For the following situation, find the mean and standard deviation of the population. List all samples (with replacement) of the given size from that population and find the mean of each. Find the mean and standard deviation of the sampling distribution and compare them with the mean and standard deviation of the population. The word counts of five essays are 509, 640, 548, 614, and 586. Use a sample size of 2. O

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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For the following situation, find the mean and standard deviation of the population. List all samples (with replacement) of the given size from that population and find the
mean of each. Find the mean and standard deviation of the sampling distribution and compare them with the mean and standard deviation of the population.
The word counts of five essays are 509, 640, 548, 614, and 586. Use a sample size of 2. O
Transcribed Image Text:For the following situation, find the mean and standard deviation of the population. List all samples (with replacement) of the given size from that population and find the mean of each. Find the mean and standard deviation of the sampling distribution and compare them with the mean and standard deviation of the population. The word counts of five essays are 509, 640, 548, 614, and 586. Use a sample size of 2. O
Expert Solution
Step 1

The population mean is computed as follows:

μ=xN  =509+640+548+614+5865  =579.4

The population mean is 579.4.

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