Let X1,X2 be a random sample from the U , 1 distribution In the test of H0 0 against H1 0, H0 is rejected when X1 X2 k Find the power function of the test that has probability of the type I error equal 0 05

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Question: Let X1,X2 be a random sample from the U[, + 1] distribution. In the test of H0 : = 0 against H1 :

Let X1,X2 be a random sample from the U[θ,θ + 1] distribution. In the test of H0 : θ = 0 against H1 : θ > 0, H0 is rejected when X1 + X2 > k. Find the power function of the test that has probability of the type I error equal 0.05.

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