Find the probability that the sample mean of Xbar = 20 hours, as observed here, less than or equal 20 hours could arise if the true mean of the lot

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Find the probability that the sample mean of Xbar = 20 hours, as observed here, less than or equal 20 hours could arise if the true mean of the lot

1.
Six batteries taken at random from a large lot were subjected to life
tests with the following results:
19, 22, 18, 16, 25, and 20 hours.
Find the probability that the sample mean of x= 20 hours, as observed here, or one
less than 20 hours could arise if the true mean of the lot of batteries is 21.5 hours,
assuming a known variance of o = 10 hours, for the individual batteries in the lot.
%3D
Transcribed Image Text:1. Six batteries taken at random from a large lot were subjected to life tests with the following results: 19, 22, 18, 16, 25, and 20 hours. Find the probability that the sample mean of x= 20 hours, as observed here, or one less than 20 hours could arise if the true mean of the lot of batteries is 21.5 hours, assuming a known variance of o = 10 hours, for the individual batteries in the lot. %3D
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