Probability and Statistics for Engineering and the Sciences
9th Edition
ISBN: 9781305251809
Author: Jay L. Devore
Publisher: Cengage Learning
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Chapter 9.3, Problem 47E
The article “Slender High-Strength RC Columns Under Eccentric Compression” (Magazine of Concrete Res., 2005: 361–370) gave the accompanying data on cylinder strength (MPa) for various types of columns cured under both moist conditions and laboratory drying conditions.
| Type | ||||||
| 1 | 2 | 3 | 4 | 5 | 6 | |
| M: | 82.6 | 87.1 | 89.5 | 88.8 | 94.3 | 80.0 |
| LD: | 86.9 | 87.3 | 92.0 | 89.3 | 91.4 | 85.9 |
| 7 | 8 | 9 | 10 | 11 | 12 | |
| M: | 86.7 | 92.5 | 97.8 | 90.4 | 94.6 | 91.6 |
| LD: | 89.4 | 91.8 | 94.3 | 92.0 | 93.1 | 91.3 |
a. Estimate the difference in true average strength under the two drying conditions in a way that conveys information about reliability and precision, and interpret the estimate. What does the estimate suggest about how true average strength under moist drying conditions compares to that under laboratory drying conditions?
b. Check the plausibility of any assumptions that underlie your analysis of (a).
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7.7
11.6
11.3
11.8
10.7
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6.8
5.8
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6.6
8.3
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9.0
7.6
8.1
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14.1
12.6
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Chapter 9 Solutions
Probability and Statistics for Engineering and the Sciences
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