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, the test is less sensitive to the assumption that the population of speeds has the same variance for the 4 brands if the sample sizes of the 4 brands are equal.

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, the test is less sensitive to the assumption that the population of speeds has the same variance for the 4 brands if the sample sizes of the 4 brands are equal.

Quizplus · Accepted Answer

When sample sizes are equal across groups, statistical tests like ANOVA are less sensitive to violations of the assumption of homogeneity of variances, making the test more robust.

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

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