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 2008 survey.
a. Show how to obtain a standard error of 0.04 for a random sample of 2020 adults.
b. Construct a 95% confidence interval for the population mean. Can you conclude that the population mean is less than 2.0? Explain.
c. Discuss the assumptions for the analysis in part b and whether that inference seems to be justified.