data set link: please download http://wikisend.com/download/249564/statepps.csv

Question

data set link: please download

http://wikisend.com/download/249564/statepps.csv

The file statcpps.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 Psi_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 for each state in your sample? c How do the two samples differ? Which states tend to be in each sample? Use your sample of stales drawn with probability proportional to population, from Exercise 9, for this problem). a Using the sample, estimate the total number of counties in the United States, and find the standard error of your estimate. How does your estimate compare with

Explanation / Answer

Solution10A:

we can estimate the total number of counties in US using sample mean

sample mean=sum of counties/total counties

=3142/51

=61.61

total counties extimated=62(rounding to nearest integer)

standard error=std dev/sqrt(n)

=46.8931/sqrt(51)

=6.57

std error=7(rounding to nearest integer)

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