According to the Census Report in Country A, the number of children in a household has a mean of 3.5 and a standard deviation of 2.0.

Suppose the Census Report instead had estimated this mean using a random sample of 300 homes, and that sample had a mean of 4.2 and standard deviation of 1.5.

(a) Identify the variable y.

(b) Describe the center and spread of the population distribution.

(c) Describe the center and spread of the sample data distribution.

(d) Describe the center and spread of the sampling distribution of the sample mean for 300 homes.What does that distribution describe?