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, Problem 82SE
Acrylic bone cement is commonly used in total joint arthroplasty as a grout that allows for the smooth transfer of loads from a metal prosthesis to bone structure. The paper “Validation of the Small-Punch Test as a Technique for Characterizing the Mechanical Properties of Acrylic Bone Cement” (J. of Engr. in Med., 2006: 11–21) gave the following data on breaking force (N):
| Temp | Medium | n |
|
s |
| 22° | Dry | 6 | 170.60 | 39.08 |
| 37° | Dry | 6 | 325.73 | 34.97 |
| 22° | Wet | 6 | 366.36 | 34.82 |
| 37° | Wet | 6 | 306.09 | 41.97 |
Assume that all population distributions are normal.
a. Estimate true average breaking force in a dry medium at 37° in a way that conveys information about reliability and precision, and interpret your estimate.
b. Estimate the difference between true average breaking force in a dry medium at 37° and true average force at the same temperature in a wet medium, and do so in a way that conveys information about precision and reliability. Then interpret your estimate.
c. Is there strong evidence for concluding that true average force in a dry medium at the higher temperature exceeds that at the lower temperature by more than 100 N?
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Chapter 9 Solutions
Probability and Statistics for Engineering and the Sciences
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