On average is the younger sibling\'s IQ higher than the older sibling\'s IQ? Ele
ID: 3217942 • Letter: O
Question
On average is the younger sibling's IQ higher than the older sibling's IQ? Eleven sibling pairs were given IQ tests. The data is shown below. Younger 104 96 102 125 86 100 90 117 102 110 81 Older 107 87 99 121 90 96 94 117 108 114 72 Assume the distribution of the differences is normal. What can be concluded at the 0.05 level of significance? (d = Younger Sibling IQ - Older Sibling IQ) Helpful Video (Links to an external site.) Hint (Links to an external site.) Textbook Pages (Links to an external site.) H0: mu.gifd = 0 Ha: mu.gifd 0 Test statistic: p-Value = Round your answer to three decimal places. Conclusion: There is evidence to make the conclusion that the
Explanation / Answer
The statistical software output for this problem is:
Paired T hypothesis test:
D = 1 - 2 : Mean of the difference between Younger and Older
H0 : D = 0
HA : D > 0
Hypothesis test results:
Hence,
H0 : D = 0
HA : D > 0
p - value = 0.332
There is not sufficient evidence to conclude that younger sibling's IQ higher than the older sibling's IQ.
Difference Mean Std. Err. DF T-Stat P-value Younger - Older 0.72727273 1.6241972 10 0.44777366 0.3319Related Questions
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