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Artificial Hip Joints Consist of a Ball and Socket  Diameter  Head Roughness 1619.825.917.523.22431.933.027.73026.628.821.2\begin{array}{ccccc}\hline \text { Diameter } &{\text { Head Roughness }} \\\hline 16 & 19.8 & 25.9 & 17.5 & 23.2 \\24 & 31.9 & 33.0 & 27.7 & \\30 & 26.6 & 28.8 & 21.2 & \\\hline\end{array}

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Question 60
Multiple Choice
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Multiple Choice

Artificial hip joints consist of a ball and socket. As the joint wears, the ball (head) becomes rough. Investigators performed wear tests on metal artificial; hip joints. Joints with several different diameters were tested. The following table presents measurements of head roughness (in nanometers).
 Diameter  Head Roughness 1619.825.917.523.22431.933.027.73026.628.821.2\begin{array}{ccccc}\hline \text { Diameter } &{\text { Head Roughness }} \\\hline 16 & 19.8 & 25.9 & 17.5 & 23.2 \\24 & 31.9 & 33.0 & 27.7 & \\30 & 26.6 & 28.8 & 21.2 & \\\hline\end{array}
Perform the Tukey-Kramer test to determine which pairs of means, if any, differ. Use the α=0.05\alpha = 0.05 level of significance.


A) μ16μ24\mu _ { 16 } \neq \mu _ { 24 }
B) μ16μ24,μ16μ30\mu _ { 16 } \neq \mu _ { 24 } , \mu _ { 16 } \neq \mu _ { 30 }
C) μ16μ24,μ24μ30\mu _ { 16 } \neq \mu _ { 24 } , \mu _ { 24 } \neq \mu _ { 30 }
D) There is not enough evidence to conclude that any of the means differ.

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