Question: 2) Let X1, X2, ...Xn are i.i.d random sample from U(0, 0). We know that X(n) = Max (X1, X2, ..Xn) is sufficient for 0.

2) Let X1, X2, ...Xn are i.i.d random sample from U(0, 0). We know that X(n) = Max (X1, X2, ..Xn) is sufficient for 0. Consider the critical function (10 points) o(X1, X2, . .. Xn) = 1, X(n) > c = 0, 0.W a) Recall the distribution of 7 = X(n) and find the power function of this critical function. b) Suppose the critical function is used in testing Ho : 0 = 60 VS H1 : 0 = 01 (>60). Find the value of c if a = 0.01

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