2*standard deviation = 0.044585 with N = 504 MeanA = 0.50693 2*standard deviation = 0.044539 with N = 505 MeanA = 0.50791 2*standard deviation = 0.044494 with N = 506 MeanA = 0.5069 2*standard deviation = 0.044451 with N = 507 MeanA = 0.50787 2*standard deviation = 0.044406 with N = 508 MeanA = 0.50688 2*standard deviation = 0.044364 with N = 509 MeanA = 0.50784 2*standard deviation = 0.044319 with N = 510 MeanA = 0.50685 2*standard deviation = 0.044277 with N = 511 MeanA = 0.50781 2*standard deviation = 0.044232 with N = 512 MeanA = 0.50682 2*standard deviation = 0.04419 with N = 513 MeanA = 0.50778 2*standard deviation = 0.044146 with N = 514 MeanA = 0.5068 2*standard deviation = 0.044104 with N = 515 MeanA = 0.50581 2*standard deviation = 0.044062 with N = 516 MeanA = 0.50677 2*standard deviation = 0.044019 with N = 517 MeanA = 0.50772 2*standard deviation = 0.043975 with N = 518 MeanA = 0.50867 2*standard deviation = 0.043931 with N = 519 MeanA = 0.50769 2*standard deviation = 0.04389 with N = 520 MeanA = 0.50864 2*standard deviation = 0.043846 with N = 521 MeanA = 0.50958 2*standard deviation = 0.043803 with N = 522 MeanA = 0.51052 2*standard deviation = 0.043759 with N = 523 MeanA = 0.50954 2*standard deviation = 0.043719 with N = 524 MeanA = 0.51048 2*standard deviation = 0.043676 with N = 525 MeanA = 0.51141 2*standard deviation = 0.043632 with N = 526 MeanA = 0.51044 2*standard deviation = 0.043593 with N = 527 MeanA = 0.51136 2*standard deviation = 0.043549 with N = 528 MeanA = 0.51229 2*standard deviation = 0.043506 with N = 529 MeanA = 0.51321 2*standard deviation = 0.043463 with N = 530 MeanA = 0.51224 2*standard deviation = 0.043424 with N = 531 MeanA = 0.51316 2*standard deviation = 0.043381 with N = 532 MeanA = 0.5122 2*standard deviation = 0.043343 with N = 533 MeanA = 0.51124 2*standard deviation = 0.043304 with N = 534 MeanA = 0.51028 2*standard deviation = 0.043265 with N = 535 MeanA = 0.51119 2*standard deviation = 0.043223 with N = 536 MeanA = 0.5121 2*standard deviation = 0.043181 with N = 537 MeanA = 0.51115 2*standard deviation = 0.043142 with N = 538 MeanA = 0.5102 2*standard deviation = 0.043104 with N = 539 MeanA = 0.50926 2*standard deviation = 0.043066 with N = 540 MeanA = 0.51017 2*standard deviation = 0.043024 with N = 541 MeanA = 0.50923 2*standard deviation = 0.042986 with N = 542 MeanA = 0.51013 2*standard deviation = 0.042945 with N = 543 MeanA = 0.50919 2*standard deviation = 0.042907 with N = 544 MeanA = 0.50826 2*standard deviation = 0.042869 with N = 545 MeanA = 0.50733 2*standard deviation = 0.042831 with N = 546 MeanA = 0.50823 2*standard deviation = 0.04279 with N = 547 MeanA = 0.50912 2*standard deviation = 0.04275 with N = 548 MeanA = 0.5082 2*standard deviation = 0.042712 with N = 549 MeanA = 0.50909 2*standard deviation = 0.042672 with N = 550 MeanA = 0.50998 2*standard deviation = 0.042632 with N = 551 MeanA = 0.51087 2*standard deviation = 0.042591 with N = 552 MeanA = 0.50995 2*standard deviation = 0.042554 with N = 553 MeanA = 0.50903 2*standard deviation = 0.042517 with N = 554 MeanA = 0.50991 2*standard deviation = 0.042478 with N = 555 MeanA = 0.51079 2*standard deviation = 0.042438 with N = 556 MeanA = 0.50987 2*standard deviation = 0.042401 with N = 557 MeanA = 0.50896 2*standard deviation = 0.042365 with N = 558 MeanA = 0.50984 2*standard deviation = 0.042325 with N = 559 MeanA = 0.50893 2*standard deviation = 0.042289 with N = 560 MeanA = 0.5098 2*standard deviation = 0.04225 with N = 561 MeanA = 0.51068 2*standard deviation = 0.04221 with N = 562 MeanA = 0.51155 2*standard deviation = 0.042171 with N = 563 MeanA = 0.51241 2*standard deviation = 0.042132 with N = 564 MeanA = 0.51327 2*standard deviation = 0.042093 with N = 565 MeanA = 0.51237 2*standard deviation = 0.042057 with N = 566 MeanA = 0.51146 2*standard deviation = 0.042022 with N = 567 MeanA = 0.51232 2*standard deviation = 0.041983 with N = 568 MeanA = 0.51318 2*standard deviation = 0.041944 with N = 569 MeanA = 0.51404 2*standard deviation = 0.041906 with N = 570 MeanA = 0.51313 2*standard deviation = 0.041871 with N = 571 MeanA = 0.51399 2*standard deviation = 0.041832 with N = 572 MeanA = 0.51483 2*standard deviation = 0.041794 with N = 573 MeanA = 0.51568 2*standard deviation = 0.041755 with N = 574 MeanA = 0.51478 2*standard deviation = 0.041721 with N = 575 MeanA = 0.51562 2*standard deviation = 0.041683 with N = 576 MeanA = 0.51473 2*standard deviation = 0.041649 with N = 577 MeanA = 0.51384 2*standard deviation = 0.041615 with N = 578 MeanA = 0.51295 2*standard deviation = 0.041581 with N = 579 MeanA = 0.51379 2*standard deviation = 0.041543 with N = 580 MeanA = 0.51463 2*standard deviation = 0.041505 with N = 581 MeanA = 0.51546 2*standard deviation = 0.041467 with N = 582 MeanA = 0.51458 2*standard deviation = 0.041434 with N = 583 MeanA = 0.5137 2*standard deviation = 0.0414 with N = 584 MeanA = 0.51282 2*standard deviation = 0.041367 with N = 585 MeanA = 0.51365 2*standard deviation = 0.041329 with N = 586 MeanA = 0.51448 2*standard deviation = 0.041292 with N = 587 MeanA = 0.51531 2*standard deviation = 0.041255 with N = 588 MeanA = 0.51613 2*standard deviation = 0.041218 with N = 589 MeanA = 0.51695 2*standard deviation = 0.041181 with N = 590 MeanA = 0.51777 2*standard deviation = 0.041143 with N = 591 MeanA = 0.51689 2*standard deviation = 0.041111 with N = 592 MeanA = 0.51771 2*standard deviation = 0.041074 with N = 593 MeanA = 0.51852 2*standard deviation = 0.041037 with N = 594 MeanA = 0.51933 2*standard deviation = 0.041 with N = 595 MeanA = 0.52013 2*standard deviation = 0.040963 with N = 596 MeanA = 0.51926 2*standard deviation = 0.040931 with N = 597 MeanA = 0.52007 2*standard deviation = 0.040894 with N = 598 MeanA = 0.5192 2*standard deviation = 0.040863 with N = 599 MeanA = 0.52 2*standard deviation = 0.040826 with N = 600 MeanA = 0.5208 2*standard deviation = 0.040789 with N = 601 MeanA = 0.52159 2*standard deviation = 0.040753 with N = 602 MeanA = 0.52073 2*standard deviation = 0.040722 with N = 603 MeanA = 0.52152 2*standard deviation = 0.040685 with N = 604 MeanA = 0.52231 2*standard deviation = 0.040649 with N = 605 MeanA = 0.52145 2*standard deviation = 0.040618 with N = 606 MeanA = 0.52059 2*standard deviation = 0.040588 with N = 607 MeanA = 0.52138 2*standard deviation = 0.040552 with N = 608 MeanA = 0.52217 2*standard deviation = 0.040515 with N = 609 MeanA = 0.52295 2*standard deviation = 0.040479 with N = 610 MeanA = 0.52209 2*standard deviation = 0.040449 with N = 611 MeanA = 0.52288 2*standard deviation = 0.040413 with N = 612 MeanA = 0.52365 2*standard deviation = 0.040377 with N = 613 MeanA = 0.5228 2*standard deviation = 0.040348 with N = 614 MeanA = 0.52195 2*standard deviation = 0.040318 with N = 615 MeanA = 0.5211 2*standard deviation = 0.040288 with N = 616 MeanA = 0.52188 2*standard deviation = 0.040253 with N = 617 MeanA = 0.52104 2*standard deviation = 0.040223 with N = 618 MeanA = 0.52181 2*standard deviation = 0.040188 with N = 619 MeanA = 0.52258 2*standard deviation = 0.040152 with N = 620 MeanA = 0.52174 2*standard deviation = 0.040123 with N = 621 MeanA = 0.52251 2*standard deviation = 0.040088 with N = 622 MeanA = 0.52327 2*standard deviation = 0.040053 with N = 623 MeanA = 0.52404 2*standard deviation = 0.040018 with N = 624 MeanA = 0.5232 2*standard deviation = 0.039989 with N = 625 MeanA = 0.52236 2*standard deviation = 0.03996 with N = 626 MeanA = 0.52153 2*standard deviation = 0.039931 with N = 627 MeanA = 0.52229 2*standard deviation = 0.039896 with N = 628 MeanA = 0.52305 2*standard deviation = 0.039862 with N = 629 MeanA = 0.52222 2*standard deviation = 0.039833 with N = 630 MeanA = 0.52298 2*standard deviation = 0.039799 with N = 631 MeanA = 0.52373 2*standard deviation = 0.039764 with N = 632 MeanA = 0.52291 2*standard deviation = 0.039736 with N = 633 MeanA = 0.52208 2*standard deviation = 0.039708 with N = 634 MeanA = 0.52283 2*standard deviation = 0.039674 with N = 635 MeanA = 0.52201 2*standard deviation = 0.039645 with N = 636 MeanA = 0.52276 2*standard deviation = 0.039611 with N = 637 MeanA = 0.52194 2*standard deviation = 0.039583 with N = 638 MeanA = 0.52269 2*standard deviation = 0.03955 with N = 639 MeanA = 0.52187 2*standard deviation = 0.039522 with N = 640 MeanA = 0.52106 2*standard deviation = 0.039493 with N = 641 MeanA = 0.52025 2*standard deviation = 0.039465 with N = 642 MeanA = 0.521 2*standard deviation = 0.039432 with N = 643 MeanA = 0.52019 2*standard deviation = 0.039404 with N = 644 MeanA = 0.51938 2*standard deviation = 0.039376 with N = 645 MeanA = 0.51858 2*standard deviation = 0.039348 with N = 646 MeanA = 0.51932 2*standard deviation = 0.039315 with N = 647 MeanA = 0.51852 2*standard deviation = 0.039287 with N = 648 MeanA = 0.51772 2*standard deviation = 0.039259 with N = 649 MeanA = 0.51846 2*standard deviation = 0.039227 with N = 650 MeanA = 0.51767 2*standard deviation = 0.039199 with N = 651 MeanA = 0.51687 2*standard deviation = 0.039171 with N = 652 MeanA = 0.51761 2*standard deviation = 0.039139 with N = 653 MeanA = 0.51835 2*standard deviation = 0.039107 with N = 654 MeanA = 0.51908 2*standard deviation = 0.039075 with N = 655 MeanA = 0.51829 2*standard deviation = 0.039047 with N = 656 MeanA = 0.5175 2*standard deviation = 0.03902 with N = 657 MeanA = 0.51672 2*standard deviation = 0.038992 with N = 658 MeanA = 0.51745 2*standard deviation = 0.03896 with N = 659 MeanA = 0.51667 2*standard deviation = 0.038933 with N = 660 MeanA = 0.5174 2*standard deviation = 0.038901 with N = 661 MeanA = 0.51813 2*standard deviation = 0.03887 with N = 662 MeanA = 0.51735 2*standard deviation = 0.038843 with N = 663 MeanA = 0.51807 2*standard deviation = 0.038811 with N = 664 MeanA = 0.51729 2*standard deviation = 0.038784 with N = 665 MeanA = 0.51802 2*standard deviation = 0.038753 with N = 666 MeanA = 0.51724 2*standard deviation = 0.038726 with N = 667 MeanA = 0.51647 2*standard deviation = 0.038699 with N = 668 MeanA = 0.51719 2*standard deviation = 0.038668 with N = 669 MeanA = 0.51642 2*standard deviation = 0.038641 with N = 670 MeanA = 0.51565 2*standard deviation = 0.038614 with N = 671 MeanA = 0.51488 2*standard deviation = 0.038587 with N = 672 MeanA = 0.5156 2*standard deviation = 0.038557 with N = 673 MeanA = 0.51484 2*standard deviation = 0.03853 with N = 674 MeanA = 0.51556 2*standard deviation = 0.0385 with N = 675 MeanA = 0.51627 2*standard deviation = 0.03847 with N = 676 MeanA = 0.51551 2*standard deviation = 0.038443 with N = 677 MeanA = 0.51622 2*standard deviation = 0.038413 with N = 678 MeanA = 0.51694 2*standard deviation = 0.038383 with N = 679 MeanA = 0.51765 2*standard deviation = 0.038353 with N = 680 MeanA = 0.51836 2*standard deviation = 0.038322 with N = 681 MeanA = 0.51906 2*standard deviation = 0.038292 with N = 682 MeanA = 0.5183 2*standard deviation = 0.038266 with N = 683 MeanA = 0.51901 2*standard