An SAT prep course claims to increase average Verbal SAT sco.pdf

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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. (a) (0.5 points) What are the hypotheses being tested? (b) (1 point) Interpret a Type I error and a Type II error in this context. (c) Suppose we select n=61 candidates and decide to reject the null hypothesis if the average score is greater than or equal to 575 . Calculate - (1 point) the probability of a Type I error; - (1 point) the probability of a Type II error if the prep course increases average Verbal SAT scores by 15 points..

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