According to a recent Current Population Reports, the population distribution of number of years of education for self-employed individuals in the United States has a mean of 13.6 and a standard deviation of 3.0.
a. Identify the random variable X whose population distribution is described here.
b. Find the mean and standard deviation of the sampling distribution of for a random sample of size 100. Interpret the results.
c. Repeat part b for n = 400. Describe the effect of increasing n.