6. Women’s heights have an approximate normal distribution with mean 64.5 inches and SD 2.5 inches (SAY). Family income is a highly skewed distribution with mean 78,000 dollars and SD 16,500 dollars (SAY). Consider the following averages.
a. The average of 5 randomly selected women’s heights
b. The average of 10 randomly selected family incomes
c. The average of 20 randomly selected family incomes
Which of these averages is closest to a normal distribution, and which is least like a normal distribution? Why?