Question: The manager of a small convenience store does not want her customers standing in line for too long prior to a purchase. In particular, she is willing to hire an employee for another cash register if the average wait time of the customers is more than five minutes. She randomly observes the wait time (in minutes) of customers during the day as:
3.5 5.8 7.2 1.9 6.8 8.1 5.4
a. Set up the null and the alternative hypotheses to determine if the manager needs to hire another employee.
b. Calculate the value of the test statistic. What assumption regarding the population is necessary to implement this step?
c. Use the critical value approach to decide whether the manager needs to hire another employee at α = 0.10.
d. Repeat the above analysis with the p-value approach.