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What general conditions must be satisfied for the central limit theorem to hold?

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In order to apply the central limit theorem, there are four conditions that must be met:

1.** Randomization:** The data must be sampled randomly such that every member in a population has an equal probability of being selected to be in the sample.

Independence: The sample values must be independent of each other.

The 10% Condition: When the sample is drawn without replacement, the sample size should be no larger than 10% of the population.

Large Sample Condition: The sample size needs to be sufficiently large.

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