deviation = 0.038236 with N = 684 MeanA = 0.51825 2*standard deviation = 0.03821 with N = 685 MeanA = 0.51749 2*standard deviation = 0.038185 with N = 686 MeanA = 0.5182 2*standard deviation = 0.038155 with N = 687 MeanA = 0.51744 2*standard deviation = 0.038129 with N = 688 MeanA = 0.51814 2*standard deviation = 0.0381 with N = 689 MeanA = 0.51884 2*standard deviation = 0.03807 with N = 690 MeanA = 0.51809 2*standard deviation = 0.038044 with N = 691 MeanA = 0.51879 2*standard deviation = 0.038015 with N = 692 MeanA = 0.51804 2*standard deviation = 0.03799 with N = 693 MeanA = 0.51729 2*standard deviation = 0.037964 with N = 694 MeanA = 0.51799 2*standard deviation = 0.037935 with N = 695 MeanA = 0.51724 2*standard deviation = 0.03791 with N = 696 MeanA = 0.5165 2*standard deviation = 0.037884 with N = 697 MeanA = 0.51719 2*standard deviation = 0.037855 with N = 698 MeanA = 0.51788 2*standard deviation = 0.037826 with N = 699 MeanA = 0.51714 2*standard deviation = 0.037801 with N = 700 MeanA = 0.51783 2*standard deviation = 0.037772 with N = 701 MeanA = 0.51852 2*standard deviation = 0.037744 with N = 702 MeanA = 0.51778 2*standard deviation = 0.037719 with N = 703 MeanA = 0.51847 2*standard deviation = 0.03769 with N = 704 MeanA = 0.51773 2*standard deviation = 0.037665 with N = 705 MeanA = 0.517 2*standard deviation = 0.03764 with N = 706 MeanA = 0.51627 2*standard deviation = 0.037616 with N = 707 MeanA = 0.51695 2*standard deviation = 0.037587 with N = 708 MeanA = 0.51763 2*standard deviation = 0.037559 with N = 709 MeanA = 0.5169 2*standard deviation = 0.037534 with N = 710 MeanA = 0.51758 2*standard deviation = 0.037506 with N = 711 MeanA = 0.51826 2*standard deviation = 0.037478 with N = 712 MeanA = 0.51753 2*standard deviation = 0.037454 with N = 713 MeanA = 0.51681 2*standard deviation = 0.037429 with N = 714 MeanA = 0.51748 2*standard deviation = 0.037401 with N = 715 MeanA = 0.51816 2*standard deviation = 0.037373 with N = 716 MeanA = 0.51743 2*standard deviation = 0.037349 with N = 717 MeanA = 0.51811 2*standard deviation = 0.037321 with N = 718 MeanA = 0.51878 2*standard deviation = 0.037293 with N = 719 MeanA = 0.51806 2*standard deviation = 0.037269 with N = 720 MeanA = 0.51734 2*standard deviation = 0.037245 with N = 721 MeanA = 0.51662 2*standard deviation = 0.037221 with N = 722 MeanA = 0.51591 2*standard deviation = 0.037197 with N = 723 MeanA = 0.51657 2*standard deviation = 0.03717 with N = 724 MeanA = 0.51724 2*standard deviation = 0.037143 with N = 725 MeanA = 0.51653 2*standard deviation = 0.037119 with N = 726 MeanA = 0.51582 2*standard deviation = 0.037095 with N = 727 MeanA = 0.51648 2*standard deviation = 0.037068 with N = 728 MeanA = 0.51578 2*standard deviation = 0.037044 with N = 729 MeanA = 0.51644 2*standard deviation = 0.037017 with N = 730 MeanA = 0.5171 2*standard deviation = 0.03699 with N = 731 MeanA = 0.51776 2*standard deviation = 0.036963 with N = 732 MeanA = 0.51842 2*standard deviation = 0.036936 with N = 733 MeanA = 0.51771 2*standard deviation = 0.036913 with N = 734 MeanA = 0.51837 2*standard deviation = 0.036886 with N = 735 MeanA = 0.51766 2*standard deviation = 0.036863 with N = 736 MeanA = 0.51696 2*standard deviation = 0.036839 with N = 737 MeanA = 0.51626 2*standard deviation = 0.036816 with N = 738 MeanA = 0.51556 2*standard deviation = 0.036793 with N = 739 MeanA = 0.51622 2*standard deviation = 0.036766 with N = 740 MeanA = 0.51552 2*standard deviation = 0.036743 with N = 741 MeanA = 0.51617 2*standard deviation = 0.036717 with N = 742 MeanA = 0.51548 2*standard deviation = 0.036694 with N = 743 MeanA = 0.51478 2*standard deviation = 0.03667 with N = 744 MeanA = 0.51544 2*standard deviation = 0.036644 with N = 745 MeanA = 0.51609 2*standard deviation = 0.036618 with N = 746 MeanA = 0.51539 2*standard deviation = 0.036595 with N = 747 MeanA = 0.51604 2*standard deviation = 0.036569 with N = 748 MeanA = 0.51669 2*standard deviation = 0.036543 with N = 749 MeanA = 0.516 2*standard deviation = 0.03652 with N = 750 MeanA = 0.51531 2*standard deviation = 0.036498 with N = 751 MeanA = 0.51463 2*standard deviation = 0.036475 with N = 752 MeanA = 0.51394 2*standard deviation = 0.036452 with N = 753 MeanA = 0.51326 2*standard deviation = 0.036429 with N = 754 MeanA = 0.51258 2*standard deviation = 0.036406 with N = 755 MeanA = 0.51323 2*standard deviation = 0.036381 with N = 756 MeanA = 0.51255 2*standard deviation = 0.036358 with N = 757 MeanA = 0.51187 2*standard deviation = 0.036335 with N = 758 MeanA = 0.5112 2*standard deviation = 0.036313 with N = 759 MeanA = 0.51184 2*standard deviation = 0.036288 with N = 760 MeanA = 0.51117 2*standard deviation = 0.036265 with N = 761 MeanA = 0.5105 2*standard deviation = 0.036242 with N = 762 MeanA = 0.51114 2*standard deviation = 0.036217 with N = 763 MeanA = 0.51178 2*standard deviation = 0.036192 with N = 764 MeanA = 0.51242 2*standard deviation = 0.036168 with N = 765 MeanA = 0.51305 2*standard deviation = 0.036143 with N = 766 MeanA = 0.51239 2*standard deviation = 0.03612 with N = 767 MeanA = 0.51302 2*standard deviation = 0.036096 with N = 768 MeanA = 0.51365 2*standard deviation = 0.036071 with N = 769 MeanA = 0.51299 2*standard deviation = 0.036049 with N = 770 MeanA = 0.51362 2*standard deviation = 0.036024 with N = 771 MeanA = 0.51295 2*standard deviation = 0.036002 with N = 772 MeanA = 0.51229 2*standard deviation = 0.03598 with N = 773 MeanA = 0.51292 2*standard deviation = 0.035955 with N = 774 MeanA = 0.51355 2*standard deviation = 0.035931 with N = 775 MeanA = 0.51418 2*standard deviation = 0.035907 with N = 776 MeanA = 0.5148 2*standard deviation = 0.035882 with N = 777 MeanA = 0.51542 2*standard deviation = 0.035858 with N = 778 MeanA = 0.51605 2*standard deviation = 0.035833 with N = 779 MeanA = 0.51538 2*standard deviation = 0.035812 with N = 780 MeanA = 0.51472 2*standard deviation = 0.03579 with N = 781 MeanA = 0.51407 2*standard deviation = 0.035769 with N = 782 MeanA = 0.51469 2*standard deviation = 0.035744 with N = 783 MeanA = 0.51531 2*standard deviation = 0.03572 with N = 784 MeanA = 0.51592 2*standard deviation = 0.035696 with N = 785 MeanA = 0.51654 2*standard deviation = 0.035672 with N = 786 MeanA = 0.51588 2*standard deviation = 0.035651 with N = 787 MeanA = 0.5165 2*standard deviation = 0.035627 with N = 788 MeanA = 0.51584 2*standard deviation = 0.035606 with N = 789 MeanA = 0.51519 2*standard deviation = 0.035585 with N = 790 MeanA = 0.5158 2*standard deviation = 0.035561 with N = 791 MeanA = 0.51515 2*standard deviation = 0.03554 with N = 792 MeanA = 0.51576 2*standard deviation = 0.035516 with N = 793 MeanA = 0.51511 2*standard deviation = 0.035495 with N = 794 MeanA = 0.51447 2*standard deviation = 0.035474 with N = 795 MeanA = 0.51382 2*standard deviation = 0.035453 with N = 796 MeanA = 0.51443 2*standard deviation = 0.035429 with N = 797 MeanA = 0.51504 2*standard deviation = 0.035406 with N = 798 MeanA = 0.51439 2*standard deviation = 0.035385 with N = 799 MeanA = 0.515 2*standard deviation = 0.035362 with N = 800 MeanA = 0.51436 2*standard deviation = 0.035341 with N = 801 MeanA = 0.51496 2*standard deviation = 0.035317 with N = 802 MeanA = 0.51557 2*standard deviation = 0.035294 with N = 803 MeanA = 0.51493 2*standard deviation = 0.035274 with N = 804 MeanA = 0.51429 2*standard deviation = 0.035253 with N = 805 MeanA = 0.51365 2*standard deviation = 0.035232 with N = 806 MeanA = 0.51301 2*standard deviation = 0.035212 with N = 807 MeanA = 0.51361 2*standard deviation = 0.035189 with N = 808 MeanA = 0.51298 2*standard deviation = 0.035168 with N = 809 MeanA = 0.51358 2*standard deviation = 0.035145 with N = 810 MeanA = 0.51295 2*standard deviation = 0.035125 with N = 811 MeanA = 0.51355 2*standard deviation = 0.035102 with N = 812 MeanA = 0.51415 2*standard deviation = 0.035079 with N = 813 MeanA = 0.51474 2*standard deviation = 0.035056 with N = 814 MeanA = 0.51411 2*standard deviation = 0.035036 with N = 815 MeanA = 0.51471 2*standard deviation = 0.035013 with N = 816 MeanA = 0.5153 2*standard deviation = 0.034991 with N = 817 MeanA = 0.51467 2*standard deviation = 0.034971 with N = 818 MeanA = 0.51526 2*standard deviation = 0.034948 with N = 819 MeanA = 0.51585 2*standard deviation = 0.034925 with N = 820 MeanA = 0.51523 2*standard deviation = 0.034905 with N = 821 MeanA = 0.5146 2*standard deviation = 0.034885 with N = 822 MeanA = 0.51519 2*standard deviation = 0.034863 with N = 823 MeanA = 0.51456 2*standard deviation = 0.034843 with N = 824 MeanA = 0.51394 2*standard deviation = 0.034823 with N = 825 MeanA = 0.51453 2*standard deviation = 0.034801 with N = 826 MeanA = 0.51511 2*standard deviation = 0.034779 with N = 827 MeanA = 0.5157 2*standard deviation = 0.034756 with N = 828 MeanA = 0.51628 2*standard deviation = 0.034734 with N = 829 MeanA = 0.51566 2*standard deviation = 0.034714 with N = 830 MeanA = 0.51625 2*standard deviation = 0.034692 with N = 831 MeanA = 0.51683 2*standard deviation = 0.03467 with N = 832 MeanA = 0.51621 2*standard deviation = 0.034651 with N = 833 MeanA = 0.51559 2*standard deviation = 0.034631 with N = 834 MeanA = 0.51617 2*standard deviation = 0.034609 with N = 835 MeanA = 0.51555 2*standard deviation = 0.03459 with N = 836 MeanA = 0.51613 2*standard deviation = 0.034568 with N = 837 MeanA = 0.51551 2*standard deviation = 0.034548 with N = 838 MeanA = 0.5149 2*standard deviation = 0.034529 with N = 839 MeanA = 0.51548 2*standard deviation = 0.034507 with N = 840 MeanA = 0.51605 2*standard deviation = 0.034485 with N = 841 MeanA = 0.51544 2*standard deviation = 0.034466 with N = 842 MeanA = 0.51483 2*standard deviation = 0.034447 with N = 843 MeanA = 0.51422 2*standard deviation = 0.034428 with N = 844 MeanA = 0.51479 2*standard deviation = 0.034406 with N = 845 MeanA = 0.51418 2*standard deviation = 0.034387 with N = 846 MeanA = 0.51476 2*standard deviation = 0.034366 with N = 847 MeanA = 0.51415 2*standard deviation = 0.034347 with N = 848 MeanA = 0.51472 2*standard deviation = 0.034325 with N = 849 MeanA = 0.51412 2*standard deviation = 0.034306 with N = 850 MeanA = 0.51351 2*standard deviation = 0.034287 with N = 851 MeanA = 0.51291 2*standard deviation = 0.034268 with N = 852 MeanA = 0.51231 2*standard deviation = 0.034249 with N = 853 MeanA = 0.51288 2*standard deviation = 0.034228 with N = 854 MeanA = 0.51345 2*standard deviation = 0.034207 with N = 855 MeanA = 0.51402 2*standard deviation = 0.034186 with N = 856 MeanA = 0.51342 2*standard deviation = 0.034167 with N = 857 MeanA = 0.51282 2*standard deviation = 0.034148 with N = 858 MeanA = 0.51339 2*standard deviation = 0.034127 with N = 859 MeanA = 0.51395 2*standard deviation = 0.034106 with N = 860 MeanA = 0.51452 2*standard deviation = 0.034085 with N = 861 MeanA = 0.51392 2*standard deviation = 0.034067 with N = 862 MeanA = 0.51333 2*standard deviation = 0.034048 with N = 863 MeanA = 0.51273 2*standard