The Central Limit Theorem is one of the most important and useful concepts of statistics. It forms a foundation for estimating population parameters and hypothesis testing and states that

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The Central Limit Theorem is one of the most important and useful concepts of statistics. It forms a foundation for estimating population parameters and hypothesis testing and states that

  • as the sample size increases, the sampling distribution of sample means approaches an FF distribution, regardless of the distribution of the original population.
  • as the sample size increases, the sampling distribution of sample means approaches a Binomial distribution, regardless of the distribution of the original population.
  • as the sample size increases, the sampling distribution of sample means approaches a Student (tt) distribution, regardless of the distribution of the original population.
  • as the sample size increases, the sampling distribution of sample means approaches a Chi-square (χ2χ2) distribution, regardless of the distribution of the original population.
  • as the sample size increases, the sampling distribution of sample means approaches a Normal (zz) distribution, regardless of the distribution of the original population.
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