10.19 Ideal number of children In 2014, the GSS asked, “What is the ideal number of children for a family to have?” For those giving a numerical response (and treating the response

“7 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 Sample Size Mean Standard Deviation Women 921 2.54 0.89 Men 754 2.50 0.85