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2. Consider i.i.d. observations X1, ...,Xn N N (p, 02) with [1 unknown and 02 known. For the problem H0 : ,u = 0 vs

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2. Consider i.i.d. observations X1, ...,Xn N N (p, 02) with [1 unknown and 02 known. For the problem H0 : ,u = 0 vs H1 : p > 0, the testing procedure that rejects H0 whenever IZX > 210: has the power function PM) = 1? (N(0,1) + @ > 21_a). Show Pm) is an increasing function by taking derivative

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