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. Click the icon to view the data table. (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. 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 a = 0.01 level of significance. (Round to four decimal places as needed.) Head injuries (d) Draw boxplots of the three vehicle types to support the results obtained in part (c). Choose the correct graph below. O A. OB. Large Family Cars Passenger Vans Midsize Utility Vehi 263 149 224 Cars SUVS 133 240 218 SUVS Vans 410 340 186 Vans Cars 527 695 309 150 550 351 100 300 500 700 100 300 500 700 Head Injury Head Injury 627 474 551 168 320 394 Print