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

Answer to Problem 27.18CYS
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.
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:
Alternative hypothesis:
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Chapter 27 Solutions
BASIC PRACTICE OF STATISTICS >C<
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