deviation = 0.034029 with N = 864 MeanA = 0.51214 2*standard deviation = 0.034011 with N = 865 MeanA = 0.51155 2*standard deviation = 0.033992 with N = 866 MeanA = 0.51211 2*standard deviation = 0.033971 with N = 867 MeanA = 0.51152 2*standard deviation = 0.033953 with N = 868 MeanA = 0.51093 2*standard deviation = 0.033934 with N = 869 MeanA = 0.51034 2*standard deviation = 0.033915 with N = 870 MeanA = 0.51091 2*standard deviation = 0.033895 with N = 871 MeanA = 0.51032 2*standard deviation = 0.033876 with N = 872 MeanA = 0.50974 2*standard deviation = 0.033858 with N = 873 MeanA = 0.5103 2*standard deviation = 0.033838 with N = 874 MeanA = 0.50971 2*standard deviation = 0.033819 with N = 875 MeanA = 0.51027 2*standard deviation = 0.033799 with N = 876 MeanA = 0.51083 2*standard deviation = 0.033779 with N = 877 MeanA = 0.51025 2*standard deviation = 0.033761 with N = 878 MeanA = 0.51081 2*standard deviation = 0.03374 with N = 879 MeanA = 0.51023 2*standard deviation = 0.033722 with N = 880 MeanA = 0.50965 2*standard deviation = 0.033704 with N = 881 MeanA = 0.50907 2*standard deviation = 0.033685 with N = 882 MeanA = 0.50849 2*standard deviation = 0.033667 with N = 883 MeanA = 0.50905 2*standard deviation = 0.033647 with N = 884 MeanA = 0.5096 2*standard deviation = 0.033627 with N = 885 MeanA = 0.51016 2*standard deviation = 0.033608 with N = 886 MeanA = 0.50958 2*standard deviation = 0.033589 with N = 887 MeanA = 0.50901 2*standard deviation = 0.033571 with N = 888 MeanA = 0.50844 2*standard deviation = 0.033553 with N = 889 MeanA = 0.50899 2*standard deviation = 0.033534 with N = 890 MeanA = 0.50954 2*standard deviation = 0.033514 with N = 891 MeanA = 0.51009 2*standard deviation = 0.033494 with N = 892 MeanA = 0.51064 2*standard deviation = 0.033475 with N = 893 MeanA = 0.51007 2*standard deviation = 0.033457 with N = 894 MeanA = 0.51061 2*standard deviation = 0.033437 with N = 895 MeanA = 0.51116 2*standard deviation = 0.033418 with N = 896 MeanA = 0.51059 2*standard deviation = 0.0334 with N = 897 MeanA = 0.51002 2*standard deviation = 0.033382 with N = 898 MeanA = 0.50945 2*standard deviation = 0.033364 with N = 899 MeanA = 0.50889 2*standard deviation = 0.033347 with N = 900 MeanA = 0.50943 2*standard deviation = 0.033327 with N = 901 MeanA = 0.50998 2*standard deviation = 0.033308 with N = 902 MeanA = 0.50941 2*standard deviation = 0.03329 with N = 903 MeanA = 0.50885 2*standard deviation = 0.033273 with N = 904 MeanA = 0.50939 2*standard deviation = 0.033254 with N = 905 MeanA = 0.50993 2*standard deviation = 0.033235 with N = 906 MeanA = 0.50937 2*standard deviation = 0.033217 with N = 907 MeanA = 0.50881 2*standard deviation = 0.033199 with N = 908 MeanA = 0.50825 2*standard deviation = 0.033182 with N = 909 MeanA = 0.50879 2*standard deviation = 0.033163 with N = 910 MeanA = 0.50823 2*standard deviation = 0.033145 with N = 911 MeanA = 0.50768 2*standard deviation = 0.033128 with N = 912 MeanA = 0.50712 2*standard deviation = 0.03311 with N = 913 MeanA = 0.50766 2*standard deviation = 0.033091 with N = 914 MeanA = 0.5071 2*standard deviation = 0.033074 with N = 915 MeanA = 0.50764 2*standard deviation = 0.033055 with N = 916 MeanA = 0.50818 2*standard deviation = 0.033037 with N = 917 MeanA = 0.50763 2*standard deviation = 0.033019 with N = 918 MeanA = 0.50816 2*standard deviation = 0.033001 with N = 919 MeanA = 0.5087 2*standard deviation = 0.032982 with N = 920 MeanA = 0.50814 2*standard deviation = 0.032965 with N = 921 MeanA = 0.50759 2*standard deviation = 0.032947 with N = 922 MeanA = 0.50704 2*standard deviation = 0.03293 with N = 923 MeanA = 0.50649 2*standard deviation = 0.032913 with N = 924 MeanA = 0.50703 2*standard deviation = 0.032894 with N = 925 MeanA = 0.50648 2*standard deviation = 0.032877 with N = 926 MeanA = 0.50593 2*standard deviation = 0.03286 with N = 927 MeanA = 0.50539 2*standard deviation = 0.032842 with N = 928 MeanA = 0.50592 2*standard deviation = 0.032824 with N = 929 MeanA = 0.50645 2*standard deviation = 0.032806 with N = 930 MeanA = 0.50591 2*standard deviation = 0.032789 with N = 931 MeanA = 0.50644 2*standard deviation = 0.032771 with N = 932 MeanA = 0.50589 2*standard deviation = 0.032754 with N = 933 MeanA = 0.50535 2*standard deviation = 0.032737 with N = 934 MeanA = 0.50481 2*standard deviation = 0.032719 with N = 935 MeanA = 0.50534 2*standard deviation = 0.032702 with N = 936 MeanA = 0.5048 2*standard deviation = 0.032685 with N = 937 MeanA = 0.50426 2*standard deviation = 0.032667 with N = 938 MeanA = 0.50373 2*standard deviation = 0.03265 with N = 939 MeanA = 0.50426 2*standard deviation = 0.032633 with N = 940 MeanA = 0.50478 2*standard deviation = 0.032615 with N = 941 MeanA = 0.50425 2*standard deviation = 0.032598 with N = 942 MeanA = 0.50371 2*standard deviation = 0.032581 with N = 943 MeanA = 0.50424 2*standard deviation = 0.032563 with N = 944 MeanA = 0.50476 2*standard deviation = 0.032546 with N = 945 MeanA = 0.50423 2*standard deviation = 0.032529 with N = 946 MeanA = 0.50475 2*standard deviation = 0.032511 with N = 947 MeanA = 0.50527 2*standard deviation = 0.032494 with N = 948 MeanA = 0.50474 2*standard deviation = 0.032477 with N = 949 MeanA = 0.50526 2*standard deviation = 0.03246 with N = 950 MeanA = 0.50578 2*standard deviation = 0.032442 with N = 951 MeanA = 0.50525 2*standard deviation = 0.032425 with N = 952 MeanA = 0.50472 2*standard deviation = 0.032409 with N = 953 MeanA = 0.50419 2*standard deviation = 0.032392 with N = 954 MeanA = 0.50471 2*standard deviation = 0.032375 with N = 955 MeanA = 0.50523 2*standard deviation = 0.032357 with N = 956 MeanA = 0.5047 2*standard deviation = 0.032341 with N = 957 MeanA = 0.50522 2*standard deviation = 0.032324 with N = 958 MeanA = 0.50469 2*standard deviation = 0.032307 with N = 959 MeanA = 0.50417 2*standard deviation = 0.032291 with N = 960 MeanA = 0.50468 2*standard deviation = 0.03...
95% confidence interval achieved for A with N = 20622 and width = 0.013926

3 Comments
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Joseph Weiss
Joseph Weiss on 28 Apr 2022
I would do this, but as it turns out, my professor requires that we use recursive definitions for the mean and variance. I appreciate this though, and I will keep this in mind.
Chunru
Chunru on 28 Apr 2022
Ran in:
Ran in:
You can do the recursive computation of mean and var in more efficient way (without the recursive function):
A_set = [];
n=1;
Atotal = 0; % recursively accumulate A
A2total = 0; % recursively accumulate A.^2
while true
A = randsrc(1,1,[0,1;0.49,0.51]);
A_set(end+1) = A;
Atotal = Atotal + A;
k = Atotal/n;
A2total = A2total + A.^2;
l = (A2total -n*k.^2)/n;
%k = mean(A_set);
%l = var(A_set);
g = 2*sqrt(l/n);
disp(['MeanA = ' num2str(k) ' 2*standard deviation = ' num2str(g) ' with N = ' num2str(n)])
ConfidenceInterval_Min_A = k - 2*sqrt(l/n);
ConfidenceInterval_Max_A = k + 2*sqrt(l/n);
WidthA = ConfidenceInterval_Max_A - ConfidenceInterval_Min_A;
if (n>10) && (((k-2*sqrt(l/n) > 0.5)) || ((k+2*sqrt(l/n) < 0.5)))
disp(['95% confidence interval achieved for A with N = ' num2str(n) ' and width = ' num2str(WidthA)])
break
end
n=n+1;
end
MeanA = 1 2*standard deviation = 0 with N = 1 MeanA = 0.5 2*standard deviation = 0.70711 with N = 2 MeanA = 0.33333 2*standard deviation = 0.54433 with N = 3 MeanA = 0.5 2*standard deviation = 0.5 with N = 4 MeanA = 0.4 2*standard deviation = 0.43818 with N = 5 MeanA = 0.33333 2*standard deviation = 0.3849 with N = 6 MeanA = 0.28571 2*standard deviation = 0.34149 with N = 7 MeanA = 0.375 2*standard deviation = 0.34233 with N = 8 MeanA = 0.33333 2*standard deviation = 0.31427 with N = 9 MeanA = 0.3 2*standard deviation = 0.28983 with N = 10 MeanA = 0.27273 2*standard deviation = 0.26856 with N = 11 MeanA = 0.25 2*standard deviation = 0.25 with N = 12 MeanA = 0.30769 2*standard deviation = 0.25602 with N = 13 MeanA = 0.28571 2*standard deviation = 0.24147 with N = 14 MeanA = 0.33333 2*standard deviation = 0.24343 with N = 15 MeanA = 0.375 2*standard deviation = 0.24206 with N = 16 MeanA = 0.41176 2*standard deviation = 0.23873 with N = 17 MeanA = 0.38889 2*standard deviation = 0.22981 with N = 18 MeanA = 0.36842 2*standard deviation = 0.22133 with N = 19 MeanA = 0.35 2*standard deviation = 0.21331 with N = 20 MeanA = 0.38095 2*standard deviation = 0.21194 with N = 21 MeanA = 0.36364 2*standard deviation = 0.20512 with N = 22 MeanA = 0.34783 2*standard deviation = 0.19862 with N = 23 MeanA = 0.33333 2*standard deviation = 0.19245 with N = 24 MeanA = 0.36 2*standard deviation = 0.192 with N = 25 MeanA = 0.38462 2*standard deviation = 0.19082 with N = 26 MeanA = 0.37037 2*standard deviation = 0.18587 with N = 27 MeanA = 0.35714 2*standard deviation = 0.1811 with N = 28 MeanA = 0.37931 2*standard deviation = 0.1802 with N = 29 MeanA = 0.4 2*standard deviation = 0.17889 with N = 30 MeanA = 0.3871 2*standard deviation = 0.17497 with N = 31 MeanA = 0.375 2*standard deviation = 0.17116 with N = 32 MeanA = 0.39394 2*standard deviation = 0.17012 with N = 33 MeanA = 0.38235 2*standard deviation = 0.16668 with N = 34 MeanA = 0.37143 2*standard deviation = 0.16335 with N = 35 MeanA = 0.36111 2*standard deviation = 0.16011 with N = 36 MeanA = 0.37838 2*standard deviation = 0.15946 with N = 37 MeanA = 0.39474 2*standard deviation = 0.15859 with N = 38 MeanA = 0.38462 2*standard deviation = 0.15581 with N = 39 MeanA = 0.4 2*standard deviation = 0.15492 with N = 40 MeanA = 0.41463 2*standard deviation = 0.15388 with N = 41 MeanA = 0.42857 2*standard deviation = 0.15272 with N = 42 MeanA = 0.44186 2*standard deviation = 0.15146 with N = 43 MeanA = 0.45455 2*standard deviation = 0.15013 with N = 44 MeanA = 0.44444 2*standard deviation = 0.14815 with N = 45 MeanA = 0.45652 2*standard deviation = 0.14688 with N = 46 MeanA = 0.46809 2*standard deviation = 0.14557 with N = 47 MeanA = 0.45833 2*standard deviation = 0.14384 with N = 48 MeanA = 0.44898 2*standard deviation = 0.14211 with N = 49 MeanA = 0.46 2*standard deviation = 0.14097 with N = 50 MeanA = 0.47059 2*standard deviation = 0.13979 with N = 51 MeanA = 0.46154 2*standard deviation = 0.13826 with N = 52 MeanA = 0.4717 2*standard deviation = 0.13714 with N = 53 MeanA = 0.46296 2*standard deviation = 0.13571 with N = 54 MeanA = 0.45455 2*standard deviation = 0.13428 with N = 55 MeanA = 0.46429 2*standard deviation = 0.13329 with N = 56 MeanA = 0.45614 2*standard deviation = 0.13194 with N = 57 MeanA = 0.44828 2*standard deviation = 0.1306 with N = 58 MeanA = 0.44068 2*standard deviation = 0.12927 with N = 59 MeanA = 0.45 2*standard deviation = 0.12845 with N = 60 MeanA = 0.45902 2*standard deviation = 0.12761 with N = 61 MeanA = 0.45161 2*standard deviation = 0.1264 with N = 62 MeanA = 0.46032 2*standard deviation = 0.12559 with N = 63 MeanA = 0.45312 2*standard deviation = 0.12445 with N = 64 MeanA = 0.44615 2*standard deviation = 0.12331 with N = 65 MeanA = 0.45455 2*standard