Question: For surveying purposes land in the United States is divided into townships. Each township is a square 6 miles on a side and is divided into 36 squares, each of which is called a section. The sections are numbered according to following design.
At the time of statehood. the federal government gives states one randomly selected section within each township. All the revenues from that section are to be used to support local schools.
(A) Explain why this numbering system can be used to create a Simple Random Sample.
(B) Suppose that schools received $1,000 from each section that was net dedicated for school revenues. Suppose further that schools received S 100.000 from the section that is dedicated for school revenues. If a section is selected at random, what is the expected income from that section?
(C) Let section #12 be the section given to the state. Using the random number table below, draw two random samples (without replacement) of 5 sections each and determine the total revenue received by each sample. Explain your process and show clearly the numbers you select.
(D) Suppose that many simple random samples of size n = 5 were drawn (without replacement) and the total revenue received computed for each sample. If the totals for each sample were plotted, what would be the mean of the distribution?
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