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Suppose that we have a random sample of four observations from the density function 1 2 y/I9 9 0: f(y|6)= (293) W 0, elsewhere. a

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Suppose that we have a random sample of four observations from the density function 1 2 y/I9 9 0: f(y|6)= (293)\" W 0, elsewhere. a Find the rejection region for the most powerful test of H0 : 6 = (90 against Ha :6 = 60, assuming that Ba > 60. [Hint Make use of the X2 distribution] b Is the test given in part (a) uniformly most powerful for the alternative 9 > 90

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