Sound statistical theory consistently supports random number sampling with or without replacement.

Question

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Random number sampling, whether with or without replacement, is a fundamental concept in statistical theory and is widely used in statistical analysis. The theoretical basis for random sampling lies in probability theory, which provides a rigorous framework for analyzing the properties of samples drawn from a population. Whether sampling with replacement or without replacement, the principles of probability theory apply and support the use of random sampling.

Sound Statistical Theory Consistently Supports Random Number Sampling with or Without