EBK THE BASIC PRACTICE OF STATISTICS
EBK THE BASIC PRACTICE OF STATISTICS
7th Edition
ISBN: 8220103935319
Author: Moore
Publisher: YUZU
bartleby

Concept explainers

bartleby

Videos

Question
Book Icon
Chapter 27, Problem 27.15CYS
To determine

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

Expert Solution & Answer
Check Mark

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

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
Knowledge Booster
Background pattern image
Statistics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Text book image
MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
Text book image
Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning
Text book image
Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning
Text book image
Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON
Text book image
The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman
Text book image
Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman
The Shape of Data: Distributions: Crash Course Statistics #7; Author: CrashCourse;https://www.youtube.com/watch?v=bPFNxD3Yg6U;License: Standard YouTube License, CC-BY
Shape, Center, and Spread - Module 20.2 (Part 1); Author: Mrmathblog;https://www.youtube.com/watch?v=COaid7O_Gag;License: Standard YouTube License, CC-BY
Shape, Center and Spread; Author: Emily Murdock;https://www.youtube.com/watch?v=_YyW0DSCzpM;License: Standard Youtube License