Fundamentals of Statistics (5th Edition)
Fundamentals of Statistics (5th Edition)
5th Edition
ISBN: 9780134508306
Author: Michael Sullivan III
Publisher: PEARSON
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Chapter B.6, Problem 20AYU

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 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 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

  1. (a) State the null and alternative hypotheses.
  2. (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.
  3. (c) Test the hypothesis that the mean head injury for each vehicle type is the same at the α = 0.01 level of significance.
  4. (d) Draw boxplots of the three vehicle types to support the analytic results obtained in part (c).
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Chapter B.6 Solutions

Fundamentals of Statistics (5th Edition)

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