Suppose that X1, . . . , Xn form a random sample from the normal distribution with

Question:

Suppose that X1, . . . , Xn form a random sample from the normal with known mean μ and unknown variance σ2, and the following simple hypotheses are to be tested:
H0: σ2 = 2,
H1: σ2 = 3.
a. Show that among all test procedures for which α(δ) ≤ 0.05, the value of β(δ) is minimized by a procedure that rejects H0 when
b. For n = 8, find the value of the constant c that appears in part (a). Distribution
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