A recent GSS asked, “How many days in the past 7 days have you felt sad?” The 816 women who responded had a median of 1, mean of 1.81, and standard deviation of 1.98.

The 633 men who responded had a median of 1, mean of 1.42, and standard deviation of 1.83.

(a) Find a 95% confidence interval for the population mean for women. Interpret.

(b) Explain why the ¯y and s values suggest that this variable does not have a normal distribution. Does this cause a problem with the confidence interval method in (a)?

Explain.