deviation = 0.12258 with N = 66 MeanA = 0.44776 2*standard deviation = 0.1215 with N = 67 MeanA = 0.44118 2*standard deviation = 0.12043 with N = 68 MeanA = 0.44928 2*standard deviation = 0.11976 with N = 69 MeanA = 0.45714 2*standard deviation = 0.11908 with N = 70 MeanA = 0.46479 2*standard deviation = 0.11838 with N = 71 MeanA = 0.45833 2*standard deviation = 0.11744 with N = 72 MeanA = 0.46575 2*standard deviation = 0.11677 with N = 73 MeanA = 0.45946 2*standard deviation = 0.11586 with N = 74 MeanA = 0.46667 2*standard deviation = 0.11521 with N = 75 MeanA = 0.46053 2*standard deviation = 0.11435 with N = 76 MeanA = 0.45455 2*standard deviation = 0.11349 with N = 77 MeanA = 0.44872 2*standard deviation = 0.11263 with N = 78 MeanA = 0.4557 2*standard deviation = 0.11207 with N = 79 MeanA = 0.4625 2*standard deviation = 0.11149 with N = 80 MeanA = 0.45679 2*standard deviation = 0.1107 with N = 81 MeanA = 0.45122 2*standard deviation = 0.1099 with N = 82 MeanA = 0.44578 2*standard deviation = 0.10912 with N = 83 MeanA = 0.45238 2*standard deviation = 0.10861 with N = 84 MeanA = 0.45882 2*standard deviation = 0.1081 with N = 85 MeanA = 0.45349 2*standard deviation = 0.10737 with N = 86 MeanA = 0.45977 2*standard deviation = 0.10686 with N = 87 MeanA = 0.46591 2*standard deviation = 0.10635 with N = 88 MeanA = 0.47191 2*standard deviation = 0.10583 with N = 89 MeanA = 0.47778 2*standard deviation = 0.10531 with N = 90 MeanA = 0.48352 2*standard deviation = 0.10477 with N = 91 MeanA = 0.48913 2*standard deviation = 0.10423 with N = 92 MeanA = 0.49462 2*standard deviation = 0.10369 with N = 93 MeanA = 0.5 2*standard deviation = 0.10314 with N = 94 MeanA = 0.49474 2*standard deviation = 0.10259 with N = 95 MeanA = 0.48958 2*standard deviation = 0.10204 with N = 96 MeanA = 0.49485 2*standard deviation = 0.10153 with N = 97 MeanA = 0.5 2*standard deviation = 0.10102 with N = 98 MeanA = 0.49495 2*standard deviation = 0.1005 with N = 99 MeanA = 0.49 2*standard deviation = 0.09998 with N = 100 MeanA = 0.48515 2*standard deviation = 0.09946 with N = 101 MeanA = 0.4902 2*standard deviation = 0.098996 with N = 102 MeanA = 0.48544 2*standard deviation = 0.098491 with N = 103 MeanA = 0.48077 2*standard deviation = 0.097986 with N = 104 MeanA = 0.48571 2*standard deviation = 0.09755 with N = 105 MeanA = 0.48113 2*standard deviation = 0.097059 with N = 106 MeanA = 0.47664 2*standard deviation = 0.096568 with N = 107 MeanA = 0.48148 2*standard deviation = 0.096159 with N = 108 MeanA = 0.48624 2*standard deviation = 0.095746 with N = 109 MeanA = 0.49091 2*standard deviation = 0.09533 with N = 110 MeanA = 0.48649 2*standard deviation = 0.094881 with N = 111 MeanA = 0.49107 2*standard deviation = 0.094476 with N = 112 MeanA = 0.48673 2*standard deviation = 0.094039 with N = 113 MeanA = 0.49123 2*standard deviation = 0.093644 with N = 114 MeanA = 0.49565 2*standard deviation = 0.093247 with N = 115 MeanA = 0.49138 2*standard deviation = 0.092834 with N = 116 MeanA = 0.49573 2*standard deviation = 0.092447 with N = 117 MeanA = 0.49153 2*standard deviation = 0.092044 with N = 118 MeanA = 0.4958 2*standard deviation = 0.091667 with N = 119 MeanA = 0.49167 2*standard deviation = 0.091274 with N = 120 MeanA = 0.49587 2*standard deviation = 0.090906 with N = 121 MeanA = 0.5 2*standard deviation = 0.090536 with N = 122 MeanA = 0.49593 2*standard deviation = 0.090164 with N = 123 MeanA = 0.5 2*standard deviation = 0.089803 with N = 124 MeanA = 0.496 2*standard deviation = 0.08944 with N = 125 MeanA = 0.49206 2*standard deviation = 0.089076 with N = 126 MeanA = 0.48819 2*standard deviation = 0.088711 with N = 127 MeanA = 0.48438 2*standard deviation = 0.088345 with N = 128 MeanA = 0.48062 2*standard deviation = 0.087979 with N = 129 MeanA = 0.47692 2*standard deviation = 0.087612 with N = 130 MeanA = 0.48092 2*standard deviation = 0.087307 with N = 131 MeanA = 0.48485 2*standard deviation = 0.086999 with N = 132 MeanA = 0.4812 2*standard deviation = 0.08665 with N = 133 MeanA = 0.48507 2*standard deviation = 0.086348 with N = 134 MeanA = 0.48148 2*standard deviation = 0.086007 with N = 135 MeanA = 0.48529 2*standard deviation = 0.085712 with N = 136 MeanA = 0.48175 2*standard deviation = 0.085379 with N = 137 MeanA = 0.48551 2*standard deviation = 0.08509 with N = 138 MeanA = 0.48201 2*standard deviation = 0.084764 with N = 139 MeanA = 0.48571 2*standard deviation = 0.084481 with N = 140 MeanA = 0.48936 2*standard deviation = 0.084196 with N = 141 MeanA = 0.48592 2*standard deviation = 0.083885 with N = 142 MeanA = 0.48951 2*standard deviation = 0.083606 with N = 143 MeanA = 0.48611 2*standard deviation = 0.083301 with N = 144 MeanA = 0.48276 2*standard deviation = 0.082996 with N = 145 MeanA = 0.4863 2*standard deviation = 0.08273 with N = 146 MeanA = 0.4898 2*standard deviation = 0.082461 with N = 147 MeanA = 0.49324 2*standard deviation = 0.082192 with N = 148 MeanA = 0.48993 2*standard deviation = 0.081907 with N = 149 MeanA = 0.48667 2*standard deviation = 0.081621 with N = 150 MeanA = 0.49007 2*standard deviation = 0.081363 with N = 151 MeanA = 0.48684 2*standard deviation = 0.081083 with N = 152 MeanA = 0.4902 2*standard deviation = 0.08083 with N = 153 MeanA = 0.48701 2*standard deviation = 0.080555 with N = 154 MeanA = 0.48387 2*standard deviation = 0.08028 with N = 155 MeanA = 0.48718 2*standard deviation = 0.080038 with N = 156 MeanA = 0.49045 2*standard deviation = 0.079794 with N = 157 MeanA = 0.48734 2*standard deviation = 0.07953 with N = 158 MeanA = 0.48428 2*standard deviation = 0.079266 with N = 159 MeanA = 0.48125 2*standard deviation = 0.079001 with N = 160 MeanA = 0.48447 2*standard deviation = 0.078773 with N = 161 MeanA = 0.48765 2*standard deviation = 0.078543 with N = 162 MeanA = 0.48466 2*standard deviation = 0.078289 with N = 163 MeanA = 0.48171 2*standard deviation = 0.078035 with N = 164 MeanA = 0.48485 2*standard deviation = 0.077814 with N = 165 MeanA = 0.48193 2*standard deviation = 0.077564 with N = 166 MeanA = 0.47904 2*standard deviation = 0.077314 with N = 167 MeanA = 0.47619 2*standard deviation = 0.077064 with N = 168 MeanA = 0.47337 2*standard deviation = 0.076814 with N = 169 MeanA = 0.47059 2*standard deviation = 0.076564 with N = 170 MeanA = 0.47368 2*standard deviation = 0.076366 with N = 171 MeanA = 0.47093 2*standard deviation = 0.07612 with N = 172 MeanA = 0.46821 2*standard deviation = 0.075875 with N = 173 MeanA = 0.47126 2*standard deviation = 0.075685 with N = 174 MeanA = 0.47429 2*standard deviation = 0.075493 with N = 175 MeanA = 0.47159 2*standard deviation = 0.075256 with N = 176 MeanA = 0.47458 2*standard deviation = 0.075067 with N = 177 MeanA = 0.47753 2*standard deviation = 0.074877 with N = 178 MeanA = 0.47486 2*standard deviation = 0.074649 with N = 179 MeanA = 0.47778 2*standard deviation = 0.074462 with N = 180 MeanA = 0.47514 2*standard deviation = 0.074237 with N = 181 MeanA = 0.47802 2*standard deviation = 0.074053 with N = 182 MeanA = 0.48087 2*standard deviation = 0.073868 with N = 183 MeanA = 0.47826 2*standard deviation = 0.073651 with N = 184 MeanA = 0.48108 2*standard deviation = 0.073469 with N = 185 MeanA = 0.47849 2*standard deviation = 0.073256 with N = 186 MeanA = 0.47594 2*standard deviation = 0.073042 with N = 187 MeanA = 0.47872 2*standard deviation = 0.072866 with N = 188 MeanA = 0.47619 2*standard deviation = 0.072657 with N = 189 MeanA = 0.47368 2*standard deviation = 0.072447 with N = 190 MeanA = 0.47644 2*standard deviation = 0.072277 with N = 191 MeanA = 0.47396 2*standard deviation = 0.072071 with N = 192 MeanA = 0.4715 2*standard deviation = 0.071865 with N = 193 MeanA = 0.46907 2*standard deviation = 0.071658 with N = 194 MeanA = 0.47179 2*standard deviation = 0.071497 with N = 195 MeanA = 0.47449 2*standard deviation = 0.071336 with N = 196 MeanA = 0.47716 2*standard deviation = 0.071173 with N = 197 MeanA = 0.47475 2*standard deviation = 0.070976 with N = 198 MeanA = 0.47739 2*standard deviation = 0.070816 with N = 199 MeanA = 0.48 2*standard deviation = 0.070654 with N = 200 MeanA = 0.48259 2*standard deviation = 0.070492 with N = 201 MeanA = 0.48515 2*standard deviation = 0.070329 with N = 202 MeanA = 0.48768 2*standard deviation = 0.070165 with N = 203 MeanA = 0.4902 2*standard deviation = 0.070001 with N = 204 MeanA = 0.4878 2*standard deviation = 0.069822 with N = 205 MeanA = 0.48544 2*standard deviation = 0.069644 with N = 206 MeanA = 0.48792 2*standard deviation = 0.069485 with N = 207 MeanA = 0.49038 2*standard deviation = 0.069325 with N = 208 MeanA = 0.48804 2*standard deviation = 0.069152 with N = 209 MeanA = 0.49048 2*standard deviation = 0.068994 with N = 210 MeanA = 0.49289 2*standard deviation = 0.068836 with N = 211 MeanA = 0.49057 2*standard deviation = 0.068668 with N = 212 MeanA = 0.49296 2*standard deviation = 0.068512 with N = 213 MeanA = 0.49065 2*standard deviation = 0.068347 with N = 214 MeanA = 0.49302 2*standard deviation = 0.068193 with N = 215 MeanA = 0.49074 2*standard deviation = 0.06803 with N = 216 MeanA = 0.48848 2*standard deviation = 0.067866 with N = 217 MeanA = 0.48624 2*standard deviation = 0.067703 with N = 218 MeanA = 0.48402 2*standard deviation = 0.067539 with N = 219 MeanA = 0.48182 2*standard deviation = 0.067375 with N = 220 MeanA = 0.48416 2*standard deviation = 0.067234 with N = 221 MeanA = 0.48649 2*standard deviation = 0.067091 with N = 222 MeanA = 0.48879 2*standard deviation = 0.066948 with N = 223 MeanA = 0.49107 2*standard deviation = 0.066805 with N = 224 MeanA = 0.48889 2*standard deviation = 0.06665 with N = 225 MeanA = 0.49115 2*standard deviation = 0.066509 with N = 226 MeanA = 0.49339 2*standard deviation = 0.066367 with N = 227 MeanA = 0.49123 2*standard deviation = 0.066216 with N = 228 MeanA = 0.49345 2*standard deviation = 0.066076 with N = 229 MeanA = 0.49565 2*standard deviation = 0.065936 with N = 230 MeanA = 0.49784 2*standard deviation = 0.065795 with N = 231 MeanA = 0.5 2*standard deviation = 0.065653 with N = 232 MeanA = 0.50215 2*standard deviation = 0.065512 with N = 233 MeanA = 0.5 2*standard deviation = 0.065372 with N = 234 MeanA = 0.50213 2*standard deviation = 0.065232 with N = 235 MeanA = 0.5 2*standard deviation = 0.065094 with N = 236 MeanA = 0.50211 2*standard deviation = 0.064956 with N = 237 MeanA = 0.5 2*standard deviation = 0.06482 with N = 238 MeanA = 0.49791 2*standard deviation = 0.064684 with N = 239 MeanA = 0.5 2*standard deviation = 0.06455 with N = 240 MeanA = 0.50207 2*standard deviation = 0.064415 with N = 241 MeanA = 0.50413 2*standard deviation = 0.06428 with N = 242 MeanA = 0.50206 2*standard deviation = 0.064149 with N = 243 MeanA = 0.5 2*standard deviation = 0.064018 with N = 244 MeanA = 0.49796 2*standard deviation = 0.063887 with N = 245 MeanA = 0.49593 2*standard deviation = 0.063756 with N = 246 MeanA = 0.49798 2*standard deviation = 0.063628 with N = 247 MeanA = 0.49597 