EBK THE BASIC PRACTICE OF STATISTICS
EBK THE BASIC PRACTICE OF STATISTICS
7th Edition
ISBN: 8220103935319
Author: Moore
Publisher: YUZU
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Chapter 27, Problem 27.15CYS
To determine

To identify: The purpose of analysis of variance is to compare

Expert Solution & Answer
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Answer to Problem 27.15CYS

Correct answer: Option (c); the means of several populations.

Explanation of Solution

Reason for the correct option:

One-way ANOVA is used to compare more than two groups of means or comparing the several population mean.

Therefore, the correct option is (c).

Reason for the incorrect options:

Option (a) is incorrect because the ANOVA F statistic does not compare the variances of several populations.

Option (b) is incorrect because the ANOVA F statistic does not compare the proportions of successes in several populations.

Thus, the purpose of analysis of variance is to compare the means of several populations.

Statistics Concept Introduction

Introduction:

One-way analysis of variance:

It is analyzed by only one factor. This is used for testing the equality of three or more samples from populations with equal means or not. That is, one-way ANOVA is used to compare more than two groups of means using only one factor.

The general hypotheses for one-way ANOVA is:

Null hypothesis:

H0:μ1=μ2=μ3=...

Alternative hypothesis:

Ha: At least one of the means is different from the other means

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