# Question

Let X1, X2, . . . , Xn be a random sample from N(0, σ2).

(a) Show that C = {(X1, X2, . . . , Xn) :

Is a best critical region for testing H0: σ2 = 4 against H1: σ2 = 16.

(b) If n = 15, find the value of c so that α = 0.05.

(c) If n = 15 and c is the value found in part (b), find the approximate value of

(a) Show that C = {(X1, X2, . . . , Xn) :

Is a best critical region for testing H0: σ2 = 4 against H1: σ2 = 16.

(b) If n = 15, find the value of c so that α = 0.05.

(c) If n = 15 and c is the value found in part (b), find the approximate value of

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