The mean output of a certain type of amplifier is 165 watts with a variance of 144. If 78 amplifiers are sampled, what is the probability that the mean of the sample would be greater than 163.7 watts? Round your answer to four decimal places.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 4CGP
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The mean output of a certain type of amplifier is 165 watts with a variance of 144.

If 78 amplifiers are sampled, what is the probability that the mean of the sample would be greater than 163.7 watts? Round your answer to four decimal places.

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