2*standard deviation = 0.063498 with N = 248 MeanA = 0.49398 2*standard deviation = 0.063368 with N = 249 MeanA = 0.496 2*standard deviation = 0.063244 with N = 250 MeanA = 0.49402 2*standard deviation = 0.063115 with N = 251 MeanA = 0.49206 2*standard deviation = 0.062986 with N = 252 MeanA = 0.49407 2*standard deviation = 0.062865 with N = 253 MeanA = 0.49213 2*standard deviation = 0.062738 with N = 254 MeanA = 0.4902 2*standard deviation = 0.06261 with N = 255 MeanA = 0.49219 2*standard deviation = 0.062492 with N = 256 MeanA = 0.49416 2*standard deviation = 0.062374 with N = 257 MeanA = 0.49612 2*standard deviation = 0.062255 with N = 258 MeanA = 0.49807 2*standard deviation = 0.062137 with N = 259 MeanA = 0.5 2*standard deviation = 0.062017 with N = 260 MeanA = 0.50192 2*standard deviation = 0.061898 with N = 261 MeanA = 0.5 2*standard deviation = 0.06178 with N = 262 MeanA = 0.5019 2*standard deviation = 0.061662 with N = 263 MeanA = 0.50379 2*standard deviation = 0.061544 with N = 264 MeanA = 0.50189 2*standard deviation = 0.061429 with N = 265 MeanA = 0.5 2*standard deviation = 0.061314 with N = 266 MeanA = 0.50187 2*standard deviation = 0.061199 with N = 267 MeanA = 0.5 2*standard deviation = 0.061085 with N = 268 MeanA = 0.49814 2*standard deviation = 0.060971 with N = 269 MeanA = 0.4963 2*standard deviation = 0.060856 with N = 270 MeanA = 0.49446 2*standard deviation = 0.060742 with N = 271 MeanA = 0.49265 2*standard deviation = 0.060627 with N = 272 MeanA = 0.49451 2*standard deviation = 0.060519 with N = 273 MeanA = 0.49635 2*standard deviation = 0.060411 with N = 274 MeanA = 0.49818 2*standard deviation = 0.060302 with N = 275 MeanA = 0.5 2*standard deviation = 0.060193 with N = 276 MeanA = 0.50181 2*standard deviation = 0.060084 with N = 277 MeanA = 0.5036 2*standard deviation = 0.059974 with N = 278 MeanA = 0.50538 2*standard deviation = 0.059865 with N = 279 MeanA = 0.50357 2*standard deviation = 0.05976 with N = 280 MeanA = 0.50178 2*standard deviation = 0.059655 with N = 281 MeanA = 0.5 2*standard deviation = 0.059549 with N = 282 MeanA = 0.49823 2*standard deviation = 0.059443 with N = 283 MeanA = 0.5 2*standard deviation = 0.059339 with N = 284 MeanA = 0.49825 2*standard deviation = 0.059235 with N = 285 MeanA = 0.4965 2*standard deviation = 0.05913 with N = 286 MeanA = 0.49826 2*standard deviation = 0.059028 with N = 287 MeanA = 0.5 2*standard deviation = 0.058926 with N = 288 MeanA = 0.49827 2*standard deviation = 0.058823 with N = 289 MeanA = 0.5 2*standard deviation = 0.058722 with N = 290 MeanA = 0.50172 2*standard deviation = 0.058621 with N = 291 MeanA = 0.50342 2*standard deviation = 0.058519 with N = 292 MeanA = 0.50171 2*standard deviation = 0.05842 with N = 293 MeanA = 0.5 2*standard deviation = 0.058321 with N = 294 MeanA = 0.49831 2*standard deviation = 0.058222 with N = 295 MeanA = 0.49662 2*standard deviation = 0.058122 with N = 296 MeanA = 0.49495 2*standard deviation = 0.058023 with N = 297 MeanA = 0.49329 2*standard deviation = 0.057923 with N = 298 MeanA = 0.49164 2*standard deviation = 0.057823 with N = 299 MeanA = 0.49 2*standard deviation = 0.057723 with N = 300 MeanA = 0.48837 2*standard deviation = 0.057623 with N = 301 MeanA = 0.49007 2*standard deviation = 0.057532 with N = 302 MeanA = 0.48845 2*standard deviation = 0.057433 with N = 303 MeanA = 0.48684 2*standard deviation = 0.057334 with N = 304 MeanA = 0.48525 2*standard deviation = 0.057235 with N = 305 MeanA = 0.48693 2*standard deviation = 0.057147 with N = 306 MeanA = 0.48534 2*standard deviation = 0.057048 with N = 307 MeanA = 0.48701 2*standard deviation = 0.056961 with N = 308 MeanA = 0.48544 2*standard deviation = 0.056864 with N = 309 MeanA = 0.48387 2*standard deviation = 0.056767 with N = 310 MeanA = 0.48232 2*standard deviation = 0.056669 with N = 311 MeanA = 0.48077 2*standard deviation = 0.056572 with N = 312 MeanA = 0.48243 2*standard deviation = 0.056488 with N = 313 MeanA = 0.48408 2*standard deviation = 0.056405 with N = 314 MeanA = 0.48254 2*standard deviation = 0.056309 with N = 315 MeanA = 0.48418 2*standard deviation = 0.056226 with N = 316 MeanA = 0.4858 2*standard deviation = 0.056143 with N = 317 MeanA = 0.48428 2*standard deviation = 0.056049 with N = 318 MeanA = 0.48589 2*standard deviation = 0.055967 with N = 319 MeanA = 0.4875 2*standard deviation = 0.055884 with N = 320 MeanA = 0.4891 2*standard deviation = 0.055801 with N = 321 MeanA = 0.49068 2*standard deviation = 0.055718 with N = 322 MeanA = 0.48916 2*standard deviation = 0.055628 with N = 323 MeanA = 0.48765 2*standard deviation = 0.055539 with N = 324 MeanA = 0.48615 2*standard deviation = 0.055449 with N = 325 MeanA = 0.48466 2*standard deviation = 0.055359 with N = 326 MeanA = 0.48318 2*standard deviation = 0.055269 with N = 327 MeanA = 0.48476 2*standard deviation = 0.05519 with N = 328 MeanA = 0.48328 2*standard deviation = 0.055101 with N = 329 MeanA = 0.48182 2*standard deviation = 0.055012 with N = 330 MeanA = 0.48338 2*standard deviation = 0.054935 with N = 331 MeanA = 0.48494 2*standard deviation = 0.054857 with N = 332 MeanA = 0.48348 2*standard deviation = 0.05477 with N = 333 MeanA = 0.48503 2*standard deviation = 0.054693 with N = 334 MeanA = 0.48358 2*standard deviation = 0.054606 with N = 335 MeanA = 0.48214 2*standard deviation = 0.05452 with N = 336 MeanA = 0.48071 2*standard deviation = 0.054433 with N = 337 MeanA = 0.48225 2*standard deviation = 0.054359 with N = 338 MeanA = 0.48083 2*standard deviation = 0.054273 with N = 339 MeanA = 0.48235 2*standard deviation = 0.054199 with N = 340 MeanA = 0.48094 2*standard deviation = 0.054114 with N = 341 MeanA = 0.47953 2*standard deviation = 0.054028 with N = 342 MeanA = 0.47813 2*standard deviation = 0.053943 with N = 343 MeanA = 0.47674 2*standard deviation = 0.053858 with N = 344 MeanA = 0.47826 2*standard deviation = 0.053787 with N = 345 MeanA = 0.47977 2*standard deviation = 0.053716 with N = 346 MeanA = 0.47839 2*standard deviation = 0.053633 with N = 347 MeanA = 0.47989 2*standard deviation = 0.053562 with N = 348 MeanA = 0.47851 2*standard deviation = 0.053479 with N = 349 MeanA = 0.47714 2*standard deviation = 0.053396 with N = 350 MeanA = 0.47578 2*standard deviation = 0.053313 with N = 351 MeanA = 0.47443 2*standard deviation = 0.05323 with N = 352 MeanA = 0.47592 2*standard deviation = 0.053163 with N = 353 MeanA = 0.4774 2*standard deviation = 0.053095 with N = 354 MeanA = 0.47606 2*standard deviation = 0.053014 with N = 355 MeanA = 0.47472 2*standard deviation = 0.052932 with N = 356 MeanA = 0.47619 2*standard deviation = 0.052866 with N = 357 MeanA = 0.47486 2*standard deviation = 0.052785 with N = 358 MeanA = 0.47354 2*standard deviation = 0.052704 with N = 359 MeanA = 0.47222 2*standard deviation = 0.052623 with N = 360 MeanA = 0.47091 2*standard deviation = 0.052542 with N = 361 MeanA = 0.46961 2*standard deviation = 0.052462 with N = 362 MeanA = 0.46832 2*standard deviation = 0.052381 with N = 363 MeanA = 0.46978 2*standard deviation = 0.052318 with N = 364 MeanA = 0.47123 2*standard deviation = 0.052256 with N = 365 MeanA = 0.46995 2*standard deviation = 0.052176 with N = 366 MeanA = 0.47139 2*standard deviation = 0.052114 with N = 367 MeanA = 0.47011 2*standard deviation = 0.052035 with N = 368 MeanA = 0.47154 2*standard deviation = 0.051974 with N = 369 MeanA = 0.47027 2*standard deviation = 0.051896 with N = 370 MeanA = 0.469 2*standard deviation = 0.051818 with N = 371 MeanA = 0.47043 2*standard deviation = 0.051757 with N = 372 MeanA = 0.46917 2*standard deviation = 0.05168 with N = 373 MeanA = 0.47059 2*standard deviation = 0.051619 with N = 374 MeanA = 0.46933 2*standard deviation = 0.051543 with N = 375 MeanA = 0.47074 2*standard deviation = 0.051483 with N = 376 MeanA = 0.4695 2*standard deviation = 0.051407 with N = 377 MeanA = 0.46825 2*standard deviation = 0.051331 with N = 378 MeanA = 0.46966 2*standard deviation = 0.051272 with N = 379 MeanA = 0.46842 2*standard deviation = 0.051197 with N = 380 MeanA = 0.46982 2*standard deviation = 0.051138 with N = 381 MeanA = 0.4712 2*standard deviation = 0.05108 with N = 382 MeanA = 0.47258 2*standard deviation = 0.051021 with N = 383 MeanA = 0.47135 2*standard deviation = 0.050947 with N = 384 MeanA = 0.47273 2*standard deviation = 0.050889 with N = 385 MeanA = 0.47409 2*standard deviation = 0.05083 with N = 386 MeanA = 0.47545 2*standard deviation = 0.050772 with N = 387 MeanA = 0.47423 2*standard deviation = 0.0507 with N = 388 MeanA = 0.47301 2*standard deviation = 0.050628 with N = 389 MeanA = 0.47179 2*standard deviation = 0.050556 with N = 390 MeanA = 0.47059 2*standard deviation = 0.050485 with N = 391 MeanA = 0.47194 2*standard deviation = 0.050428 with N = 392 MeanA = 0.47328 2*standard deviation = 0.050371 with N = 393 MeanA = 0.47208 2*standard deviation = 0.050301 with N = 394 MeanA = 0.47342 2*standard deviation = 0.050244 with N = 395 MeanA = 0.47222 2*standard deviation = 0.050174 with N = 396 MeanA = 0.47103 2*standard deviation = 0.050104 with N = 397 MeanA = 0.46985 2*standard deviation = 0.050034 with N = 398 MeanA = 0.47118 2*standard deviation = 0.049979 with N = 399 MeanA = 0.4725 2*standard deviation = 0.049924 with N = 400 MeanA = 0.47132 2*standard deviation = 0.049855 with N = 401 MeanA = 0.47015 2*standard deviation = 0.049787 with N = 402 MeanA = 0.47146 2*standard deviation = 0.049732 with N = 403 MeanA = 0.4703 2*standard deviation = 0.049664 with N = 404 MeanA = 0.4716 2*standard deviation = 0.04961 with N = 405 MeanA = 0.47291 2*standard deviation = 0.049556 with N = 406 MeanA = 0.4742 2*standard deviation = 0.049502 with N = 407 MeanA = 0.47304 2*standard deviation = 0.049435 with N = 408 MeanA = 0.47188 2*standard deviation = 0.049369 with N = 409 MeanA = 0.47073 2*standard deviation = 0.049302 with N = 410 MeanA = 0.47202 2*standard deviation = 0.049249 with N = 411 MeanA = 0.4733 2*standard deviation = 0.049196 with N = 412 MeanA = 0.47215 2*standard deviation = 0.04913 with N = 413 MeanA = 0.47343 2*standard deviation = 0.049078 with N = 414 MeanA = 0.47229 2*standard deviation = 0.049013 with N = 415 MeanA = 0.47356 2*standard deviation = 0.04896 with N = 416 MeanA = 0.47242 2*standard deviation = 0.048896 with N = 417 MeanA = 0.47129 2*standard deviation = 0.048831 with N = 418 MeanA = 0.47255 2*standard deviation = 0.04878 with N = 419 MeanA = 0.47143 2*standard deviation = 0.048715 with N = 420 MeanA = 0.47031 2*standard deviation = 0.048651 with N = 421 MeanA = 0.47156 2*standard deviation = 0.0486 with N = 422 MeanA = 0.47281 2*standard deviation = 0.04855 with N = 423 MeanA = 0.4717 2*standard deviation = 0.048486 with N = 424 MeanA = 0.47059 2*standard deviation = 0.048423 with N = 425 MeanA = 0.47183 2*standard deviation = 0.048373 with N = 426 MeanA = 0.47073 2*standard deviation = 0.04831 with N = 427 MeanA = 0.46963 2*standard deviation = 0.048248 with N = 428 