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Effect of Lead on IQ Score Listed below are full IQ scores

Chapter 13, Problem 1BSC

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QUESTION:

Effect of Lead on IQ Score? Listed below are full IQ scores from simple random samples of subjects with low lead exposure, medium lead exposure, and high lead exposure (from Data Set in Appendix B). In using the Kruskal-Wallis test, we must rank all of the data com?bined, then we must find the sum of the ranks for each- sample. Find the sum of the ranks for each of the three samples. H i g h Med Lo L ium w e Lea Le a d ad d Leve Le L l vel e v e l 8 70 72 2 9 85 90 3 8 86 92 5 76 71 7 5 8 84 86 5 79 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:

Effect of Lead on IQ Score? Listed below are full IQ scores from simple random samples of subjects with low lead exposure, medium lead exposure, and high lead exposure (from Data Set in Appendix B). In using the Kruskal-Wallis test, we must rank all of the data com?bined, then we must find the sum of the ranks for each- sample. Find the sum of the ranks for each of the three samples. H i g h Med Lo L ium w e Lea Le a d ad d Leve Le L l vel e v e l 8 70 72 2 9 85 90 3 8 86 92 5 76 71 7 5 8 84 86 5 79 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 1BSC Step 1 Listed below are the full IQ scores from simple random samples of subjects with low lead exposure, medium lead exposure, and high lead exposure (from Data Set in Appendix B). Low Lead Medium Lead Level High Lead Level Level 70 72 82 85 90 93 86 92 85 76 71 75 84 86 85 79 All these three subjects with low lead exposure, medium lead exposure, and high lead exposure samples are combined together to get a big sample. Hence there are 16 combined sample values are assigned the next step is to rank the difference scores. 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. The smallest value is assigned as the rank 1, here 70 is the smallest value and so on up to the largest value 93 is assigned as rank 16. Low Lead Medium Lead Level High Lead Level Level 70(1) 72(3) 82(7) 85(10) 90(14) 93(16) 86(12.5) 92(15) 85(10) 76(5) 71(2) 75(4) 84(8) 86(12.5) 85(10) 79(6)

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