Suppose that from the past experience a professor knows that the test score of a student taking his final examination is a random variable with mean 60 and standard deviation 8. How many students would have to take the examination to ensure, with probability at least 0.94, that the class average would be within 1.5 of 60?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Suppose that from the past experience a professor knows that the test score of a student taking his final examination is a random variable with mean 60 and standard deviation 8. How many students would have to take the examination to ensure, with probability at least 0.94, that the class average would be within 1.5 of 60?

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