Solution Found!
use the Kruskal - Wallis test. Car Crash Measurements Use
Chapter 13, Problem 7BSC(choose chapter or problem)
use the Kruskal - Wallis test?. Car Crash Measurements? 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.) Use a 0.05 significance level to test the claim that the different size categories have the same median chest deceleration in the standard crash test. Do the data suggest that larger cars are safer? Small??44?39?37?54?39?44?42 Midsize?36?53?43?42?52?49?41 Large??32?45?41?38?37?38?33
Questions & Answers
QUESTION:
use the Kruskal - Wallis test?. Car Crash Measurements? 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.) Use a 0.05 significance level to test the claim that the different size categories have the same median chest deceleration in the standard crash test. Do the data suggest that larger cars are safer? Small??44?39?37?54?39?44?42 Midsize?36?53?43?42?52?49?41 Large??32?45?41?38?37?38?33
ANSWER:Solution 7BSC Step 1 Kruskal-Wallis test satisfies the following two requirements. 1. Sample data must be independent and drawn according to simple random sampling. 2. Each sample must contain minimum of five entries. By using the data from exercise, we see that the samples are drawn at random, where the three samples are independent to each other. Hence the first requirement is satisfied. Now, we see that the sample size of Small is 7, sample size of Midsize is 7 and sample size of Large is 7. Hence the second requirement is satisfied. Therefore, the two requirements of Kruskal-Wallis test are satisfied.