Answered: Assume that a sample is used to…

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

Assume that a sample is used to estimate a population mean μμ.
Find the margin of error (M.O.E.) that corresponds to a sample of size 18 with a mean of 36.2 and a standard deviation of 18.9 at a confidence level of 95%.

Report MOE accurate to one decimal place.

Expert Solution

Step 1 Introduction

Given that :

A sample of size (n) = 18

Mean of sample of size (µ) = 18

Standard deviation ( σ ) = 18.9

A confidence level is given : 95%

therefore, the confidence level is equal to .95

We know that

where, $Z_{\frac{α}{2}} = - 1.96 (f r o m Z - t a b l e)$

Note : Look for the 0.025 (area value ) in the body of the table then look corresponding Z -value. For 0.025 the Z - value is -1.96.

or in excel use command

where probability = 0.025

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