Exercise 1. Given a population with mean μ=400 and variance σ2 =1,600, the central limit theorem applies when the sample size is n>=25. A random sample of size n=35 is obtained. What is the variance of the sampling distribution of the sample means =6.7612 I dont understand why the answer for the question is (variance / 35 )^(1/2) and not 1600^(1/2)

Population is the set of all elements of interest. Sample is a subset of the population. Normal…

Answered: Exercise 1. Given a population with…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Exercise 1. Given a population with mean μ=400 and variance σ²=1,600, the central limit theorem applies when the sample size is n>=25. A random sample of size n=35 is obtained.

What is the variance of the sampling distribution of the sample means

=6.7612

I dont understand why the answer for the question is (variance / 35 )^(1/2) and not 1600^(1/2)

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