The file statepps.dat lists the number of counties, land area, and 1992 population for the 50 states plus the District of Columbia.

a Use the cumulative-size method to draw a sample of size 10 with replacement, with probabilities proportional to land area. What is ψ_i for each state in your sample?

b Use the cumulative-size method to draw a sample of size 10 with replacement, with probabilities proportional to population. What is ψ_i for each state in your sample?

c How do the two samples differ? Which states tend to be in each sample?