Concept explainers
Crash Data 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
Large Family Cars | Head Injury (hic) |
Hyundai XG300 | 264 |
Ford Taurus | 134 |
Buick LeSabre | 409 |
Chevrolet Impala | 530 |
Chrysler 300 | 149 |
Pontiac Grand Prix | 627 |
Toyota Avalon | 166 |
Passenger Vans | Head Injury (hic) |
Toyota Sienna | 148 |
Honda Odyssey | 238 |
Ford Freestar | 340 |
Mazda MPV | 693 |
Chevrolet Uplander | 550 |
Nissan Quest | 470 |
Kia Sedona | 322 |
Midsize Utility Vehicles | Head Injury (hic) |
Honda Pilot | 225 |
Toyota 4Runner | 216 |
Mitsubishi Endeavor | 186 |
Nissan Murano | 307 |
Ford Explorer | 353 |
Kia Sorento | 552 |
Chevy Trailblazer | 397 |
Source: Insurance Institute for Highway Safety
- (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 α = 0.01 level of significance.
- (d) Draw boxplots of the three vehicle types to support the analytic results obtained in part (c).
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Fundamentals of Statistics (5th Edition)
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