A population has mean 75 and standard deviation 12. (a) Random samples of size 121 are taken. Find the mean and standard deviation of the sample mean. (b) How would the answers to part (a) change if the size of the samples were 400 instead of 121?

A population has mean 75 and standard deviation 12. (a) Random samples of size 121 are taken. Find the mean and standard deviation of the sample mean. (b) How would the answers to part (a) change if the size of the samples were 400 instead of 121?

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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Question

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A population has mean 75 and standard deviation 12.
(a) Random samples of size 121 are taken. Find the mean and standard deviation of
the sample mean.
(b) How would the answers to part (a) change if the size of the samples were 400
instead of 121?

Definition Definition Number of subjects or observations included in a study. A large sample size typically provides more reliable results and better representation of the population. As sample size and width of confidence interval are inversely related, if the sample size is increased, the width of the confidence interval decreases.

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