A researcher with the Ministry of Transportation is commissioned to study the dr

Question

A researcher with the 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 times (in minutes) to work. Note that the grand mean is 36.625 Charlotte 25 30 35 10 50 Tucson 25 30 19 30 10 35 24.833 82.167 Houston Akron 10 15 15 10 65 105 85 90 74.167 524.167 10 10.833 14.167 36667 436.667 Which of the following is the mean square for treatments? O 13,281.79 4427.26 5285.83 O 18,567.63

Explanation / Answer

Ans:

ANOVA Table:

MS(between)=MS(treatments)=4427.36

4427.26 is correct answer.

SS df MS F p-value Between 13282.09 3 4427.364 16.751 0 Within 5286.038 20 264.3019 Total 18568.13 23

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