MeanA = 0.47086 2*standard deviation = 0.048198 with N = 429 MeanA = 0.46977 2*standard deviation = 0.048136 with N = 430 MeanA = 0.46868 2*standard deviation = 0.048074 with N = 431 MeanA = 0.46759 2*standard deviation = 0.048011 with N = 432 MeanA = 0.46882 2*standard deviation = 0.047963 with N = 433 MeanA = 0.47005 2*standard deviation = 0.047915 with N = 434 MeanA = 0.47126 2*standard deviation = 0.047867 with N = 435 MeanA = 0.47248 2*standard deviation = 0.047819 with N = 436 MeanA = 0.47368 2*standard deviation = 0.04777 with N = 437 MeanA = 0.47489 2*standard deviation = 0.047722 with N = 438 MeanA = 0.47608 2*standard deviation = 0.047673 with N = 439 MeanA = 0.475 2*standard deviation = 0.047614 with N = 440 MeanA = 0.47619 2*standard deviation = 0.047565 with N = 441 MeanA = 0.47738 2*standard deviation = 0.047516 with N = 442 MeanA = 0.47856 2*standard deviation = 0.047468 with N = 443 MeanA = 0.47973 2*standard deviation = 0.047419 with N = 444 MeanA = 0.47865 2*standard deviation = 0.047361 with N = 445 MeanA = 0.47982 2*standard deviation = 0.047313 with N = 446 MeanA = 0.47875 2*standard deviation = 0.047256 with N = 447 MeanA = 0.47768 2*standard deviation = 0.047198 with N = 448 MeanA = 0.47884 2*standard deviation = 0.047151 with N = 449 MeanA = 0.48 2*standard deviation = 0.047103 with N = 450 MeanA = 0.47894 2*standard deviation = 0.047046 with N = 451 MeanA = 0.47788 2*standard deviation = 0.04699 with N = 452 MeanA = 0.47903 2*standard deviation = 0.046943 with N = 453 MeanA = 0.48018 2*standard deviation = 0.046895 with N = 454 MeanA = 0.47912 2*standard deviation = 0.04684 with N = 455 MeanA = 0.48026 2*standard deviation = 0.046793 with N = 456 MeanA = 0.4814 2*standard deviation = 0.046746 with N = 457 MeanA = 0.48253 2*standard deviation = 0.046698 with N = 458 MeanA = 0.48366 2*standard deviation = 0.046651 with N = 459 MeanA = 0.48261 2*standard deviation = 0.046597 with N = 460 MeanA = 0.48156 2*standard deviation = 0.046543 with N = 461 MeanA = 0.48268 2*standard deviation = 0.046496 with N = 462 MeanA = 0.48164 2*standard deviation = 0.046443 with N = 463 MeanA = 0.4806 2*standard deviation = 0.046389 with N = 464 MeanA = 0.48172 2*standard deviation = 0.046343 with N = 465 MeanA = 0.48283 2*standard deviation = 0.046297 with N = 466 MeanA = 0.48394 2*standard deviation = 0.046251 with N = 467 MeanA = 0.48504 2*standard deviation = 0.046204 with N = 468 MeanA = 0.48614 2*standard deviation = 0.046158 with N = 469 MeanA = 0.48511 2*standard deviation = 0.046106 with N = 470 MeanA = 0.4862 2*standard deviation = 0.04606 with N = 471 MeanA = 0.48729 2*standard deviation = 0.046014 with N = 472 MeanA = 0.48837 2*standard deviation = 0.045968 with N = 473 MeanA = 0.48945 2*standard deviation = 0.045921 with N = 474 MeanA = 0.48842 2*standard deviation = 0.045871 with N = 475 MeanA = 0.48739 2*standard deviation = 0.04582 with N = 476 MeanA = 0.48847 2*standard deviation = 0.045775 with N = 477 MeanA = 0.48745 2*standard deviation = 0.045725 with N = 478 MeanA = 0.48852 2*standard deviation = 0.045679 with N = 479 MeanA = 0.4875 2*standard deviation = 0.045629 with N = 480 MeanA = 0.48857 2*standard deviation = 0.045584 with N = 481 MeanA = 0.48755 2*standard deviation = 0.045535 with N = 482 MeanA = 0.48861 2*standard deviation = 0.04549 with N = 483 MeanA = 0.4876 2*standard deviation = 0.045441 with N = 484 MeanA = 0.4866 2*standard deviation = 0.045391 with N = 485 MeanA = 0.48765 2*standard deviation = 0.045347 with N = 486 MeanA = 0.48665 2*standard deviation = 0.045298 with N = 487 MeanA = 0.4877 2*standard deviation = 0.045254 with N = 488 MeanA = 0.48875 2*standard deviation = 0.04521 with N = 489 MeanA = 0.4898 2*standard deviation = 0.045166 with N = 490 MeanA = 0.4888 2*standard deviation = 0.045118 with N = 491 MeanA = 0.48984 2*standard deviation = 0.045074 with N = 492 MeanA = 0.48884 2*standard deviation = 0.045027 with N = 493 MeanA = 0.48785 2*standard deviation = 0.044979 with N = 494 MeanA = 0.48687 2*standard deviation = 0.044931 with N = 495 MeanA = 0.48589 2*standard deviation = 0.044883 with N = 496 MeanA = 0.48491 2*standard deviation = 0.044836 with N = 497 MeanA = 0.48394 2*standard deviation = 0.044788 with N = 498 MeanA = 0.48497 2*standard deviation = 0.044746 with N = 499 MeanA = 0.486 2*standard deviation = 0.044704 with N = 500 MeanA = 0.48503 2*standard deviation = 0.044657 with N = 501 MeanA = 0.48406 2*standard deviation = 0.04461 with N = 502 MeanA = 0.4831 2*standard deviation = 0.044562 with N = 503 MeanA = 0.48413 2*standard deviation = 0.044521 with N = 504 MeanA = 0.48317 2*standard deviation = 0.044474 with N = 505 MeanA = 0.48419 2*standard deviation = 0.044433 with N = 506 MeanA = 0.48323 2*standard deviation = 0.044387 with N = 507 MeanA = 0.48228 2*standard deviation = 0.04434 with N = 508 MeanA = 0.4833 2*standard deviation = 0.044299 with N = 509 MeanA = 0.48235 2*standard deviation = 0.044253 with N = 510 MeanA = 0.48337 2*standard deviation = 0.044213 with N = 511 MeanA = 0.48242 2*standard deviation = 0.044167 with N = 512 MeanA = 0.48343 2*standard deviation = 0.044127 with N = 513 MeanA = 0.48249 2*standard deviation = 0.044081 with N = 514 MeanA = 0.48155 2*standard deviation = 0.044035 with N = 515 MeanA = 0.48062 2*standard deviation = 0.043989 with N = 516 MeanA = 0.48162 2*standard deviation = 0.04395 with N = 517 MeanA = 0.48069 2*standard deviation = 0.043905 with N = 518 MeanA = 0.4817 2*standard deviation = 0.043866 with N = 519 MeanA = 0.48077 2*standard deviation = 0.04382 with N = 520 MeanA = 0.48177 2*standard deviation = 0.043782 with N = 521 MeanA = 0.48276 2*standard deviation = 0.043743 with N = 522 MeanA = 0.48375 2*standard deviation = 0.043704 with N = 523 MeanA = 0.48473 2*standard deviation = 0.043665 with N = 524 MeanA = 0.48571 2*standard deviation = 0.043626 with N = 525 MeanA = 0.48669 2*standard deviation = 0.043587 with N = 526 MeanA = 0.48577 2*standard deviation = 0.043543 with N = 527 MeanA = 0.48485 2*standard deviation = 0.043499 with N = 528 MeanA = 0.48393 2*standard deviation = 0.043456 with N = 529 MeanA = 0.48491 2*standard deviation = 0.043417 with N = 530 MeanA = 0.48588 2*standard deviation = 0.043379 with N = 531 MeanA = 0.48496 2*standard deviation = 0.043336 with N = 532 MeanA = 0.48405 2*standard deviation = 0.043293 with N = 533 MeanA = 0.48315 2*standard deviation = 0.04325 with N = 534 MeanA = 0.48411 2*standard deviation = 0.043212 with N = 535 MeanA = 0.48507 2*standard deviation = 0.043174 with N = 536 MeanA = 0.48417 2*standard deviation = 0.043132 with N = 537 MeanA = 0.48513 2*standard deviation = 0.043094 with N = 538 MeanA = 0.48423 2*standard deviation = 0.043052 with N = 539 MeanA = 0.48519 2*standard deviation = 0.043014 with N = 540 MeanA = 0.48429 2*standard deviation = 0.042972 with N = 541 MeanA = 0.48339 2*standard deviation = 0.04293 with N = 542 MeanA = 0.4825 2*standard deviation = 0.042888 with N = 543 MeanA = 0.48346 2*standard deviation = 0.042851 with N = 544 MeanA = 0.4844 2*standard deviation = 0.042814 with N = 545 MeanA = 0.48535 2*standard deviation = 0.042778 with N = 546 MeanA = 0.48446 2*standard deviation = 0.042736 with N = 547 MeanA = 0.48358 2*standard deviation = 0.042695 with N = 548 MeanA = 0.48452 2*standard deviation = 0.042658 with N = 549 MeanA = 0.48364 2*standard deviation = 0.042617 with N = 550 MeanA = 0.48457 2*standard deviation = 0.042581 with N = 551 MeanA = 0.48551 2*standard deviation = 0.042545 with N = 552 MeanA = 0.48463 2*standard deviation = 0.042504 with N = 553 MeanA = 0.48375 2*standard deviation = 0.042463 with N = 554 MeanA = 0.48468 2*standard deviation = 0.042428 with N = 555 MeanA = 0.48381 2*standard deviation = 0.042387 with N = 556 MeanA = 0.48474 2*standard deviation = 0.042352 with N = 557 MeanA = 0.48566 2*standard deviation = 0.042316 with N = 558 MeanA = 0.48479 2*standard deviation = 0.042276 with N = 559 MeanA = 0.48393 2*standard deviation = 0.042236 with N = 560 MeanA = 0.48307 2*standard deviation = 0.042196 with N = 561 MeanA = 0.48221 2*standard deviation = 0.042156 with N = 562 MeanA = 0.48313 2*standard deviation = 0.042121 with N = 563 MeanA = 0.48227 2*standard deviation = 0.042081 with N = 564 MeanA = 0.48142 2*standard deviation = 0.042041 with N = 565 MeanA = 0.48233 2*standard deviation = 0.042007 with N = 566 MeanA = 0.48148 2*standard deviation = 0.041967 with N = 567 MeanA = 0.48063 2*standard deviation = 0.041928 with N = 568 MeanA = 0.48155 2*standard deviation = 0.041894 with N = 569 MeanA = 0.4807 2*standard deviation = 0.041854 with N = 570 MeanA = 0.48161 2*standard deviation = 0.04182 with N = 571 MeanA = 0.48077 2*standard deviation = 0.041781 with N = 572 MeanA = 0.48168 2*standard deviation = 0.041748 with N = 573 MeanA = 0.48258 2*standard deviation = 0.041714 with N = 574 MeanA = 0.48348 2*standard deviation = 0.04168 with N = 575 MeanA = 0.48264 2*standard deviation = 0.041642 with N = 576 MeanA = 0.48354 2*standard deviation = 0.041608 with N = 577 MeanA = 0.4827 2*standard deviation = 0.04157 with N = 578 MeanA = 0.48359 2*standard deviation = 0.041536 with N = 579 MeanA = 0.48276 2*standard deviation = 0.041498 with N = 580 MeanA = 0.48193 2*standard deviation = 0.04146 with N = 581 MeanA = 0.4811 2*standard deviation = 0.041422 with N = 582 MeanA = 0.48199 2*standard deviation = 0.041389 with N = 583 MeanA = 0.48116 2*standard deviation = 0.041351 with N = 584 MeanA = 0.48205 2*standard deviation = 0.041318 with N = 585 MeanA = 0.48123 2*standard deviation = 0.04128 with N = 586 MeanA = 0.48041 2*standard deviation = 0.041243 with N = 587 MeanA = 0.48129 2*standard deviation = 0.04121 with N = 588 MeanA = 0.48048 2*standard deviation = 0.041173 with N = 589 MeanA = 0.48136 2*standard deviation = 0.041141 with N = 590 MeanA = 0.48223 2*standard deviation = 0.041109 with N = 591 MeanA = 0.48142 2*standard deviation = 0.041071 with N = 592 MeanA = 0.48229 2*standard deviation = 0.041039 with N = 593 MeanA = 0.48148 2*standard deviation = 0.041002 with N = 594 MeanA = 0.48067 2*standard deviation = 0.040965 with N = 595 MeanA = 0.47987 2*standard deviation = 0.040928 with N = 596 MeanA = 0.48074 2*standard deviation = 0.040897 with N = 597 MeanA = 0.47993 2*standard deviation = 0.04086 with N = 598 MeanA = 0.47913 2*standard deviation = 0.040823 with N = 599 MeanA = 0.48 2*standard deviation = 0.040792 with N = 600 MeanA = 0.48087 2*standard deviation = 0.040761 with N = 601 MeanA = 0.48173 2*standard deviation = 0.04073 with N = 602 MeanA = 0.48259 2*standard deviation = 0.040698 with N = 603 MeanA = 0.48179 2*standard deviation = 0.040662 with N = 604 MeanA = 0.48099 2*standard deviation = 0.040626 with N = 605 MeanA = 0.4802 2*standard deviation = 0.04059 with N = 606 MeanA = 0.48105 2*standard deviation = 0.04056 with N = 607 MeanA = 0.48026 2*standard deviation = 0.040524 with N = 608 MeanA = 0.48112 