A chain of restaurants advertises that themeanwait time,

,for a customer is at most10

minutes. To test the restaurant chain's claim, a consumer advocate takes arandom sampleof41

customers. The mean wait time for the sample is11.3

minutes. Assume thepopulation standard deviationfor the wait times is known to be3.9

minutes.Is there enough evidence to reject the claim that the mean wait time is at most

10

minutes? Perform ahypothesis test, using the0.05

level of significance.

(a)State thenull hypothesis

H

0

and thealternative hypothesisH

1