(5 points) There have been numerous studies involving the correlation and differences in IQ's among siblings. Here we co

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5 Points There Have Been Numerous Studies Involving The Correlation And Differences In Iq S Among Siblings Here We Co 1 (28.36 KiB) Viewed 8 times

(5 points) There have been numerous studies involving the correlation and differences in IQ's among siblings. Here we consider a small example of such a study. We will test the claim that older siblings have a higher IQ than younger siblings. The results are depicted for a sample of 10 brothers in the table below. Older brother (x) 85 109 138 103 111 131 Younger brother (y) 81 d = x - y 4 -2 7 (a) Find the test statistic. (b) Test the claim at the 0.01 significance level. Critical value: 105 127 -2 2 Is there sufficient data to support the claim? Yes No (c) Test the claim at the 0.05 significance level. Critical value: IQ score 129 103 95 96 107 85 99 92 91 108 80 4 3 5 -1 5 Is there sufficient data to support the claim? Yes No mean 105 102.5 2.5 8 17.2369112984639 17.4626585732083 3.17104959840674