Chapter 9.7, Problem 60SE

Repeat the previous exercise, using α = .05. For each true value of μ, is the power higher or lower?

9.59 For a certain wine, the mean pH (a measure of acidity) is supposed to be 3.50 with a known standard deviation of σ = .10. The quality inspector examines 25 bottles at random to test whether the pH is too low, using a left-tailed test at α = .01. (a) What is the power of this test if the true mean is μ = 3.48? (b) If the true mean is μ = 3.46? (c) If the true mean is μ = 3.44?