4. Describe the distribution of sample means (shape, expected value of the mean, and standard error of the mean) for samples of n=100 selected from a population with a mean (u) =40 and standard deviation (g)=10.
4. Describe the distribution of sample means (shape, expected value of the mean, and standard error of the mean) for samples of n=100 selected from a population with a mean (u) =40 and standard deviation (g)=10.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:4. Describe the distribution of sample means (shape, expected value of the mean, and
standard error of the mean) for samples of n=100 selected from a population with a
mean (u) =40 and standard deviation (ơ)=10.
Expert Solution

Step 1
Sampling distribution of sample mean():
Suppose simple random sample of size ‘n’ is drawn form any population with mean and standard deviation . According to Central limit theorem for large n ( n >= 30 ) the sampling distribution of sample mean ( ) is approximately normal with mean and standard deviation (or standard error)
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