MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Question
- As part of an experiment, four fabrics are tested for flammability at the National Bureau of Standards. The following burn times in seconds are recorded after a paper tab is ignited on the hem of a dress made of each fabric.
Fabric 1 |
17.8 |
16.2 |
17.5 |
17.4 |
15.0 |
Fabric 2 |
11.2 |
11.4 |
15.8 |
10.0 |
10.4 |
Fabric 3 |
11.8 |
11.0 |
10.0 |
9.2 |
|
Fabric 4 |
14.9 |
10.8 |
12.8 |
10.7 |
|
Pooled StDev = 1.693
Complete each of the following bulleted parts for this problem.
- Sum of Squares for Groups (SSG) is the measure of variability among groups. Calculate SSG.
- Sum of Squares Error (SSE) is the measure of variability within groups. Use the formula to calculate it.
- Fill in the following ANOVA table for this problem.
Source |
DF |
SS |
MS |
F |
Group |
|
|
|
|
Error |
|
|
|
|
Total |
|
|
|
|
- What are the two assumptions of an ANOVA?
- Check these assumptions. What are you using to check each assumption?
- State the ANOVA hypotheses.
- Give the value of the test statistic.
- Given HO is true, what is the distribution of the test statistic?
- What is the p-value?
- Make a decision at the 0.05 significance level.
- Make a conclusion in terms of the problem.
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