A highway safety institution conducts experiments in which cars are crashed into a fixed barrier at 40 mph. In the institute's 40-mph offset test, 40% of the total width of each vehicle strikes a barrier on the driver's side. The barrier's deformable face is made of aluminum honeycomb, which makes the forces in the test similar to those involved in a frontal offset crash between two vehicles of the same weight, each going just less than 40 mph. You are in the market to buy a family car and you want to know if the mean head injury resulting from this offset crash is the same for large family cars, passenger vans, and midsize utility vehicles (SUVs). The data in the accompanying table were collected from the institute's study. Complete parts (a) through (d) below. Eff Click the icon to view the data table.X Head Injuries Large Family Cars Passenger Vans Midsize Utility Vehicles (SUVs) 261 148 223 134 240 215 408 340 188 530 686 309 150 556 354 622 470 549 165 323 400(c) Test the hypothesis that the mean head injury for each vehicle type is the same at the a = 0.01 level of significance. Use technology to find the F-test statistic for this data set. F = (Round to three decimal places as needed.)