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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

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 secondborn sons. The following data for 10 firstborn sons and 10

secondborn 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. Can you conclude that the mean IQ of firstborn sons differs from the mean IQ of secondborn sons? Let 1

denote the mean IQ of firstborn sons and

2

denote the mean IQ of secondborn sons. Use the =0.10 level and the P-valuemethod with the TI-84 Plus calculator.

Firstborn
99 91 99 82 91
117 129 88 104 84

Secondborn
109 109 111 99 109
113 119 114 99 127

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Part 1 of 4

State the appropriate null and alternate hypotheses.

H0 :
H1 :

This is a (Choose one) test. right , left, or two tailed test?

Part 2 Find the P value.

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