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?(C) below.

(c) Test the hypothesis that the mean head injury for each vehicle type is the same at the o =0.01 level of significance. Use technology to find the F-test statistic for this data set. Fo =(Round to three decimal places as needed.) Determine the P-value and state the appropriate conclusion below. Since the P-value is , there is evidence to reject the null hypothesis. Thus, we conclude that the means are different at the