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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.

Which of the following is the sum of squares due to treatments?

rev: 08_29_2014_QC_52850

5,285.83 13,281.79 18,567.63 4,427.26

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