8.45 Number of children For the question, “How many children have you ever had?” use the GSS website sda.berkeley.edu/GSS with the variable CHILDS to find the sample mean and standard deviation for the 2012 survey. (Use YEAR(2012) as filter and select Summary Statistics under Options.) (Treat the 23 respondents who answered “eight or more” as having eight children.)

a. Show how to obtain a standard error of 0.04 for a random sample of 1971 adults.

b. Construct a 95% confidence interval for the population mean. Can you conclude that the population mean is less than 2.0? Explain.