Let X1, X2, . . . , Xn be a random sample from N(0, Ï2). (a) Show that C = {(X1, X2, . . .

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

S C