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 second born 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.

Firstborn
104	82	102	96	129
89	114	107	89	103

Secondborn
103	103	91	113	102
103	92	90	114	113

Can you conclude that there is a difference in the mean IQ between firstborn and secondborn sons? Use a 0.01 significance level. Assume the firstborn sons are group 1.

• What is the value of the test statistic for this test? Round to three decimal places as necessary.

• What is the p-value for this test? Round to three decimal places as necessary. Assume the firstborn sons are group 1.