Let Y1, Y2, . . . , Y20 be a random sample of size n =
Chapter 10, Problem 91E(choose chapter or problem)
Problem 91E
Let Y1, Y2, . . . , Y20 be a random sample of size n = 20from a normal distribution with unknown mean μ and known variance σ 2 = 5. We wish to test H0 : μ = 7 versus Ha :μ > 7.
a Find the uniformly most powerful test with significance level .05.
b For the test in part (a), find the power at each of the following alternative values for μ : μa = 7.5, 8.0, 8.5, and 9.0.
c Sketch a graph of the power function.
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