Question: 8.45 In constructing an aptitude test for a job, it is important to plan for a fairly large variance in test scores so the best

8.45 In constructing an aptitude test for a job, it is important to plan for a fairly large variance in test scores so the best applicants can be easily identified. For a certain test, scores are assumed to be normally distributed with a mean of 80 and a standard deviation of 10. A dozen applicants are to take the aptitude test. Find the approximate probability that the sample standard deviation of the scores for these applicants will exceed 15.

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