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?