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use the Kruskal - Wallis test with the

Chapter 13, Problem 11 BSC

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QUESTION:

Problem 11BSC

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 nonmen­thol 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:

Problem 11BSC

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 nonmen­thol 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:

Soultio 11BSC

The value of the test statistic is,

Since each sample has 25 observations, the distributions of

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