The Insurance Institute for Highway Safety conducts experiments in which cars are crashed into a fixed barrier

Question:

The Insurance Institute for Highway Safety conducts experiments in which cars are crashed into a fixed barrier at 40 mph. 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. Suppose 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. The researcher wants to determine if the means for head injury for each class of vehicle are different. The following data were collected from the institute's study.

Large Family Cars Head Injury (hic) Hyundai XG300 264 Ford Taurus 134 Buick LeSabre 409 Chevrolet Impala 530 Chrysler 30

(a) State the null and alternative hypotheses.
(b) Verify that the requirements to use the one-way ANOVA procedure are satisfied. Normal probability plots indicate that the sample data come from normal populations.
(c) Test the hypothesis that the mean head injury for each vehicle type is the same at the a = 0.01 level of significance.
(d) Draw boxplots of the three vehicle types to support the analytic results obtained in part (c).