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The central limit theorem states that if a random and representative sample from a population contains...

The central limit theorem states that if a random and representative sample from a population contains more than 15 observations the sampling distribution of the sample mean will be approximately normal

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Incorrect or false statement

Correct statement is "The central limit theorem states that if a random and representative sample from a population contains at least 30 observations, the sampling distribution of the sample mean will be approximately normal"

So, we need at least 30 observation to claim a sample as normally distributed, otherwise the selected sample will not qualify as normally distributed.

So, the given statement is incorrect because minimum sample size requirement is not met in the given statement.

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