1. Assume the number of Continental Hotel Rewards Points that John Wick earns every day follows an approximately normal distribution with unknown mean and unknown standard deviation. Let n = 16, s = 16, ? = 0.05 Test H0 : = 100 vs HA : (a) (0.5 points) Define a rejection region for H0 in terms of X. (b) (0.5 points) Based on the rejection region in part (a), what is the power of this test at the following values of : ? = 99? ? = 97? (c) (1 point) Sketch a power curve with these two points, and label ?.

Assume the number of Continental Hotel Rewards Points that John Wick earns every day follows an approximately normal distribution with unknown mean and unknown standard deviation. Let n = 16, s = 16, O = 0.05 Test Ho : / = 100 vs HA : /