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Solution: use the Kruskal - Wallis test with the data set

Chapter 13, Problem 11BSC

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QUESTION:

use the Kruskal - Wallis test with the data set from Appendix B?. Nicotine in Cigarettes? Refer to Data Set in Appendix B and use the amounts of nicotine (mg per cigarette) in the king-size cigarettes, the 100-mm menthol cigarettes, and the 100-mm nonmenthol cigarettes. The king-size cigarettes are nonfiltered, nonmenthol, and nonlight. The 100-mm menthol cigarettes are filtered and nonlight. The 100-mm nonmen?thol cigarettes are filtered and nonlight. Use a 0.05 significance level to test the claim that the three categories of cigarettes yield the same median amount of nicotine. Given that only the king-size cigarettes are not filtered, do the filters appear to make a difference? Mile 1 3:15 3:24 3:23 3:22 3:21 Mile 2 3:19 3:22 3:21 3:17 3:19 Mile 3 3:34 3:31 3:29 3:31 3:29

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QUESTION:

use the Kruskal - Wallis test with the data set from Appendix B?. Nicotine in Cigarettes? Refer to Data Set in Appendix B and use the amounts of nicotine (mg per cigarette) in the king-size cigarettes, the 100-mm menthol cigarettes, and the 100-mm nonmenthol cigarettes. The king-size cigarettes are nonfiltered, nonmenthol, and nonlight. The 100-mm menthol cigarettes are filtered and nonlight. The 100-mm nonmen?thol cigarettes are filtered and nonlight. Use a 0.05 significance level to test the claim that the three categories of cigarettes yield the same median amount of nicotine. Given that only the king-size cigarettes are not filtered, do the filters appear to make a difference? Mile 1 3:15 3:24 3:23 3:22 3:21 Mile 2 3:19 3:22 3:21 3:17 3:19 Mile 3 3:34 3:31 3:29 3:31 3:29

ANSWER:

Solution 11BSC Step 1 By using = 0.05 level of significance we nee o test the claim that the different size categories have the same median chest deceleration in the standard crash test The Hypotheses can be expressed as H0: the three categories of cigarettes yield the same median amount of nicotine. H : the three categories of cigarettes yield the different median amount of nicotine. 1 All these three samples are combined together to get a big sample. We first order the absolute values of the difference scores and assign rank from 1 through ‘n’ to the smallest through largest absolute values of the difference scores, and assign the mean rank when there are ties in the absolute values of the difference scores. KgNic Rank MnNic Rank FLNic Rank 1.1 48 1.1 48 0.4 3 1.7 73.5 0.8 17 1 33.5 1.7 73.5 1 33.5 1.2 61 1.1 48 0.9 28 0.8 17 1

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