A mathematical proposition known as the central limit theorem provides a precise description of the distribution that would be obtained if you selected every possible sample,calculated every sample mean,and constructed the distribution of the sample mean.

Question

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The central limit theorem states that the sample means obtained from a large number of independent, identically distributed random variables will be approximately normally distributed, regardless of the underlying distribution of the variables. This means that if every possible sample was selected and their means were calculated, they would follow a normal distribution.

A Mathematical Proposition Known as the Central Limit Theorem Provides