Exhibit 13.2 A researcher with Ministry of Transportation is commissioned to study the drive times to work (one-way)for U.S.cities.The underlying hypothesis is that average commute times are different across cities.To test the hypothesis,the researcher randomly selects six people from each of the four cities and records their one-way commute times to work.Refer to the below data on one-way commute time (in minutes)to work.Note that the grand mean is 36.625. Refer to Exhibit 13.2.Based on the sample standard deviation,the one-way ANOVA assumption which is likely not met is:

Question

Exhibit 13.2 A researcher with Ministry of Transportation is commissioned to study the drive times to work (one-way)for U.S.cities.The underlying hypothesis is that average commute times are different across cities.To test the hypothesis,the researcher randomly selects six people from each of the four cities and records their one-way commute times to work.Refer to the below data on one-way commute time (in minutes)to work.Note that the grand mean is 36.625.  Refer to Exhibit 13.2.Based on the sample standard deviation,the one-way ANOVA assumption which is likely not met is:

Quizplus · Accepted Answer

The assumption that the population standard deviations are equal is likely not met because the sample standard deviations in each group differ significantly (for example, the standard deviation for City 1 is 9.443, while the standard deviation for City 3 is only 3.865).