Q 1.66. - Elementary Statistics

Question

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

Step-by-Step Solution

Answer

A stratified sampling design is used in this study.

Step 1. Given information.

The given statement is:

The National Agricultural Statistics Service (NASS) conducts studies of the number of acres devoted to farms in each county of the United States. Suppose that we divide the United States into the four census regions (Northeast, North Central, South, and West), take a simple random sample of counties from each of the four regions, and combine all four simple random samples into one sample. 

Step 2. Explanation.

From the given study the information that we have gained is that the United States is divided into the four census regions (Northeast, North Central, South, and West), after that a simple random sample of counties was taken from each of the four regions, and combine all four simple random samples into one sample 

Therefore, the stratified sampling design would be ideal in this circumstance.