In 2014, the GSS asked, What is the ideal number of children for a family to have?

In 2014, the GSS asked, €œWhat is the ideal number of children for a family to have?€ For those giving a numerical response (and treating the response €œ7 or more€ as 7), the following table shows summary statistics. (You can reproduce these data by typing CHLDIDEL(0€“7) as the row variable, SEX as the column variable, and YEAR(2014) as the selection filter on the GSS website sda.berkeley.edu/GSS.)

a. Find the standard error for the difference in the sample means.
b. The sample size is large, resulting in degrees of freedom in excess of 100, so the t-score is essentially the same as the z-score. Using this, find and interpret the 95% confidence interval for the difference between the population means for females and males.

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Ideal Number of Children Gender Standard Deviation Sample Size Mean Women 921 754 2.54 2.50 0.89 0.85 Men