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Question: an auto rental firm is using 15 identical motors that...

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An auto rental firm is using 15 identical motors that are adjusted to run at a fixed speed to test 3 different brands of gasoline. Each brand of gasoline is assigned to exactly 5 of the motors. Each motor runs on 10 gallons of gasoline until it is out of fuel. The following represents the total mileages obtained by the different motors: 4. Gas 1: 220 251 226 246 260 Gas 2: 244 235 232 242 225 Gas 3: 252 272 250238 256 (a) compute the average and the variance of each gas type (3pt) (b) Test the hypothesis that the average mileage obtained is not affected by the type of gas used. Use the 5 percent level of significance. (5pt)

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