A population has a mean of 90 and a standard deviation of 7. If it is sampled repeatedly with samples of size 144, 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 90.87? (Round to 4 decimal places) c) What is the probability the sample mean is less than 92.16? (Round to 4 decimal places)

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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 144,
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 90.87?
(Round to 4
decimal places)
c) What is the probability the sample mean is less than 92.16?
(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 144, 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 90.87? (Round to 4 decimal places) c) What is the probability the sample mean is less than 92.16? (Round to 4 decimal places)
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