SCENARIO 11-3
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.

-Referring to Scenario 11-3,based on the Tukey-Kramer procedure with an overall level of significance of 0.05,the retailer would decide that the 3 means other than the mean for Tornado are not significantly different from each other.

Question

SCENARIO 11-3
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.
  
-Referring to Scenario 11-3,based on the Tukey-Kramer procedure with an overall level of significance of 0.05,the retailer would decide that the 3 means other than the mean for Tornado are not significantly different from each other.

Quizplus · Accepted Answer

The Tukey-Kramer procedure is a post-hoc test used to determine which groups have significantly different means after an ANOVA. In this scenario, since the retailer wants to compare the speeds of four brands of bicycles, and there are only 3 samples for each brand, a one-way ANOVA with post-hoc testing is appropriate. The significance level is set to 0.05, which means that there is a 5% chance of making a Type I error. The Tukey-Kramer procedure compares all pairs of means and controls the family-wise error rate to ensure that the overall probability of a Type I error is maintained at 0.05. Based on the results presented in the table, the means for Raleigh, Trek, and Huffy are not significantly different from each other since their confidence intervals overlap. The mean for Tornado is significantly higher than the other brands since its confidence interval does not overlap with the others. Therefore, the answer is A, true.

SCENARIO 11-3 As Part of an Evaluation Program,a Sporting Goods Retailer Wanted