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.The conclusion for the hypothesis test 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.The conclusion for the hypothesis test is:

Quizplus · Accepted Answer

The null hypothesis is that the mean commute times are equal across all four cities. The alternative hypothesis is that they are not equal. The ANOVA test is used to compare the means of multiple groups. From the ANOVA table in Exhibit 13.2, we can see that the p-value is less than 0.05, which indicates that the null hypothesis should be rejected. Therefore, we can conclude that not all mean commute times are equal.