Problem 4BSC

In Exercise, 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 |

P-Value If we use a 0.05 significance level in analysis of variance with the sample data given in Exercise, what is the P-value? What should we conclude?

ANOVA

a. What characteristic of the data above indicates that we should use one-way analysis of variance?

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 variance7.

Solution 4BSC

SPSS output labels P-value as significance value. So, the P-value for given data is .061, as in table 2.

The P-value is > 0.05, we fail to reject the null hypothesis that....