Answered: f elementary school students reports…

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

Suppose that a study of elementary school students reports that the mean age at which children begin reading is 5.4 years with a standard deviation of 0.8 years.

Step 2 of 2 :

If a sampling distribution is created using samples of the ages at which 38 children begin reading, what would be the standard deviation of the sampling distribution of sample means? Round to two decimal places, if necessary.

Expert Solution

Step 1

As the sample size is higher than 30, it can be said that the distribution follows the normal distribution. (from central limit theorem). The mean and standard deviation of the sampling distribution of the sample mean is equal to μXˉ and $σ_{\bar{X}} = σ / \sqrt{n}$ respectively.

Given:

n = 30

$σ = 0.8 μ = 5.4$

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