BASIC PRACTICE OF STATISTICS >C<
8th Edition
ISBN: 9781319220280
Author: Moore
Publisher: MAC HIGHER
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Chapter 27, Problem 27.18CYS
To determine
To identify: The purpose of analysis of variance is to compare
Expert Solution & Answer
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.
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:
Alternative hypothesis:
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Microsoft Excel snapshot for random sampling: Also note the formula used for the last
column
02
x✓ fx =INDEX(5852:58551, RANK(C2, $C$2:$C$51))
A
B
1
No.
States
2
1
ALABAMA
Rand No.
0.925957526
3
2
ALASKA
0.372999976
4
3
ARIZONA
0.941323044
5
4 ARKANSAS
0.071266381
Random Sample
CALIFORNIA
NORTH CAROLINA
ARKANSAS
WASHINGTON
G7
Microsoft Excel snapshot for systematic sampling:
xfx INDEX(SD52:50551, F7)
A
B
E
F
G
1
No.
States
Rand No. Random Sample
population
50
2
1 ALABAMA
0.5296685 NEW HAMPSHIRE
sample
10
3
2 ALASKA
0.4493186 OKLAHOMA
k
5
4
3 ARIZONA
0.707914 KANSAS
5
4 ARKANSAS 0.4831379 NORTH DAKOTA
6
5 CALIFORNIA 0.7277162 INDIANA
Random Sample
Sample Name
7
6 COLORADO 0.5865002 MISSISSIPPI
8
7:ONNECTICU 0.7640596 ILLINOIS
9
8 DELAWARE 0.5783029 MISSOURI
525
10
15
INDIANA
MARYLAND
COLORADO
Chapter 27 Solutions
BASIC PRACTICE OF STATISTICS >C<
Ch. 27.2 - Prob. 1AYKCh. 27.2 - Prob. 2AYKCh. 27.3 - Prob. 3AYKCh. 27.3 - Prob. 4AYKCh. 27.4 - Prob. 5AYKCh. 27.4 - Prob. 6AYKCh. 27.5 - Prob. 7AYKCh. 27.5 - Prob. 8AYKCh. 27.5 - Prob. 9AYKCh. 27.6 - Prob. 10AYK
Ch. 27.6 - Prob. 11AYKCh. 27.7 - Prob. 12AYKCh. 27.7 - Prob. 13AYKCh. 27.7 - Prob. 14AYKCh. 27.8 - Prob. 15AYKCh. 27.8 - Prob. 16AYKCh. 27.8 - Prob. 17AYKCh. 27 - Prob. 27.18CYSCh. 27 - Prob. 27.19CYSCh. 27 - Prob. 27.20CYSCh. 27 - Prob. 27.21CYSCh. 27 - Prob. 27.22CYSCh. 27 - Prob. 27.23CYSCh. 27 - Prob. 27.24CYSCh. 27 - Prob. 27.25CYSCh. 27 - Prob. 27.26CYSCh. 27 - Prob. 27.27CYSCh. 27 - Prob. 27.28ECh. 27 - Prob. 27.29ECh. 27 - Prob. 27.30ECh. 27 - Prob. 27.31ECh. 27 - Prob. 27.32ECh. 27 - Prob. 27.33ECh. 27 - Prob. 27.34ECh. 27 - Prob. 27.35ECh. 27 - Prob. 27.36ECh. 27 - Prob. 27.37ECh. 27 - Prob. 27.38ECh. 27 - Prob. 27.39ECh. 27 - Prob. 27.40ECh. 27 - Prob. 27.41ECh. 27 - Prob. 27.42ECh. 27 - Prob. 27.43ECh. 27 - Prob. 27.44ECh. 27 - Prob. 27.45ECh. 27 - Prob. 27.46ECh. 27 - Prob. 27.47ECh. 27 - Prob. 27.48ECh. 27 - Prob. 27.49ECh. 27 - Prob. 27.51ECh. 27 - Prob. 27.53E
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