Answered: Statistics Question

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Statistics

Statistics Question

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

Expert Solution

Step 1

Given,

Mean=76

Standard deviation = 67.7

Sample size =219

Central limit theorem (CLT):

According to CLT, for a given sufficiently large sample size from a population with a finite level of variance, the mean of all samples from the same population will be approximately equal to the mean of the population. Thus, in normal distribution when the sample is large then sample mean same as population mean and standard deviation is σ/sqrt(n)