You take all possible samples of size 100 from a very large population of values. The mean of the population is 550. The standard deviation is 50. You compute the mean of each sample. 95% of the sample means will be greater than ___

You take all possible samples of size 100 from a very large population of values. The mean of the population is 550. The standard deviation is 50. You compute the mean of each sample. 95% of the sample means will be greater than ___

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

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.

Expert Solution

Step 1

given data

n = 100

$μ = 550 σ = 50$ very large population

$P (\bar{x} > z) = 0.95 \bar{x} = ?$

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