2. The National Agricultural Statistics Service conducts studies of the number of acres devoted to farmsin each county of the United States. Suppose that we divide the U.S. into the four census regions(Northeast, North Central, South and West), take a simple random sample of counties form eachof the four regions, and combine all four simple random samples into one sample, which type ofsampling design would have been used? Explain your answer.

Answered: 2. The National Agricultural Statistics…

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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2. The National Agricultural Statistics Service conducts studies of the number of acres devoted to farms
in each county of the United States. Suppose that we divide the U.S. into the four census regions
(Northeast, North Central, South and West), take a simple random sample of counties form each
of the four regions, and combine all four simple random samples into one sample, which type of
sampling design would have been used? Explain your answer.

Expert Solution

Step 1

The National Agricultural Statistic Service manage studies of the number of acres devoted to farms in each county of the United States. Let, the population size would be N. Then divided N into four census region i.e. $N_{i}$ , i=1(1)4

A simple random sample of counties had been taken from each region i.e. $n_{i}$ (the sub-sample size) and combined them into one sample i.e. n (total sample size).

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