Question

A local bank has two branches, one in Standish and the other in Limerick. To determine whether the wait time at the drive-through was different for the branches, the director of the bank had the manager at each branch use security camera footage to randomly select 40 customers who used the drive-through and to determine the wait time. The average wait time for the sample for the Standish branch was 93.12 seconds with a standard deviation of 14.65 seconds. The average wait time for the sample for the Limerick branch was 107.36 seconds with a standard deviation of 16.14 seconds. Let μ1 be the population mean wait time for drive-through customers at the Standish branch, and let μ2 be the population mean wait time for drive-through customers at the Limerick branch. The alternative hypothesis for this test is Ha:μ1−μ2≠0. Assume that the population standard deviations of the wait time for the two branches are equal. If the p-value of the hypothesis test is less than 0.01 and the significance level is α=0.10, what conclusion could be made about the population mean wait times for customers at the two branches?

Select all that apply:

A) Reject the null hypothesis.

B) Fail to reject the null hypothesis.

C) The conclusion of the hypothesis test is that there is sufficient evidence to suggest that the population mean wait time for customers at the Standish branch is different than the population mean wait time for customers at the Limerick branch.

D) The conclusion of the hypothesis test is that there is insufficient evidence to suggest that the population mean wait time for customers at the Standish branch is different than the population mean wait time for customers at the Limerick branch.

Answer 1