Instruction 11-3
As part of an evaluation program, a sporting goods retailer wanted to compare the downhill coasting speeds of four brands of bicycles. She recorded three trials of each brand and determined their maximum downhill speeds. The results are presented in kilometres per hour in the table below.
$$\begin{array} { | l | l | l | l | l | }
\hline \text { Trial } & \text { Barth } & \text { Tornado } & \text { Reiser } & \text { Shaw } \
\hline 1 & 43 & 37 & 41 & 43 \
\hline 2 & 46 & 38 & 45 & 45 \
\hline 3 & 43 & 39 & 42 & 46 \
\hline
\end{array}$$
-Referring to Instruction 11-3,based on the Tukey-Kramer procedure with an overall level of significance of 0.05,the retailer would decide that the three means other than the mean for Tornado are not significantly different from each other.

Question

Instruction 11-3
As part of an evaluation program, a sporting goods retailer wanted to compare the downhill coasting speeds of four brands of bicycles. She recorded three trials of each brand and determined their maximum downhill speeds. The results are presented in kilometres per hour in the table below.
 $$\begin{array} { | l | l | l | l | l | } 
\hline \text { Trial } & \text { Barth } & \text { Tornado } & \text { Reiser } & \text { Shaw } \
\hline 1 & 43 & 37 & 41 & 43 \
\hline 2 & 46 & 38 & 45 & 45 \
\hline 3 & 43 & 39 & 42 & 46 \
\hline
\end{array}$$
-Referring to Instruction 11-3,based on the Tukey-Kramer procedure with an overall level of significance of 0.05,the retailer would decide that the three means other than the mean for Tornado are not significantly different from each other.

Quizplus · Accepted Answer

The Tukey-Kramer procedure is used for pairwise comparisons and is used when ANOVA shows that there are significant differences between means. However, in this problem, the question specifically asks if "the three means other than the mean for Tornado are not significantly different from each other." This means we are comparing more than two means and need a different procedure such as the Bonferroni correction. However, intuitively, looking at the table, we can see that the means for Pegasus, Lightning, and Hurricane are all quite close together, and the mean for Tornado is noticeably lower. Therefore, it is likely that the retailer would decide that the means for the three brands (Pegasus, Lightning, and Hurricane) are not significantly different from each other but different from the mean for Tornado. Thus, the statement is true, and the answer is A.

Instruction 11-3 as Part of an Evaluation Program, a Sporting

Instruction 11-3
as Part of an Evaluation Program, a Sporting