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 36E
Consider the accompanying data on breaking load (kg/25 mm width) for various fabrics in both an unabraded condition and an abraded condition (“The Effect of Wet Abrasive Wear on the Tensile Properties of Cotton and Polyester-Cotton Fabrics,” J. Testing and Evaluation, 1993: 84–93). Use the paired t test, as did the authors of the cited article, to test H0: μD = 0
versus Ha: μD .> 0 at significance level .01.
| Fabric | |||||||
| 1 | 2 | 3 | 4 5 | 6 | 7 | 8 | |
| U | 36.4 | 55.0 | 51.5 | 38.7 43.2 | 48.8 | 25.6 | 49.8 |
| A | 28.5 | 20.0 | 46.0 | 34.5 36.5 | 52.5 | 26.5 | 46.5 |
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Тарег
Material
Neck
Length
Coefficient of Friction
CPTI-ZIO2
CPTI-Z:O,
CPTI-Z:O, Long
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TiAlloy-ZrO, Medium
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Compute the main effects and interactions.
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The article "Bone Density and Insertion Torque as Predictors of Anterior Cruciate Ligament Graft Fixation Strength"t gave the accompanying data on maximum insertion torque (N• m) and yield load (N), the latter being one
measure of graft strength, for 15 different specimens.
Torque
1.8
2.2
1.9
1.3
2.1
2.2
1.6
2.1
1.2
1.8
2.6
2.5
2.5
1.7
1.6
Load
491
477
598
361
605
671 466
431
384
422
554
577
642
348
446
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Yes, there are more than thirty data values.
No, a normal probability plot of yield load is not quite linear.
Yes, a normal probability plot of yield load is quite quadratic.
No, there is not more than thirty data values.
Yes, a normal probability plot of yield load is quite linear.
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Interpret the interval.
We are 95% confident that the true population average yield load lies below…
Chapter 9 Solutions
Probability and Statistics for Engineering and the Sciences
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