Which of the following formulations is a definition of the central limit theorem?

Question

Answer

If any measurement, x, is transformed to a standardised z-score, the distribution of z will get closer to normal as n gets larger, with a mean and a standard deviation that can be determined.

Answer

A sample of a variable, x, will be normally distributed if n is very large, and the mean and the standard deviation will approach the population mean and the standard deviation.

Answer

For any population with mean  µ  and standard deviation  σ , the distribution of sample means for
sample size  n  will have a mean of  µ  and a standard deviation of  σ/√n  and will approach the normal
distribution as  n  increases.

Answer

The distribution of
a statistic (e.g., mean  x̄ ) calculated from
multiple samples  x  drawn from the same population, to calculate the
population mean,  µ.

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Which of the following formulations is a definition of the central limit theorem...

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