Artificial Hip Joints Consist of a Ball and Socket Perform the Tukey-Kramer Test to Determine Which Pairs of Means

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) .
$\begin{array}{ccccc}\hline \text { Diameter } &{\text { Head Roughness }} \\\hline 16 & 19.8 & 25.9 & 17.5 & 23.2 \\24 & 31.9 & 33.0 & 27.7 & \\30 & 26.6 & 28.8 & 21.2 & \\\hline\end{array}$
Perform the Tukey-Kramer test to determine which pairs of means, if any, differ. Use the $\alpha = 0.05$ level of significance.

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