The General Social Survey has asked subjects, “How long have you lived in the city, town, or community where you live now?” The responses of 1415 subjects in one survey had a mode of less than 1 year, a median of 16 years, a mean of 20.3 and a standard deviation of 18.2.
a. Do you think that the population distribution is normal? Why or why not?
b. Based on your answer in part a, can you construct a 95% confidence interval for the population mean? If not, explain why not. If so, do so and interpret.