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minutes for its customers Recently the restaurant added several very popular dishes back to their menu Due to this the manager suspects the wait time has increased He takes a random sample of 41 customers The mean wait time for the sample is 11 3 minutes Assume the population standard deviation for the wait times is known to be 2 8 minutes Can the manager conclude that the mean wait time is now greater than 10 minutes Perform a hypothesis test using the 0 05 level of significance a State the null hypothesis H and the alternative hypothesis H Ho H 0 given by Standard Normal Distribution b Perform a hypothesis test The test statistic has a normal distribution so the test is a z test Here is some other information to help you with your test Step 1 Select one tailed or two tailed O One tailed O Two tailed Step 2 Enter the critical value s Round to 3 decimal places Step 3 Enter the test statistic Round to 3 decimal places U 70 05 is the value that cuts off an area of 0 0s in the right tail The test statistic has a normal distribution and the value is x u n 03 02 aut Since the value of the test statistic lies in the rejection region the null hypothesis is rejected So there is enough evidence to conclude that the mean wait time is now greater than 10 minutes LI Since the value of the test statistic lies in the rejection region the null hypothesis is not rejected So there is not enough evidence to conclude that the mean wait time is now greater than 10 minutes O Since the value of the test statistic doesn t lie in the rejection region the null hypothesis is rejected So there is enough evidence to conclude that the mean wait time is now greater than 10 minutes 020 Since the value of the test statistic doesn t lie in the rejection region the null hypothesis is not rejected So there is not enough evidence to conclude that the mean wait time is now greater than 10 minutes X X Oso O 0 c Based on your answer to part b choose what can be concluded at the 0 05 level of significance about the claim made by the chain of restaurants 0 0 0 0 5 5 BEI M

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