AGeneral Social Survey asked, “What do you think is the ideal number of children for a family to have?” The 497 females who responded had a median of 2, mean of 3.02, and standard deviation of 1.81.

(a) Find and interpret the standard error of the sample mean.

(b) The 95% confidence interval is (2.9, 3.2). Interpret.

(c) Is it plausible that the population mean = 2.0? Explain.