Suppose that X1, . . . , Xn form a random sample from the normal distribution with unknown mean μ and known variance 1, and it is desired to test the following hypotheses:
H0: 0.1 ≤ μ ≤ 0.2,
H1: μ < 0.1 or μ > 0.2.
Consider a test procedure δ such that the hypothesis H0 is rejected if either n ≤ c1 or n
≥ c2, and let π(μ|δ) denote the power function of δ. Suppose that the sample size is n = 25. Determine the values of the constants c1 and c2 such that π(0.1|δ) = π(0.2|δ) = 0.07.