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Artifical joints consist of a ceramic ball mounted on a

Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi ISBN: 9780073401331 38

Solution for problem 11E Chapter 9.3

Statistics for Engineers and Scientists | 4th Edition

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Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi

Statistics for Engineers and Scientists | 4th Edition

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Problem 11E

 Problem 11E

Artifical joints consist of a ceramic ball mounted on a taper.The article “Friction in Orthopaedic Zirconia Taper Assemblies”(W.Macdonald,A.Aspenberg,et al.,proceedings of the Institution of Mechanical Engineers,2000:685-692)present data on the coefficient of friction for a push-on load of 2kN for taper assemblies made from two zirconium alloys and employing three different neck lengths.Five measurements were made for each combination of material and neck length.The result presented in the following table are consistent with the cell means and standard deviation presented in the article.

Taper Material

Neck Length

Coefficient of friction

CPTi-ZrO2

Short

0.254

0.195

0.281

0.289

0.220

CPTi-ZrO2

Medium

0.196

0.220

0.185

0.259

0.197

CPTi-ZrO2

Long

0.329

0.481

0.320

0.296

0.178

TiAlloy-ZrO2

Short

0.150

0.118

0.158

0.175

0.131

TiAlloy-ZrO2

Medium

0.180

0.184

0.154

0.156

0.177

TiAlloy-ZrO2

Long

0.178

0.198

0.201

0.199

0.210

 

a.Compute the main effect and interaction.

b. Construct an ANOVA table. You may give ranges for the P-values.

c. Is the additive model plausible? Provide the value of a test statistic ,its null distribution and the P-value.

d. Can the effect of material  on the coefficient of frictionbe described by interpreting the main effects of material? If so, interpret the main effects. If not, explain why not.

e. Can the effect of neck length on the coefficient of friction be described by interpreting the main effects of neck length? If so, interpret the main effects, using multiple comparisons at the 5% level if necessary. If not, explain why not.

Step-by-Step Solution:
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SMAD 150 Notes 9/14 Media Effects (Potter, Chapters 14, 13, and Appendix B) Key Ideas: ● Media effects are constantly occurring ● Media work with other factors ● You can control the effects process ● When we take a four­dimensional perspective (timing, type, valence, intentionality), we can better appreciate the broad range of media effects More to do with...

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Chapter 9.3, Problem 11E is Solved
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Textbook: Statistics for Engineers and Scientists
Edition: 4
Author: William Navidi
ISBN: 9780073401331

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