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

Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola ISBN: 9780321836960 18

Solution for problem 10BSC Chapter 13.5

Elementary Statistics | 12th Edition

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Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola

Elementary Statistics | 12th Edition

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Problem 10BSC

use the Kruskal - Wallis test with the data set from Appendix B?. Passive and Active Smoke? Data Set in Appendix B lists measured cotinine levels from a sample of subjects who smoke, another sample of subjects who do not smoke but are exposed to environmental tobacco smoke, and a third sample of subjects who do not smoke and are not exposed to environmental tobacco smoke. Cotinine is produced when the body absorbs nicotine. Use a 0.01 significance level to test the claim that the three samples are from populations with the same median. What do the results suggest about a smoker who argues that he absorbs as much nicotine as people who don’t smoke? 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

Step-by-Step Solution:

Solution 10BSC Step 1 : Given, In the above example the data consists of the performance IQ scores for a random sample of subjects with medium lead levels in their blood and another random sample of subjects with high lead levels in their blood , so the observations from the same population. Hence first requirement of the Wilcoxon Rank-Sum test satisfied. Each samples contains 12 values, it satisfies the second condition that the each sample should have the same median. Therefore, both the requirements of the Wilcoxon Sum-Rank test satisfies. Hypothesis : H 0 The median of performance IQ scores for a random sample of subjects with medium levels is equal to the median of performance IQ scores for a random sample of subjects with high levels H : The median of performance IQ scores for a random sample of subjects with medium 1 levels is not equal to the median of performance IQ scores for a random sample of subjects with high levels Step 2 : We have 24 observations from Flight 19 and 21. Based on the values we give ranks, if it is least value then rank will be 1 and next to the value will be 2 and so on. If there is a tie then mean of the values is the rank, Ranks for sample 1 are 13, 14, 6, 5, 24, 22, 17.5, 17.5, 3.5, 20, 11, 8. The sum of the ranks for sample 1 = 161.5

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Chapter 13.5, Problem 10BSC is Solved
Step 4 of 4

Textbook: Elementary Statistics
Edition: 12
Author: Mario F. Triola
ISBN: 9780321836960

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

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