The 2012 General Social Survey asked, “What do you think is the ideal number of children for a family to have?” The 590 females who gave a numeric response from 0 to 6 had a median of 2, mean of 2.56, and standard deviation of 0.84.
a. What is the point estimate of the population mean?
b. Find the standard error of the sample mean.
c. The 95% confidence interval is (2.49, 2.62). Interpret.
d. Is it plausible that the population mean μ = 2? Explain.