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 valid only if the population of speeds has the same variance for the 4 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, the test is valid only if the population of speeds has the same variance for the 4 brands.

Quizplus · Accepted Answer

The assumption of equal variances (homogeneity of variance) is necessary for certain statistical tests, like ANOVA, to be valid.

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

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