Final answer:
The null hypothesis is that the average wait time for filling a prescription is 14 minutes, while the alternative hypothesis is that the average wait time for filling a prescription is greater than 14 minutes. The manager is conducting a one-tailed test because they are only interested in determining if the average wait time is longer than 14 minutes, not if it is both longer and shorter.
Step-by-step explanation:
a. The null hypothesis is that the average wait time for filling a prescription is 14 minutes, while the alternative hypothesis is that the average wait time for filling a prescription is greater than 14 minutes.
b. The manager is conducting a one-tailed test because they are only interested in determining if the average wait time is longer than 14 minutes, not if it is both longer and shorter.