Question: 13.3.5 Let X I ,. . . , X , be a random sample from EXP(X) distribution. Null hypothesis Ho : X = XO is

13.3.5 Let X I ,. . . , X , be a random sample from EXP(X) distribution. Null hypothesis Ho : X = XO is tested against the alternative H1 : X = XI, where A1 > XO.

Compare the power functions of the two tests:

(a) the most powerful test, and (b)

the most powerful test based on the statistic XI:^. Assume that both tests have equal probabilities of a type I error.

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