2*standard deviation = 0.040493 with N = 609 MeanA = 0.48033 2*standard deviation = 0.040457 with N = 610 MeanA = 0.48118 2*standard deviation = 0.040427 with N = 611 MeanA = 0.48203 2*standard deviation = 0.040396 with N = 612 MeanA = 0.48287 2*standard deviation = 0.040366 with N = 613 MeanA = 0.48371 2*standard deviation = 0.040335 with N = 614 MeanA = 0.48293 2*standard deviation = 0.0403 with N = 615 MeanA = 0.48214 2*standard deviation = 0.040265 with N = 616 MeanA = 0.48298 2*standard deviation = 0.040235 with N = 617 MeanA = 0.48382 2*standard deviation = 0.040205 with N = 618 MeanA = 0.48465 2*standard deviation = 0.040174 with N = 619 MeanA = 0.48548 2*standard deviation = 0.040144 with N = 620 MeanA = 0.4847 2*standard deviation = 0.04011 with N = 621 MeanA = 0.48553 2*standard deviation = 0.04008 with N = 622 MeanA = 0.48636 2*standard deviation = 0.040049 with N = 623 MeanA = 0.48718 2*standard deviation = 0.040019 with N = 624 MeanA = 0.488 2*standard deviation = 0.039988 with N = 625 MeanA = 0.48882 2*standard deviation = 0.039958 with N = 626 MeanA = 0.48804 2*standard deviation = 0.039925 with N = 627 MeanA = 0.48885 2*standard deviation = 0.039894 with N = 628 MeanA = 0.48967 2*standard deviation = 0.039864 with N = 629 MeanA = 0.49048 2*standard deviation = 0.039834 with N = 630 MeanA = 0.4897 2*standard deviation = 0.039801 with N = 631 MeanA = 0.48892 2*standard deviation = 0.039768 with N = 632 MeanA = 0.48973 2*standard deviation = 0.039738 with N = 633 MeanA = 0.48896 2*standard deviation = 0.039705 with N = 634 MeanA = 0.48819 2*standard deviation = 0.039673 with N = 635 MeanA = 0.48899 2*standard deviation = 0.039643 with N = 636 MeanA = 0.48823 2*standard deviation = 0.03961 with N = 637 MeanA = 0.48746 2*standard deviation = 0.039578 with N = 638 MeanA = 0.4867 2*standard deviation = 0.039545 with N = 639 MeanA = 0.48594 2*standard deviation = 0.039513 with N = 640 MeanA = 0.48674 2*standard deviation = 0.039484 with N = 641 MeanA = 0.48754 2*standard deviation = 0.039455 with N = 642 MeanA = 0.48678 2*standard deviation = 0.039422 with N = 643 MeanA = 0.48602 2*standard deviation = 0.03939 with N = 644 MeanA = 0.48527 2*standard deviation = 0.039358 with N = 645 MeanA = 0.48452 2*standard deviation = 0.039326 with N = 646 MeanA = 0.48532 2*standard deviation = 0.039297 with N = 647 MeanA = 0.48611 2*standard deviation = 0.039269 with N = 648 MeanA = 0.4869 2*standard deviation = 0.03924 with N = 649 MeanA = 0.48769 2*standard deviation = 0.039211 with N = 650 MeanA = 0.48848 2*standard deviation = 0.039183 with N = 651 MeanA = 0.48926 2*standard deviation = 0.039154 with N = 652 MeanA = 0.49005 2*standard deviation = 0.039125 with N = 653 MeanA = 0.49083 2*standard deviation = 0.039097 with N = 654 MeanA = 0.49008 2*standard deviation = 0.039066 with N = 655 MeanA = 0.48933 2*standard deviation = 0.039035 with N = 656 MeanA = 0.48858 2*standard deviation = 0.039004 with N = 657 MeanA = 0.48936 2*standard deviation = 0.038975 with N = 658 MeanA = 0.48862 2*standard deviation = 0.038944 with N = 659 MeanA = 0.48788 2*standard deviation = 0.038914 with N = 660 MeanA = 0.48714 2*standard deviation = 0.038883 with N = 661 MeanA = 0.4864 2*standard deviation = 0.038852 with N = 662 MeanA = 0.48718 2*standard deviation = 0.038824 with N = 663 MeanA = 0.48645 2*standard deviation = 0.038793 with N = 664 MeanA = 0.48571 2*standard deviation = 0.038763 with N = 665 MeanA = 0.48649 2*standard deviation = 0.038735 with N = 666 MeanA = 0.48726 2*standard deviation = 0.038708 with N = 667 MeanA = 0.48653 2*standard deviation = 0.038677 with N = 668 MeanA = 0.4858 2*standard deviation = 0.038647 with N = 669 MeanA = 0.48507 2*standard deviation = 0.038616 with N = 670 MeanA = 0.48435 2*standard deviation = 0.038586 with N = 671 MeanA = 0.48512 2*standard deviation = 0.038559 with N = 672 MeanA = 0.48588 2*standard deviation = 0.038532 with N = 673 MeanA = 0.48665 2*standard deviation = 0.038505 with N = 674 MeanA = 0.48593 2*standard deviation = 0.038475 with N = 675 MeanA = 0.48521 2*standard deviation = 0.038445 with N = 676 MeanA = 0.48597 2*standard deviation = 0.038418 with N = 677 MeanA = 0.48673 2*standard deviation = 0.038391 with N = 678 MeanA = 0.48748 2*standard deviation = 0.038364 with N = 679 MeanA = 0.48824 2*standard deviation = 0.038338 with N = 680 MeanA = 0.48752 2*standard deviation = 0.038308 with N = 681 MeanA = 0.48827 2*standard deviation = 0.038281 with N = 682 MeanA = 0.48755 2*standard deviation = 0.038252 with N = 683 MeanA = 0.48684 2*standard deviation = 0.038223 with N = 684 MeanA = 0.48613 2*standard deviation = 0.038193 with N = 685 MeanA = 0.48688 2*standard deviation = 0.038167 with N = 686 MeanA = 0.48617 2*standard deviation = 0.038138 with N = 687 MeanA = 0.48692 2*standard deviation = 0.038112 with N = 688 MeanA = 0.48621 2*standard deviation = 0.038082 with N = 689 MeanA = 0.48551 2*standard deviation = 0.038053 with N = 690 MeanA = 0.4848 2*standard deviation = 0.038024 with N = 691 MeanA = 0.48555 2*standard deviation = 0.037998 with N = 692 MeanA = 0.48485 2*standard deviation = 0.037969 with N = 693 MeanA = 0.48415 2*standard deviation = 0.03794 with N = 694 MeanA = 0.48345 2*standard deviation = 0.037911 with N = 695 MeanA = 0.4842 2*standard deviation = 0.037886 with N = 696 MeanA = 0.48494 2*standard deviation = 0.037861 with N = 697 MeanA = 0.48424 2*standard deviation = 0.037832 with N = 698 MeanA = 0.48498 2*standard deviation = 0.037806 with N = 699 MeanA = 0.48429 2*standard deviation = 0.037778 with N = 700 MeanA = 0.48359 2*standard deviation = 0.037749 with N = 701 MeanA = 0.48291 2*standard deviation = 0.037721 with N = 702 MeanA = 0.48222 2*standard deviation = 0.037692 with N = 703 MeanA = 0.48153 2*standard deviation = 0.037663 with N = 704 MeanA = 0.48085 2*standard deviation = 0.037635 with N = 705 MeanA = 0.48159 2*standard deviation = 0.03761 with N = 706 MeanA = 0.48232 2*standard deviation = 0.037585 with N = 707 MeanA = 0.48305 2*standard deviation = 0.037561 with N = 708 MeanA = 0.48378 2*standard deviation = 0.037536 with N = 709 MeanA = 0.48451 2*standard deviation = 0.037511 with N = 710 MeanA = 0.48523 2*standard deviation = 0.037487 with N = 711 MeanA = 0.48455 2*standard deviation = 0.037459 with N = 712 MeanA = 0.48387 2*standard deviation = 0.037431 with N = 713 MeanA = 0.48459 2*standard deviation = 0.037406 with N = 714 MeanA = 0.48392 2*standard deviation = 0.037379 with N = 715 MeanA = 0.48464 2*standard deviation = 0.037354 with N = 716 MeanA = 0.48536 2*standard deviation = 0.03733 with N = 717 MeanA = 0.48607 2*standard deviation = 0.037305 with N = 718 MeanA = 0.4854 2*standard deviation = 0.037278 with N = 719 MeanA = 0.48472 2*standard deviation = 0.03725 with N = 720 MeanA = 0.48544 2*standard deviation = 0.037226 with N = 721 MeanA = 0.48476 2*standard deviation = 0.037199 with N = 722 MeanA = 0.48548 2*standard deviation = 0.037175 with N = 723 MeanA = 0.48481 2*standard deviation = 0.037148 with N = 724 MeanA = 0.48414 2*standard deviation = 0.03712 with N = 725 MeanA = 0.48347 2*standard deviation = 0.037093 with N = 726 MeanA = 0.48418 2*standard deviation = 0.037069 with N = 727 MeanA = 0.48352 2*standard deviation = 0.037042 with N = 728 MeanA = 0.48422 2*standard deviation = 0.037019 with N = 729 MeanA = 0.48356 2*standard deviation = 0.036992 with N = 730 MeanA = 0.4829 2*standard deviation = 0.036965 with N = 731 MeanA = 0.48224 2*standard deviation = 0.036938 with N = 732 MeanA = 0.48158 2*standard deviation = 0.036911 with N = 733 MeanA = 0.48229 2*standard deviation = 0.036888 with N = 734 MeanA = 0.48299 2*standard deviation = 0.036864 with N = 735 MeanA = 0.4837 2*standard deviation = 0.036841 with N = 736 MeanA = 0.4844 2*standard deviation = 0.036818 with N = 737 MeanA = 0.48509 2*standard deviation = 0.036794 with N = 738 MeanA = 0.48579 2*standard deviation = 0.036771 with N = 739 MeanA = 0.48649 2*standard deviation = 0.036747 with N = 740 MeanA = 0.48583 2*standard deviation = 0.036721 with N = 741 MeanA = 0.48652 2*standard deviation = 0.036698 with N = 742 MeanA = 0.48587 2*standard deviation = 0.036672 with N = 743 MeanA = 0.48522 2*standard deviation = 0.036646 with N = 744 MeanA = 0.48456 2*standard deviation = 0.03662 with N = 745 MeanA = 0.48525 2*standard deviation = 0.036597 with N = 746 MeanA = 0.48594 2*standard deviation = 0.036574 with N = 747 MeanA = 0.48529 2*standard deviation = 0.036548 with N = 748 MeanA = 0.48465 2*standard deviation = 0.036522 with N = 749 MeanA = 0.484 2*standard deviation = 0.036496 with N = 750 MeanA = 0.48469 2*standard deviation = 0.036473 with N = 751 MeanA = 0.48537 2*standard deviation = 0.036451 with N = 752 MeanA = 0.48473 2*standard deviation = 0.036425 with N = 753 MeanA = 0.48408 2*standard deviation = 0.036399 with N = 754 MeanA = 0.48477 2*standard deviation = 0.036377 with N = 755 MeanA = 0.48545 2*standard deviation = 0.036354 with N = 756 MeanA = 0.48613 2*standard deviation = 0.036332 with N = 757 MeanA = 0.48681 2*standard deviation = 0.036309 with N = 758 MeanA = 0.48748 2*standard deviation = 0.036286 with N = 759 MeanA = 0.48684 2*standard deviation = 0.036261 with N = 760 MeanA = 0.4862 2*standard deviation = 0.036236 with N = 761 MeanA = 0.48556 2*standard deviation = 0.036211 with N = 762 MeanA = 0.48624 2*standard deviation = 0.036189 with N = 763 MeanA = 0.48691 2*standard deviation = 0.036166 with N = 764 MeanA = 0.48627 2*standard deviation = 0.036141 with N = 765 MeanA = 0.48695 2*standard deviation = 0.036119 with N = 766 MeanA = 0.48631 2*standard deviation = 0.036094 with N = 767 MeanA = 0.48568 2*standard deviation = 0.03607 with N = 768 MeanA = 0.48505 2*standard deviation = 0.036045 with N = 769 MeanA = 0.48571 2*standard deviation = 0.036023 with N = 770 MeanA = 0.48638 2*standard deviation = 0.036001 with N = 771 MeanA = 0.48705 2*standard deviation = 0.035979 with N = 772 MeanA = 0.48771 2*standard deviation = 0.035957 with N = 773 MeanA = 0.48708 2*standard deviation = 0.035932 with N = 774 MeanA = 0.48645 2*standard deviation = 0.035908 with N = 775 MeanA = 0.48582 2*standard deviation = 0.035883 with N = 776 MeanA = 0.48649 2*standard deviation = 0.035862 with N = 777 MeanA = 0.48586 2*standard deviation = 0.035837 with N = 778 MeanA = 0.48652 2*standard deviation = 0.035816 with N = 779 MeanA = 0.4859 2*standard deviation = 0.035791 with N = 780 MeanA = 0.48528 2*standard deviation = 0.035767 with N = 781 MeanA = 0.48465 2*standard deviation = 0.035743 with N = 782 MeanA = 0.48531 2*standard deviation = 0.035722 with N = 783 MeanA = 0.48469 2*standard deviation = 0.035698 with N = 784 MeanA = 0.48535 2*standard deviation = 0.035676 with N = 785 MeanA = 0.48473 2*standard deviation = 0.035652 with N = 786 MeanA = 0.48539 2*standard deviation = 0.035631 with N = 787 MeanA = 0.48477 2*standard deviation = 0.035607 with N = 788 MeanA = 0.48416 