The local genealogical society in Coles County, Illinois,...

The local genealogical society in Coles County, Illinois, has conpiled records on all 55,914 gravestones in cemeteries in the county for the years 1825 to $1985 .$ Historians plan to use these records to leam about African Americans in Coles County's history. They first choose an SRS of 395 records to check their accuracy by visiting the actual gravestones. $^{14}$ (a) Explain how you would use your calculator or Table D to choose the SRS. Your description should be clear enough for a classmate to carry out your plan. (b) Use your method from (a) to choose the first 3 gravestones.

The local genealogical society in Coles County, Illinois, has conpiled records on all 55,914 gravestones in cemeteries in the county for the years 1825 to $1985 .$ Historians plan to use these records to leam about African Americans in Coles County's history. They first choose an SRS of 395 records to check their accuracy by visiting the actual gravestones. $^{14}$
(a) Explain how you would use your calculator or Table D to choose the SRS. Your description should be clear enough for a classmate to carry out your plan.
(b) Use your method from (a) to choose the first 3 gravestones.

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Key Concepts

Simple Random Sampling (SRS)

Simple random sampling is a method where each item in the population has an equal chance of being selected. This concept is fundamental to ensuring that the sample is free from bias and accurately represents the entire population, making it a cornerstone in statistical analysis and inferential statistics.

Random Number Generation

Random number generation is the process of producing numbers that are free of any pattern or bias. In the context of sampling, these numbers are used to ensure that selections from the population are made independently and fairly, either using a calculator's built-in function or a randomness table like Table D.

Sampling Frame

The sampling frame is a complete and organized list of the population from which the sample is drawn. It is essential because it provides the structure needed to link each element of the population with a unique identifier, facilitating the random selection process and the overall validity of the sampling process.

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