A safety engineer suspects that the average weight of airline passengers has increased from the regulated standard 180 pounds in the last decade. Based on published statistics, he knows that the standard deviation of weights is 25 pounds. He proposes drawing a sample of n = 64 passengers to test the hypothesis Ha: μ > 180 and wants to conduct this test with a Type I error of α = 0.05. What is the power of this test to detect a difference of 8 pounds.
a. .91
b. .95
c. .933
d. .18
e. .82