Question
Are you smarter than your older brother? In a study of birth order and intelligence, IQ...
Are you smarter than your older brother? In a study of birth order and intelligence, IQ tests were given to 18- and 19-year-old men to estimate the size of the difference, if any, between the mean IQs of firstborn sons and of secondborn sons. The following data for 10 firstborn sons and 10 second born sons are consistent with the means and standard deviations reported in the article. It is reasonable to assume that the samples come from populations that are approximately normal.
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(a) Construct a 99% confidence interval for the difference in mean IQ between firstborn and secondborn sons. Let μ1 denote the mean IQ of the firstborn sons. Use the table.
(b) Based on the confidence interval, is it reasonable to believe that firstborn sons and secondborn sons may have the same mean IQ?
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