Central Limit Theorem is important in statistics because: for a large n, it says

Question

Central Limit Theorem is important in statistics because: for a large n, it says the population is approximately normal. for normal any population it says the sampling distribution of the sample mean is approximately, normal, regardless of the sample size. for a large n, it says the sampling distribution of the sample mean is approximately normal, regardless of the shape of the population. for any sized sample, it says the sampling distribution of the sample mean is always approximately Normal for smaller values of n, the more normal the sampling distribution of sample means becomes If the sample size is n = 10. the sampling distribution of the mean will be normally distributed only if the individual elements in the underlying parent population are small. only if the standard deviation of the mean is normally distributed. only if the underlying population distribution itself is normally distributed. only if the population mean is normally distributed. regardless of the shape of the underlying population distribution.

Explanation / Answer

17. for a large n, Central Limit theorem says the sampling distribution of the sample mean is approximately normal, regardless of the shape of the population.

18. for a small sample size the sampling distribution of the mean will be normally distributed if and only if the underlying population distribution itself is normally distributed.

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