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What conditions (and theorem) must be met in order for a sampling distribution of means to be approximated by a normal distribution?

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MissPhiladelphia
For the answer to the question above what conditions (and theorem) must be met in order for a sampling distribution of means to be approximated by a normal distribution? The answer is 
n p > 10 
n(1-p) > 10 

Hope you know what n and p are

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