Student Solutions Manual for Devore's Probability and Statistics for Engineering and the Sciences, 9th
9th Edition
ISBN: 9798214004020
Author: Jay L. Devore
Publisher: Cengage Learning US
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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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1.8
2.2
1.9
1.3
2.1
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1.6
2.1
1.2
1.8
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477
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671 466
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384
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348
446
(a) Is it plausible that yield load is normally distributed?
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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.
(b) Estimate true average yield load by calculating a confidence interval with a confidence level of 95%. (Round your answer to two decimal places.)
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21 16 29 35 42 24 24 25
a. Calculate the 99% confidence interval for the mean of the electrode coverage thickness distribution. Assume Normality.
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The article "Experimental Measurement of Radiative Heat Transfer in Gas-Solid
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electromotive force readings of the radiometer (in volts) and the radiation flux (in kilowatts
per square meter). The results (read from a graph) are presented in the following table.
Heat flux (y)
15 31 51 55 67 89
Signal output (x) 1.08 2.42 4.17 4.46 5.17 6.92
Compute the least-squares line for predicting heat flux from the signal output.
If the radiometer reads 3.00 V, predict the heat flux.
If the radiometer reads 8.00 V, should the heat flux be predicted? If so, predict it. If
not, explain why.
C.
Chapter 9 Solutions
Student Solutions Manual for Devore's Probability and Statistics for Engineering and the Sciences, 9th
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