What conditions must be met for the Central Limit Theorem to hold true?

  • The data must be collected without any bias.
  • The data must be normally distributed.
  • The sample must be a simple random sample, and the sample size must be sufficiently large (typically n > 30).
  • The sample size must be less than 30.
The Central Limit Theorem generally applies when the following conditions are met: 1) The data should be sampled randomly, 2) The sample values must be independent of each other, and 3) The sample size should be sufficiently large (typically, n > 30 is considered sufficient).
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