Question: Let X1, X2, ... Xn denote independent random sample from a uniform distribution over the interval (0, 0 + 1). (a) Find the a level

Let X1, X2, ... Xn denote independent random sample from a uniform distribution over the interval (0, 0 + 1). (a) Find the a level test for testing Ho: 0 = 0 against H1: 0 > 0 (b) Find its power and compare the power with the power of native test that rejects null if (X1 > 1 - a) Show the power of the former is indeed larger by using your calculation

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