If I conducted an experiment in which cars are crashed into a fixed barrier at 40 mph. 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. I am in the market to buy a family car and I need 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 table below was collected from the?experiment. What formula would I use to state the null and alternative hypotheses, and then test the hypothesis that the mean head injury for each vehicle type is the same at the α=0.01 level of significance and find the? F-test statistic for this data set and determine the P-value?

Large family cars       Passenger Vans        Midsize Utility Vehicles (SUVs)

        261                            148                                     223

        133                            236                                     218

        407                            341                                     187

        534                            690                                      304

        150                            554                                      352

        621                            471                                      553

        165                            322                                      398