An SAT prep course claims to increase average Verbal SAT scores. To test the claim, n candidates will be selected at random to take the prep course and take the test. It is known that, without the...

Extracted text: An SAT prep course claims to increase average Verbal SAT scores. To test the claim, n candidates will be selected at random to take the prep course and take the test. It is known that, without the prep course, SAT-V scores are distributed N(µ, o2) with mean u = 565 and variance o? = 40². a) What are the hypotheses being tested? b) Interpret a Type II error in this context. We want the probability of making a Type II error, when there is a 15 point mean increase, to be 0.1 (or less), when the level is a c) 0.05. How many candidates should we select?