Question: 13.2.6 Let X I , . . . , Xg be a random sample from the N(p, 1) distribution. To test the hypothesis HO :

13.2.6 Let X I , . . . , Xg be a random sample from the N(p, 1) distribution. To test the hypothesis HO : p 5 0 against H1 : p > 0, one uses the test “reject HO if 3 5 x 5 5.” Find the power function and show that this is a bad test.

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