. A survey asked: "What do you think is the ideal number of children for a family to have?" The 497 women who responded had a median of 2, mean of 3.02, and standard deviation of 1.81. (a) Report the point estimate of the population mean. (b) Find and interpret the standard error of the sample mean. (c) The 95% confidence interval is (2.9, 3.2). Interpret. (d) Calculate and interpret the 99% and 99.9% confidence intervals.