Suppose that XI . . . , X I , are independent and identically distributed as N(O,

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Suppose that XI . . . , X I , are independent and identically distributed as N(O, 4). Test the hypothesis that tf” : 0 = 3 versus the alternative hypothesis Ho : U # 3. Assume that you have observed 2 = 5, and that your prior probabilities are P(FI,} = 0.6, and P ( H , ) = 0.4. .4ssume that your prior probability for fl follows the law N( I,]). Use the Jefieys’ tcsting procedure.

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