4.36. The distribution of family size in a particular tribal society is skewed to the right, with /x = 5.2 and a - 3.0. These values are unknown to an anthropologist, who samples families to estimate mean family size. For a random sample of36 families,she gets a mean of 4.6 and a standard deviation of 3.2.

(a) Identify the population distribution. State its mean and standard deviation.

(b) Identify the sample data distribution. State its mean and standard deviation.

(c) Identify the sampling distribution of y. State its mean and standard error and explain what it describes.