Which sampling method ensures each individual has an equal chance of selection?

Prepare for the Barnard Statistics Concepts Test. Utilize flashcards and multiple-choice questions with explanations. Accelerate your stats knowledge!

Multiple Choice

Which sampling method ensures each individual has an equal chance of selection?

Explanation:
Equal chance of selection comes from using a random sampling method, specifically simple random sampling. In this approach, every member of the population has the same probability of being included in the sample, and every possible sample of the chosen size is equally likely. You can implement this by assigning a unique number to each individual and using a random mechanism to select the numbers. With a fixed sample size, this ensures no individual is favored or disadvantaged. The normal distribution and the central limit theorem describe how data and sampling distributions behave, not how individuals are chosen from the population. They’re about results after sampling, not the process that guarantees equal inclusion chances.

Equal chance of selection comes from using a random sampling method, specifically simple random sampling. In this approach, every member of the population has the same probability of being included in the sample, and every possible sample of the chosen size is equally likely. You can implement this by assigning a unique number to each individual and using a random mechanism to select the numbers. With a fixed sample size, this ensures no individual is favored or disadvantaged.

The normal distribution and the central limit theorem describe how data and sampling distributions behave, not how individuals are chosen from the population. They’re about results after sampling, not the process that guarantees equal inclusion chances.

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