Some research suggests that women perform better than men in school but men scor

Question

Some research suggests that women perform better than men in school but men score higher on standardized tests. The table below presents data on a measure of school performance, grade point average (GPA), and a standardized test, IQ, for 78 seventh-grade students. Do these data lend further support to the previously found gender differences? Give graphical displays of the data and describe the distributions. Use significance tests and confidence intervals to examine this question, and prepare a short report summarizing your findings. (Assume that the difference between the genders is calculated by using ?boys ? ?girls.) 1-table-09.gif Find the 95% confidence interval for the difference in GPA between boys and girls. (Round your answers to three decimal places.) Carry out a significance test to test if girls perform better than boys with respect to GPA.(Use ? = 0.05. Round your value for t to three decimal places and round your P-value to four decimal places.) t= P-value= Find the 95% confidence interval for the difference in IQ between boys and girls. (Round your answers to three decimal places.) Carry out a significance test to test if boys perform better than girls with respect to IQ from a standardized test. (Use ? = 0.05. Round your value for t to three decimal places and round your P-value to four decimal places.)

Explanation / Answer

Please note that there is no table provided. But providing with you with the formula for 95% c.i for difference in mean of 2 sample.

SE(ybar g-ybar b)=sqrt [SE^2(ybar g)+SE^2(ybar b)]=sqrt [sg^2/ng+sb^2/nb]

95% c.i=(ybar g-ybar b)+-t*SE(ybar g-ybar b)

For 2-sample t test, the test statistic is as follows:

t=(ybar g-ybar b)-0/SE(ybar g-ybar b)

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