Elementary Statistics
Elementary Statistics
12th Edition
ISBN: 9780321836960
Author: Mario F. Triola
Publisher: PEARSON
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Chapter 12.2, Problem 1BSC

In Exercises 1-4, use the following listed chest deceleration measurements (in g, where g is the force of gravity) from samples of small, midsize, and large cars. (These values are from Data Set 13 in Appendix B.)Also shown (on the next page) are the SPSS results for analysis of variance. Assume that we plan to use a 0.05 significance level to test the claim that the different size categories have the same mean chest deceleration in the standard crash test.

Chest Deceleration Measurements (g) from a Standard Crash Test

Small 44 39 37 54 39 44 42
Midsize 36 53 43 42 52 49 41
Large 32 45 41 38 37 38 33

SPSS

Sum of Squares d Mean Square F Ski
Between Groups 200.857 2 100.429 3 283 .06
Within Group 049.714 18 30.540
Total 750.571 20

1. ANOVA

  1. a. What characteristic of the data above indicates that we should use one-way analysis of variance?
  2. b. If the objective is to test the claim that the three size categories have the same mean chest deceleration, why is the method referred to as analysis of variance?
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