10. Suppose that the average trip time from Oak Park to UIC on the Blue line is 27 minutes and that the standard deviation of the population is 9 minutes (sigma=9). We are interested to know whether the average trip time on Thursdays is longer. We study a sample of 25 trips on Thursdays and the average is 28.75 minutes. Execute a hypothesis test at alpha=10% that the average trip time on Thursdays is longer (that is, that it requires a larger number of minutes). State Ho, Ha, calculate the appropriate statistic, p-value, state whether you reject Ho vs. not and state your conclusion in plain English.

What is the smallest number of minutes that will allow you to reject Ho?

What is the probability that you will reject Ho if mu is actually 27.875 minutes?

Also indicate alpha, beta and power.