Refer to Exercise 13.

The admissions officer will perform a test of the hypotheses H0: μ = 500 versus H1: μ ≠ 500 at the α = 0.01 level of significance. Assume that the population standard deviation is σ = 116 and that the sample size is n = 100.

Find the power of the test against the alternative μ1 = 550.

Exercise 13

A college admissions officer will draw a simple random sample of 100 mathematics SAT scores from the entering freshman class. The admissions officer will perform a test of the hypotheses H0: μ = 500 versus H1: μ > 500 at the

α = 0.05 level of significance. Assume the population standard deviation is σ = 116.