Statistics, Books a la Carte Edition (13th Edition)
13th Edition
ISBN: 9780134090412
Author: Sincich, Terry T, MCCLAVE, James T.
Publisher: PEARSON
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Textbook Question
Chapter 9.2, Problem 9.21LM
The data in the next table resulted from an experiment that used a completely randomized design.
Treatment 1 | Treatment 2 | Treatment 3 |
3.8 | 5.4 | 1.3 |
1.2 | 2.0 | 0.7 |
4.1 | 4.8 | 2.2 |
5.5 | 3.8 | |
2.3 |
a. Use statistical software (or the appropriate calculation formulas in Appendix C) to complete the following ANOVA table:
b. Test the null hypothesis that μ1 = μ2 = μ3, where μi represents the true mean for treatment i, against the alternative that at least two of the means differ. Use α = .01.
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Check out a sample textbook solutionStudents have asked these similar questions
A product developer is investigating the tensile strength of a new synthetic fiber that will be used to make cloth for men’s shirts. Strength is usually affected by the percentage of cotton used in the blend of materials for the fiber. The engineer conducts a completely randomized experiment with five levels of cotton content and replicated the experiment five times. The data are shown in the following table.
Cotton
Weight Percentage
Observations
15
7
7
15
11
9
20
12
17
12
18
18
25
14
19
19
18
18
30
19
25
22
19
23
35
7
10
11
15
11
(a) Is there evidence to support the claim that cotton content affects the mean tensile strength? Use a = 0.05 conduct a hypothesis testing.
(b) Conduct pairwise comparison using Fisher’s LSD approach. What conclusions can you draw? Redo it using Tukey method, what conclusions can you draw now?
The following data summarize the results from an independent-measures study comparing three treatment conditions.
Treatment
I II III N = 12
3 5 6 G = 60
5 5 10 ∑X2 = 392
3 1 10
1 5 6
x̅1 = 3 x̅2 = 4 x̅3 = 8
T1 = 12 T2 = 16 T3 =32…
Chapter 9 Solutions
Statistics, Books a la Carte Edition (13th Edition)
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