Question: attached is the question 10. [50 points, total] Suppose that the average trip time from Oak Park to Ul on the Blue line is 23

attached is the question

10. [50 points, total] Suppose that the average trip time from Oak Park to Ul on the Blue line is 23 minutes and that the standard deviation of the population is 9 minutes (sigma=9). We are interested in know whether the average trip time on Thursdays is shorter. We study a sample of 36 trips on Thursdays and the average is 21 minutes. Execute a hypothesis test at alpha=5% that the average trip time on Thursdays is shorter (that is, that it requires a smaller 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 largest number of minutes that will allow you to reject Ho? What is the probability that you will reject Ho if mu is actually 21 minutes? Fill in the probabilities in the table below. Also indicate alpha, beta and power. What test concludes Ho is true in population Ho not true in population Reject Ho Not reject Ho

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