2*standard deviation = 0.035583 with N = 789 MeanA = 0.48354 2*standard deviation = 0.035559 with N = 790 MeanA = 0.48293 2*standard deviation = 0.035535 with N = 791 MeanA = 0.48232 2*standard deviation = 0.035511 with N = 792 MeanA = 0.48298 2*standard deviation = 0.03549 with N = 793 MeanA = 0.48363 2*standard deviation = 0.03547 with N = 794 MeanA = 0.48428 2*standard deviation = 0.035449 with N = 795 MeanA = 0.48492 2*standard deviation = 0.035428 with N = 796 MeanA = 0.48432 2*standard deviation = 0.035404 with N = 797 MeanA = 0.48496 2*standard deviation = 0.035384 with N = 798 MeanA = 0.48561 2*standard deviation = 0.035363 with N = 799 MeanA = 0.48625 2*standard deviation = 0.035342 with N = 800 MeanA = 0.48564 2*standard deviation = 0.035319 with N = 801 MeanA = 0.48628 2*standard deviation = 0.035298 with N = 802 MeanA = 0.48568 2*standard deviation = 0.035275 with N = 803 MeanA = 0.48507 2*standard deviation = 0.035252 with N = 804 MeanA = 0.48447 2*standard deviation = 0.035228 with N = 805 MeanA = 0.48387 2*standard deviation = 0.035205 with N = 806 MeanA = 0.48451 2*standard deviation = 0.035185 with N = 807 MeanA = 0.48515 2*standard deviation = 0.035164 with N = 808 MeanA = 0.48455 2*standard deviation = 0.035141 with N = 809 MeanA = 0.48519 2*standard deviation = 0.035121 with N = 810 MeanA = 0.48582 2*standard deviation = 0.035101 with N = 811 MeanA = 0.48645 2*standard deviation = 0.03508 with N = 812 MeanA = 0.48585 2*standard deviation = 0.035057 with N = 813 MeanA = 0.48649 2*standard deviation = 0.035037 with N = 814 MeanA = 0.48589 2*standard deviation = 0.035015 with N = 815 MeanA = 0.48529 2*standard deviation = 0.034992 with N = 816 MeanA = 0.48592 2*standard deviation = 0.034972 with N = 817 MeanA = 0.48655 2*standard deviation = 0.034952 with N = 818 MeanA = 0.48596 2*standard deviation = 0.034929 with N = 819 MeanA = 0.48537 2*standard deviation = 0.034907 with N = 820 MeanA = 0.48477 2*standard deviation = 0.034884 with N = 821 MeanA = 0.4854 2*standard deviation = 0.034864 with N = 822 MeanA = 0.48481 2*standard deviation = 0.034842 with N = 823 MeanA = 0.48544 2*standard deviation = 0.034822 with N = 824 MeanA = 0.48485 2*standard deviation = 0.0348 with N = 825 MeanA = 0.48426 2*standard deviation = 0.034777 with N = 826 MeanA = 0.48368 2*standard deviation = 0.034755 with N = 827 MeanA = 0.48309 2*standard deviation = 0.034733 with N = 828 MeanA = 0.48251 2*standard deviation = 0.03471 with N = 829 MeanA = 0.48313 2*standard deviation = 0.034691 with N = 830 MeanA = 0.48375 2*standard deviation = 0.034671 with N = 831 MeanA = 0.48438 2*standard deviation = 0.034652 with N = 832 MeanA = 0.48379 2*standard deviation = 0.03463 with N = 833 MeanA = 0.48441 2*standard deviation = 0.03461 with N = 834 MeanA = 0.48503 2*standard deviation = 0.034591 with N = 835 MeanA = 0.48445 2*standard deviation = 0.034569 with N = 836 MeanA = 0.48507 2*standard deviation = 0.03455 with N = 837 MeanA = 0.48568 2*standard deviation = 0.03453 with N = 838 MeanA = 0.4851 2*standard deviation = 0.034509 with N = 839 MeanA = 0.48452 2*standard deviation = 0.034487 with N = 840 MeanA = 0.48514 2*standard deviation = 0.034468 with N = 841 MeanA = 0.48456 2*standard deviation = 0.034446 with N = 842 MeanA = 0.48399 2*standard deviation = 0.034424 with N = 843 MeanA = 0.4846 2*standard deviation = 0.034405 with N = 844 MeanA = 0.48521 2*standard deviation = 0.034386 with N = 845 MeanA = 0.48582 2*standard deviation = 0.034367 with N = 846 MeanA = 0.48524 2*standard deviation = 0.034345 with N = 847 MeanA = 0.48467 2*standard deviation = 0.034324 with N = 848 MeanA = 0.48528 2*standard deviation = 0.034305 with N = 849 MeanA = 0.48588 2*standard deviation = 0.034286 with N = 850 MeanA = 0.48531 2*standard deviation = 0.034265 with N = 851 MeanA = 0.48592 2*standard deviation = 0.034246 with N = 852 MeanA = 0.48535 2*standard deviation = 0.034225 with N = 853 MeanA = 0.48595 2*standard deviation = 0.034206 with N = 854 MeanA = 0.48655 2*standard deviation = 0.034187 with N = 855 MeanA = 0.48598 2*standard deviation = 0.034166 with N = 856 MeanA = 0.48541 2*standard deviation = 0.034145 with N = 857 MeanA = 0.48601 2*standard deviation = 0.034126 with N = 858 MeanA = 0.48661 2*standard deviation = 0.034107 with N = 859 MeanA = 0.48721 2*standard deviation = 0.034089 with N = 860 MeanA = 0.4878 2*standard deviation = 0.03407 with N = 861 MeanA = 0.4884 2*standard deviation = 0.034051 with N = 862 MeanA = 0.48783 2*standard deviation = 0.03403 with N = 863 MeanA = 0.48727 2*standard deviation = 0.03401 with N = 864 MeanA = 0.48671 2*standard deviation = 0.033989 with N = 865 MeanA = 0.48614 2*standard deviation = 0.033968 with N = 866 MeanA = 0.48558 2*standard deviation = 0.033948 with N = 867 MeanA = 0.48618 2*standard deviation = 0.033929 with N = 868 MeanA = 0.48562 2*standard deviation = 0.033909 with N = 869 MeanA = 0.48621 2*standard deviation = 0.03389 with N = 870 MeanA = 0.48565 2*standard deviation = 0.03387 with N = 871 MeanA = 0.48624 2*standard deviation = 0.033851 with N = 872 MeanA = 0.48568 2*standard deviation = 0.033831 with N = 873 MeanA = 0.48513 2*standard deviation = 0.033811 with N = 874 MeanA = 0.48571 2*standard deviation = 0.033792 with N = 875 MeanA = 0.48516 2*standard deviation = 0.033772 with N = 876 MeanA = 0.48575 2*standard deviation = 0.033754 with N = 877 MeanA = 0.48633 2*standard deviation = 0.033736 with N = 878 MeanA = 0.48578 2*standard deviation = 0.033716 with N = 879 MeanA = 0.48523 2*standard deviation = 0.033695 with N = 880 MeanA = 0.48581 2*standard deviation = 0.033677 with N = 881 MeanA = 0.48639 2*standard deviation = 0.033659 with N = 882 MeanA = 0.48584 2*standard deviation = 0.033639 with N = 883 MeanA = 0.48643 2*standard deviation = 0.033621 with N = 884 MeanA = 0.48588 2*standard deviation = 0.033601 with N = 885 MeanA = 0.48533 2*standard deviation = 0.033581 with N = 886 MeanA = 0.48591 2*standard deviation = 0.033563 with N = 887 MeanA = 0.48649 2*standard deviation = 0.033546 with N = 888 MeanA = 0.48706 2*standard deviation = 0.033528 with N = 889 MeanA = 0.48652 2*standard deviation = 0.033508 with N = 890 MeanA = 0.48709 2*standard deviation = 0.03349 with N = 891 MeanA = 0.48655 2*standard deviation = 0.03347 with N = 892 MeanA = 0.48712 2*standard deviation = 0.033453 with N = 893 MeanA = 0.4877 2*standard deviation = 0.033435 with N = 894 MeanA = 0.48715 2*standard deviation = 0.033415 with N = 895 MeanA = 0.48661 2*standard deviation = 0.033396 with N = 896 MeanA = 0.48606 2*standard deviation = 0.033376 with N = 897 MeanA = 0.48552 2*standard deviation = 0.033356 with N = 898 MeanA = 0.4861 2*standard deviation = 0.033339 with N = 899 MeanA = 0.48667 2*standard deviation = 0.033321 with N = 900 MeanA = 0.48613 2*standard deviation = 0.033302 with N = 901 MeanA = 0.48559 2*standard deviation = 0.033283 with N = 902 MeanA = 0.48505 2*standard deviation = 0.033263 with N = 903 MeanA = 0.48562 2*standard deviation = 0.033246 with N = 904 MeanA = 0.48508 2*standard deviation = 0.033226 with N = 905 MeanA = 0.48455 2*standard deviation = 0.033207 with N = 906 MeanA = 0.48401 2*standard deviation = 0.033187 with N = 907 MeanA = 0.48458 2*standard deviation = 0.03317 with N = 908 MeanA = 0.48515 2*standard deviation = 0.033153 with N = 909 MeanA = 0.48571 2*standard deviation = 0.033136 with N = 910 MeanA = 0.48518 2*standard deviation = 0.033117 with N = 911 MeanA = 0.48575 2*standard deviation = 0.0331 with N = 912 MeanA = 0.48521 2*standard deviation = 0.033081 with N = 913 MeanA = 0.48468 2*standard deviation = 0.033062 with N = 914 MeanA = 0.48415 2*standard deviation = 0.033042 with N = 915 MeanA = 0.48472 2*standard deviation = 0.033025 with N = 916 MeanA = 0.48528 2*standard deviation = 0.033009 with N = 917 MeanA = 0.48475 2*standard deviation = 0.03299 with N = 918 MeanA = 0.48531 2*standard deviation = 0.032973 with N = 919 MeanA = 0.48587 2*standard deviation = 0.032956 with N = 920 MeanA = 0.48643 2*standard deviation = 0.032939 with N = 921 MeanA = 0.48698 2*standard deviation = 0.032922 with N = 922 MeanA = 0.48754 2*standard deviation = 0.032905 with N = 923 MeanA = 0.4881 2*standard deviation = 0.032888 with N = 924 MeanA = 0.48757 2*standard deviation = 0.03287 with N = 925 MeanA = 0.48812 2*standard deviation = 0.032853 with N = 926 MeanA = 0.48867 2*standard deviation = 0.032836 with N = 927 MeanA = 0.48815 2*standard deviation = 0.032817 with N = 928 MeanA = 0.4887 2*standard deviation = 0.032801 with N = 929 MeanA = 0.48925 2*standard deviation = 0.032784 with N = 930 MeanA = 0.4898 2*standard deviation = 0.032767 with N = 931 MeanA = 0.49034 2*standard deviation = 0.03275 with N = 932 MeanA = 0.48982 2*standard deviation = 0.032732 with N = 933 MeanA = 0.48929 2*standard deviation = 0.032713 with N = 934 MeanA = 0.48984 2*standard deviation = 0.032697 with N = 935 MeanA = 0.48932 2*standard deviation = 0.032679 with N = 936 MeanA = 0.48986 2*standard deviation = 0.032662 with N = 937 MeanA = 0.48934 2*standard deviation = 0.032644 with N = 938 MeanA = 0.48882 2*standard deviation = 0.032626 with N = 939 MeanA = 0.48936 2*standard deviation = 0.032609 with N = 940 MeanA = 0.4899 2*standard deviation = 0.032592 with N = 941 MeanA = 0.48938 2*standard deviation = 0.032574 with N = 942 MeanA = 0.48993 2*standard deviation = 0.032558 with N = 943 MeanA = 0.49047 2*standard deviation = 0.032541 with N = 944 MeanA = 0.49101 2*standard deviation = 0.032525 with N = 945 MeanA = 0.49049 2*standard deviation = 0.032507 with N = 946 MeanA = 0.48997 2*standard deviation = 0.032489 with N = 947 MeanA = 0.49051 2*standard deviation = 0.032473 with N = 948 MeanA = 0.48999 2*standard deviation = 0.032455 with N = 949 MeanA = 0.48947 2*standard deviation = 0.032437 with N = 950 MeanA = 0.49001 2*standard deviation = 0.032421 with N = 951 MeanA = 0.49055 2*standard deviation = 0.032404 with N = 952 MeanA = 0.49108 2*standard deviation = 0.032388 with N = 953 MeanA = 0.49057 2*standard deviation = 0.03237 with N = 954 MeanA = 0.4911 2*standard deviation = 0.032354 with N = 955 MeanA = 0.49059 2*standard deviation = 0.032337 with N = 956 MeanA = 0.49112 2*standard deviation = 0.03232 with N = 957 MeanA = 0.49165 2*standard deviation = 0.032304 with N = 958 MeanA = 0.49218 2*standard deviation = 0.032288 with N = 959 MeanA = 0.49167 2*standard deviation = 0.03227 with N = 960 MeanA = 0.49116 2*standard deviation = 0.032253 with N = 961 MeanA = 0.49168 2*standa...
95% confidence interval achieved for A with N = 3572 and width = 0.033445
Joseph Weiss
Joseph Weiss on 28 Apr 2022
Okay I see, that makes sense! Thank you for your help!

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Joseph Weiss
Joseph Weiss
on 28 Apr 2022

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Joseph Weiss
Joseph Weiss
on 28 Apr 2022

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