A local bank has two branches, one in Standish and the other in Limerick. To determine...

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A local bank has two branches, one in Standish and the other inLimerick. To determine whether the wait time at the drive-throughwas different for the branches, the director of the bank had themanager at each branch use security camera footage to randomlyselect 40 customers who used the drive-through and to determine thewait time. The average wait time for the sample for the Standishbranch was 93.12 seconds with a standard deviation of 14.65seconds. The average wait time for the sample for the Limerickbranch was 107.36 seconds with a standard deviation of 16.14seconds. Let ?1 be the population mean wait time for drive-throughcustomers at the Standish branch, and let ?2 be the population meanwait time for drive-through customers at the Limerick branch. Thealternative hypothesis for this test is Ha:?1??2?0. Assume that thepopulation standard deviations of the wait time for the twobranches are equal. If the p-value of the hypothesis test is lessthan 0.01 and the significance level is ?=0.10, what conclusioncould be made about the population mean wait times for customers atthe 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 issufficient evidence to suggest that the population mean wait timefor customers at the Standish branch is different than thepopulation mean wait time for customers at the Limerick branch.

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

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