A manufacturer knows that their items have a lengths that are approximately normally distributed, with a mean of 18.9 inches, and standard deviation of 1.8 inches. If 50 items are chosen at random, what is the probability that their mean length is greater than 18.7 inches?

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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A manufacturer knows that their items have a lengths that are approximately normally distributed, with a mean of 18.9 inches, and standard deviation of 1.8 inches.

If 50 items are chosen at random, what is the probability that their mean length is greater than 18.7 inches?

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