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

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

Quizplus · Accepted Answer

The sample sizes being equal make the test less sensitive to the assumption of equal variances because it ensures a balanced comparison between the brands. If the sample sizes were unequal, the comparison could be skewed towards the brand with a larger sample size.

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