A population has a mean of 90 and a standard deviation of 7. If it is sampled repeatedly with samples of size 169, a) what is the mean and standard deviation of the sample means? (Round to 4 decimal places) b) What is the probability the sample mean is greater than 91.08? (Round to 4 decimal places) c) What is the probability the sample mean is less than 91.88? (Round to 4 decimal places)

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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A population has a mean of 90 and a standard deviation of 7. If it is sampled repeatedly with samples of
size 169,
a) what is the mean
and standard deviation
of the
sample means? (Round to 4 decimal places)
b) What is the probability the sample mean is greater than 91.08?
(Round to 4
decimal places)
c) What is the probability the sample mean is less than 91.88?
(Round to 4
decimal places)
Transcribed Image Text:A population has a mean of 90 and a standard deviation of 7. If it is sampled repeatedly with samples of size 169, a) what is the mean and standard deviation of the sample means? (Round to 4 decimal places) b) What is the probability the sample mean is greater than 91.08? (Round to 4 decimal places) c) What is the probability the sample mean is less than 91.88? (Round to 4 decimal places)
Expert Solution
Step 1

Given that 

Mean=mu=90 

Standard deviation=sigma=7

n=169

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