Probability and Statistics for Engineering and the Sciences STAT 400 - University Of Maryland
9th Edition
ISBN: 9781305764477
Author: Jay L. Devore
Publisher: Cengage Learning
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Chapter 10.2, Problem 16E
Reconsider the axial stiffness data given in Exercise 8. ANOVA output from Minitab follows:
| Analysis of Variance for Stiffness | |||||
| Source | DF | SS | MS | F | P |
| Length | 4 | 43993 | 10998 | 10.48 | 0.000 |
| Error | 30 | 31475 | 1049 | ||
| Total | 34 | 75468 | |||
| Level | N | Mean | StDev | ||
| 4 | 7 | 333 .21 | 36.59 | ||
| 6 | 7 | 368.06 | 28.57 | ||
| 8 | 7 | 375.13 | 20.83 | ||
| 10 | 7 | 407 .36 | 44 .51 | ||
| 12 | 7 | 437.17 | 26.00 | ||
| Pooled StDev = 32.3 9 | |||||
Tukey’s pairwise comparisons
Family error rate = 0.0500
Individual error rate = 0.00693
Critical value = 4.10
Intervals for (column level mean) – (row level mean)
| 4 | 6 | 8 | 10 | |
| 6 | -85. 0 | |||
| 15.4 | ||||
| 8 | -92.1 | -57.3 | ||
| 8.3 | 43.1 | |||
| 10 | -124.3 | -89. 5 | -82.4 | |
| -23. 9 | 10. 9 | 18 . 0 | ||
| 12 | -154.2 | -119.3 | -112.2 | -80.0 |
| -53. 8 | -18. 9 | -11. 8 | 20.4 |
a. Is it plausible that the variances of the five axial stiffness index distributions are identical? Explain.
b. Use the output (without reference to our F table) to test the relevant hypotheses.
c. Use the Tukey intervals given in the output to determine which means differ, and construct the corresponding underscoring pattern.
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Chapter 10 Solutions
Probability and Statistics for Engineering and the Sciences STAT 400 - University Of Maryland
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