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.

A)Test the hypothesis that the mean head injury for each vehicle type is the same at the a=0.01level of significance. Use technology to find the F-test statistic for this data set.

(B) Determine the P value

Data:

Large Family Cars Passenger Vans Midsize_Utility_Vehicles

262 149227

134 239 214

412 337 186

529 696 306

149 549 355

626 466 554

165 322395