4.32. According to recent General Social Surveys (vari- able PARTNERS), in the United States the distri- bution of y-number of sex partners you have had in the past 12 months has a mean of about 1.1 and a standard deviation of about 1.1. Suppose these are the population mean and standard deviation.

(a) Does y have a normal distribution? Explain.

(b) For a random sample of 2400 adults (the size of the 2006 GSS for this variable), describe the sampling distribution of y by giving its shape, mean, and standard error.

(c) Refer to (b). Report an interval within which the sample mean would almost surely fall.