Consider taking a sample of 30 students to test the claim that the variance of students' R-scores is less than 16, using a 5% significance level.
(a) Perform the hypothesis test if the sample standard devi- ation turns out to be s = 3.1. Follow the rejection region approach.
(b) Before getting the data, estimate the probability of a type II error in this test if the true variance is o2 = 7. In other words, find 8(7).