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

Answer:

Central limit theorem

Step-by-step 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.