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. (a) State the null and alternative hypotheses. O A. Ho: HCars = Hvans = suvs and H1: all means are different O B. Ho: "Cars = Hvans = Hsuvs and H1: Hcars Ivans HsuVs O C. Ho: HCars = Hvans = Hsuvs and Hy: at least one mean is different[b] Normal probability plots indicate that the sample data come from normal populations. Are the requirements to use the oneway ANOVA procedure satised? 0 A. No, because the largest sample standard deviation is more than twice the smallest sample standard deviation. 0 B. No, because the samples are not independent. 0 C. No, because the populations are not normally distributed. 0 D. Yes. all the requirements for use oi a one-wayANOVA procedure are satised. [c] Test the hypothesis that the mean head injury for each vehicle type is the same at the u = [1.01 level of significance. Use technology to nd the Ftest statistic for this data set. Fo = '1 (Round to three decimal places as needed.) Determine the Pvalue and state the appropriate conclusion below. Since the Pvalue is I:, there is I: evidence to reject the null hypothesis. Th us, we E conclude that the means are different at the c: = 0.01 level of signicance. (Round to four decimal places as needed.) (d) Draw boxplots of the three vehicle types to support the results obtained in part (c). Choose the correct graph below. O A. O B. O C. SUVS Cars SUVS SUVS Vans Vans Vans Cars Cars 700 100 300 500 700 100 300 500 700 100 300 500 Head Injury Head Injury Head InjuryHead Injuries Large Family Cars Passenger Vans Midsize Utility Vehicles (SUVs) 262 148 227 133 236 218 405 340 187 526 697 304 148 550 350 621 469 550 167 319 399