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Question

Are the sample dependent in the central limit theorem


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Solution

Central Limit Theorem:

The central limit theorem (CLT) states that the distribution of sample means a normal distribution as the sample size gets larger, regardless of the population's distribution. The sufficient sample size for (CTL) is equal to or greater than 30.

Answer and Explanation:

In Central Limit Theorem the sampling distribution of the mean of any independent, random variable will be normal or nearly normal, if the sample size is large enough.

Thus, the samples must not be dependent for satisfying the central limit theorem.


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