Suppose that X1, , Xn form a random sample from the normal distribution with unknown mean and known variance is 1, and the following hypotheses are to be tested H0 3 5, H1 5 0 a Among all test procedures for which () 0 05, describe a procedure for which () is a minimum b For n 4, find the minimum v...

a The conditions here are different from those of the NeymanPearson lemma Rather than fixing the val ...

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 unknown mean θ and known variance is 1, and the following hypotheses are to be tested:
H0: θ = 3.5,
H1: θ = 5.0.
a. Among all test procedures for which β(δ) ≤ 0.05, describe a procedure for which α(δ) is a minimum.
b. For n = 4, find the minimum value of α(δ) attained by the procedure described in part (a). Distribution
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