Sibling IQ Scores: There have been numerous studies involving the correlation an
ID: 3229078 • Letter: S
Question
Sibling IQ Scores: 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, on average, older siblings have a higher IQ than younger siblings. The results are depicted for a sample of 10 siblings in the table below. Test the claim at the 0.05 significance level. Pair ID Older Sibling IQ (x) Younger sibling IQ (y) difference (d=x-y) 1 82 80 2 2 85 88 -3 3 89 85 4 4 90 90 0 5 97 93 4 6 102 100 2 7 103 103 0 8 108 107 1 9 112 106 6 10 119 111 8 Mean 98.7 96.3 2.4 s 12.2 10.5 3.2 What is the test Statistic? Use the software to get the P-value of the test statistic?
Explanation / Answer
The statistical software output for this problem is:
One sample T hypothesis test:
: Mean of variable
H0 : = 0
HA : > 0
Hypothesis test results:
Hence,
Test statistic = 2.369
P - value = 0.021
Variable Sample Mean Std. Err. DF T-Stat P-value var5 2.4 1.0132456 9 2.3686261 0.021Related Questions
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