Suppose that y1 y2 yn constitute a random sample from


Suppose that Y1 , Y2 , . . . , Yn constitute a random sample from a normal distribution with unknown mean μ and known variance σ 2 . We wish to test H0 : μ = μ0 against Ha : μ > μ0 for a specified constant μ0 . Find the uniformly most powerful test with significance level α.

 

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Mathematics: Suppose that y1 y2 yn constitute a random sample from
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