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 is greater than the mean IQ of secondborn sons? Let μ1 denote the mean IQ of firstborn sons and μ2 denote the mean IQ of secondborn sons. Use the α = 0.01 level and the P-value method with the table.
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
| Firstborn | ||||
|---|---|---|---|---|
|
128
|
101
|
128
|
112
|
121
|
|
105
|
122
|
98
|
106
|
108
|
| Secondborn | ||||
|---|---|---|---|---|
|
121
|
125
|
110
|
107
|
114
|
|
93
|
80
|
94
|
91
|
83
|
Part(a):
State the appropriate null and alternate hypotheses.
|
(b) Compute the test statistic.
(c) How many degrees of freedom are there, using the simple method?
(d) Compute the P-value.
(e) Determine whether to reject H0.
(f) State a conclusion.
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