Time remaining: 00 :09 :34 Statistics and Probability suppose that the average trip time from your house to school on the train is 21 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 shorter. We study a sample of 49 trips on Thursdays and the average is 20.75 minutes. Execute a hypothesis test at alpha=1% 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.. A) What is the largest number of minutes that will allow you to reject Ho? B) What is the probability that you will reject Ho if mu is 20 minutes? C) Fill in the probabilities in the table below. Also indicate alpha, beta, and power. D)What test concludes Ho is true in population Ho not true in population Reject Ho Not reject Ho D) Fill in the probabilities in the table below. Also indicate alpha, beta, and power.

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