Suppose that the data below are independent observations on random variables Y1, Y2, . Yı2 from an Exponential distribution with mean 0: 9,5, 75, 29, 88, 13, 23, 17, 144, 128, 65, 6 In order to test Ho: the median of the distribution equals 60, a likelihood ratio test is conducted. What would we conclude, based on the data? (Find the p-value.) Hint: We know that the median of an Exponential distribution is a function of 0.

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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Find the p-value for the likelihood ratio test. We know that median=theta*ln
Suppose that the data below are independent observations on random variables Y1, Y2, .,
Yı2 from an Exponential distribution with mean 0:
9, 5, 75, 29, 88, 13, 23, 17, 144, 128, 65, 6
In order to test Ho: the median of the distribution equals 60, a likelihood ratio test is
conducted. What would we conclude, based on the data? (Find the p-value.)
Hint: We know that the median of an Exponential distribution is a function of 0.
Transcribed Image Text:Suppose that the data below are independent observations on random variables Y1, Y2, ., Yı2 from an Exponential distribution with mean 0: 9, 5, 75, 29, 88, 13, 23, 17, 144, 128, 65, 6 In order to test Ho: the median of the distribution equals 60, a likelihood ratio test is conducted. What would we conclude, based on the data? (Find the p-value.) Hint: We know that the median of an Exponential distribution is a function of 0.
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