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(,2) with mean =565 and variance 2=402.

i) what are the hypotheses being tested?

ii) Interpret a Type II error in this context

iii)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 = 0.05. How many candidates should we

select?