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? (Round your z-value to 3 decimal places and final answer to 4 decimal places.) b) What is the power of this test if the true mean is μ = 3.46? (Round your z-value to 3 decimal places and final answer to 4 decimal places.)
(c) What is the power of this test if the true mean is μ = 3.44? (Round your z-value to 3 decimal places and final answer to 4 decimal places.)