Question: 5. In an experiment to determine whether four different makes of automobiles average the same gasoline mileage, a random sample of two cars of each

5. In an experiment to determine whether four different makes of automobiles average the same gasoline mileage, a random sample of two cars of each make was taken from each of four cities. Each car was then test run on 5 gallons of gasoline of the same brand. The following table gives the number of miles traveled.

Automobile Make Cities A B C D Cleveland 92.3, 104.1 90.4, 103.8 110.2, 115.0 120.0, 125.4 Detroit 96.2, 98.6 91.8, 100.4 112.3, 111.7 124.1, 121.1 San Francisco 90.8, 96.2 90.3, 89.1 107.2, 103.8 118.4, 115.6 Denver 98.5, 97.3 96.8, 98.8 115.2, 110.2 126.2, 120.4 Construct the analysis of variance table. Test the hypothesis of no automobile effect, no city effect, and no interactions. Use α = 0.05.

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