TABLE 11-6
As part of an evaluation program, a sporting goods retailer wanted to compare the downhill coasting speeds of 4 brands of bicycles. She took 3 of each brand and determined their maximum downhill speeds. The results are presented in miles per hour in the table below.
$$\begin{array} { c c c c c }
\hline \text { Trial } & \text { Barth } & \text { Tornado } & \text { Reiser } & \text { Shaw } \
\hline 1 & 43 & 37 & 41 & 43 \
2 & 46 & 38 & 45 & 45 \
3 & 43 & 39 & 42 & 46
\end{array}$$
-Referring to Table 11-6, based on the Tukey-Kramer procedure with an overall level of significance of 0.05, the retailer would decide that the mean speed for the Tornado brand is significantly different from each of the mean speeds for other brands.

Question

TABLE 11-6
As part of an evaluation program, a sporting goods retailer wanted to compare the downhill coasting speeds of 4 brands of bicycles. She took 3 of each brand and determined their maximum downhill speeds. The results are presented in miles per hour in the table below.
 $$\begin{array} { c c c c c } 
\hline \text { Trial } & \text { Barth } & \text { Tornado } & \text { Reiser } & \text { Shaw } \
\hline 1 & 43 & 37 & 41 & 43 \
2 & 46 & 38 & 45 & 45 \
3 & 43 & 39 & 42 & 46
\end{array}$$
-Referring to Table 11-6, based on the Tukey-Kramer procedure with an overall level of significance of 0.05, the retailer would decide that the mean speed for the Tornado brand is significantly different from each of the mean speeds for other brands.

Quizplus · Accepted Answer

The Tukey-Kramer procedure is a multiple comparison procedure that can be used to compare the means of multiple groups. In this case, the retailer is comparing the mean speeds of 4 brands of bicycles. The overall level of significance is 0.05, which means that the retailer is willing to accept a 5% chance of making a Type I error (i.e., concluding that there is a significant difference when there is actually no difference).The Tukey-Kramer procedure is a step-down procedure, which means that it starts by testing the most extreme comparisons first. In this case, the most extreme comparisons are between the Tornado brand and the other brands. The Tukey-Kramer procedure finds that the mean speed for the Tornado brand is significantly different from each of the mean speeds for the other brands at the 0.05 level of significance.

TABLE 11-6 as Part of an Evaluation Program, a Sporting

TABLE 11-6
as Part of an Evaluation Program, a Sporting