Select all of the following that are true for CLT: A) The sampling distribution gets narrower and more normal as sample size increases. B) The sampling distribution of any continuous population...

Select all of the following that are true for CLT:

A) The sampling distribution gets narrower and more normal as sample size increases.

B) The sampling distribution of any continuous population distribution will be approximately normal given a sufficiently large sample size (n>30).

C) The sampling distribution will have a bigger mean than the population distribution.

D) The standard deviation of the sampling distribution is identical to the standard deviation of the population distribution

E) The CLT can ONLY be used if the original population distribution is normal.