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# In Exercise use analysis of variance for | Ch 12.2 - 10BSC ISBN: 9780321836960 18

## Solution for problem 10BSC Chapter 12.2

Elementary Statistics | 12th Edition

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Problem 10BSC

In Exercise? ?use analysis of variance for the indicated test. Pelvis Injury Crash Test Data? Exercise 1-4 use chest deceleration data for three different size categories (small, midsize, large). The data are from a standard crash test and they are listed in Data Set 13 in Appendix B. If we use the pelvis injury measurements (g) with the same three size categories, we get the XLSTAT results shown here. Using a 0.05 significance level, test the claim that the three size categories have the same mean pelvis injury measurement. Does the size of a car appear to affect pelvis injuries? Exercise 1 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 S m a l l M i d s i z e L a r g e 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 ?variance?? Exercise 2 Why Not Test Two at a Time?? Refer to the sample data given in Exercise 1. If we want to test for equality of the three means, why don’t we use three separate hypothesis tests for ?? = ??? , ???1 ? , and? ?2 = ???3 Exercise 3 Test Statistic? What is the value of the test statistic? What distribution is used with the test statistic? Exercise 4 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?

Step-by-Step Solution:

Solution 10BSC Step 1 The given problem explain about pelvis injury crash test data. From the given problem we know that chest deceleration data for three different size categories is small, midsize and large.Then If we use the pelvis injury measurements (g) with the same three size categories. So,The three car categories of null hypothesis have same mean pelvis injuries or = = . 1 2 3 Here, e know that the significance level of . Therefore level of significance =0.05 Then we have to calculate the P-value. The P-value = 0.852 (from the table) Now, We are comparing P-value and the significance level of . Hence the P-value >...

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##### ISBN: 9780321836960

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