Suppose that the average trip time from Oak Park to UIC on the Blue line is 25 minutes and that the standard deviation of the population is 16 minutes (sigma=16). 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 24.25 minutes. Execute a hypothesis test at alpha=10% 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?
Suppose that the average trip time from Oak Park to UIC on the Blue line is 25 minutes and that the standard deviation of the population is 16 minutes (sigma=16). 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 24.25 minutes. Execute a hypothesis test at alpha=10% 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?
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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Transcribed Image Text:Suppose that the average trip time from Oak Park to UIC on the Blue line is 25
minutes and that the standard deviation of the population is 16 minutes (sigma=16). 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 24.25 minutes. Execute a hypothesis test at alpha=10% 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 24 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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