Question

Suppose the distribution of the daily calcium intake of Americans is left skewed with a mean of 800 mg and a standard deviation of 16 mg. What can we say about the sampling distribution of distribution X?

Answer 1

Central limit theorem

Explanation:

By central limit theorem. The sampling distribution will have the same mean as the original distribution.

The sampling distribution will have a standard deviation of
`s/sqrt(n)`, so it cannot be a fixed 16. Also,the normal approximation improves with increasing sample size.

Therefore, the correct answer about the sampling distribution of distribution X

is central limit theorem.