DATAfile: CarMileage A statistical program is recommended. The Department of Energy and the U.S. Environmental Protection Agency's 2012 Fuel Economy Guide provides fuel efficiency data for 2012 model year cars and trucks.+ The file named CarMileage provides a portion of the data for 309 cars. The column labeled Size identifies the size of the car (Compact, Midsize, and Large) and the column labeled Hwy MPG shows the fuel efficiency rating for highway driving in terms of miles per gallon. Use a = 0.05 and test for any significant difference in the mean fuel efficiency rating for highway driving among the three sizes of cars. (Hint: you will need to re-organize the data to create Indicator variables for the qualitative data). State the null and alternative hypotheses. O Ho: Bo = 0 Ha: Bo + 0 O Ho: Po # 0 Ha: Bo = 0 O Ho: P1 = P2 = 0 H : One or more of the parameters is not equal to zero. O Ho: One or more of the parameters is not equal to zero. Ha: P1 = P2 = 0 Find the value of the test statistic for the overall model. (Round your answer to two decimal places.) Find the p-value for the overall model. (Round your answer to three decimal places.) p-value = State your conclusion. O Reject Ho. We cannot conclude that the mean fuel efficiency rating for highway driving is not the same among the three sizes of cars. Do not reject Ho. We conclude that the mean fuel efficiency rating for highway driving is not the same among the three sizes of cars. O Reject Ho. We conclude that the mean fuel efficiency rating for highway driving is not the same among the three sizes of cars. Do not reject Ho. We cannot conclude that the mean fuel efficiency rating for highway driving is not the same among the three sizes of cars