Question: A graduate admissions committee has finally come to realize that
A graduate admissions committee has finally come to realize that it cannot make valid distinctions among the top applicants. This year the committee rated all 500 applicants and randomly chose 10 from those at or above the 80th percentile. (The 80th percentile is the point at or below which 80 percent of the ratings fall.) What is the probability that any particular applicant will be admitted (assuming you have no knowledge of his or her rating)?
Relevant QuestionsWith respect to Exercise 7.15, determine the conditional probability that the person will be admitted, given the following: a) That he or she has the highest rating b) That he or she has the lowest rating Compare the conditional probability from Exercise 7.20 with the unconditional probability of dropping out of school. Which parts of Exercise 7.3 dealt with conditional probabilities? In Exercise 7.3 Now suppose that because of the high level of ticket sales, an additional $250 second prize will also be awarded. a) Given that you don’t ...For the distribution in Figure 8.6, I said that the probability of a Type II error (b) is .64. Show how this probability was obtained. Using the example in Exercise 8.2, describe what we mean by the rejection region and the critical value.
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