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4. (20 pts) ( Problem 10.13, Wasserman) Let X 1, , xn v N4ơ2) where σ2 is known H +io. (a) (8 pts) Construct a level α Wald test and specify the rejection region. (You may use the a-quantile (b) (12 pts) Construct a level α likelihood ratio test and specify the rejection region. Compare the result 0:μ-μ0 versus H1 : μ za of standard normal.) with (a). (You may use the a-quantile X2,a ond distribution. )

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