At a certain beer bottling plant, the amount of beer that is put in a bottle is known to be approximately normally distributed, with a mean of 341 ml and a standard deviation of 2 ml. If ten bottles are randomly selected, what is the probability that the sample mean of these 10 bottles is greater than 342 ml?

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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At a certain beer bottling plant, the amount of beer that is put in a bottle is known to be approximately normally distributed, with a mean of 341 ml and a standard deviation of 2 ml. If ten bottles are randomly selected, what is the probability that the sample mean of these 10 bottles is greater than 342 ml? 

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