# A sample of 44 observations is selected from one population with a population standard deviation of 3.1. The sample mean…

A sample of 44 observations is selected from one population with

a population standard deviation of 3.1. The sample mean is 101.0. A

sample of 56 observations is selected from a second population with

a population standard deviation of 5.0. The sample mean is 99.5.

Conduct the following test of hypothesis using the 0.10

significance level.

H0 : μ1 =

μ2

H1 : μ1 ≠

μ2

Is this a one-tailed or a two-tailed test?

One-tailed test

Two-tailed test

State the decision rule. (Negative values should be

indicated by a minus sign. Round your answers to 2 decimal

places.)

Compute the value of the test statistic. (Round your

answer to 2 decimal places.)

What is your decision regarding H0?

Reject H0

Do not reject H0

What is the p-value? (Round your answer to 4

decimal places.)