In Exercises 14, 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 ANOVA a. What characteristic of the data above indicates that we should use oneway 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 variance?
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Textbook Solutions for Elementary Statistics
Question
In Exercises 14, 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 36 P Value If we use a 0.05 significance level in analysis of variance with the sample data given in Exercise 1, what is the Pvalue? What should weconclude?
Solution
The first step in solving 12-2 problem number 4 trying to solve the problem we have to refer to the textbook question: In Exercises 14, 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 36 P Value If we use a 0.05 significance level in analysis of variance with the sample data given in Exercise 1, what is the Pvalue? What should weconclude?
From the textbook chapter One-Way ANOVA you will find a few key concepts needed to solve this.
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