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 robust to the violation of the assumption that the population of speeds is normally distributed.

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 robust to the violation of the assumption that the population of speeds is normally distributed.

Quizplus · Accepted Answer

The test is robust to violations of normality, especially with small sample sizes, due to the Central Limit Theorem, which allows for approximate normality in the distribution of sample means.

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

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