Question

Consider a random variable X that is normally distributed. Complete parts​ (a) through​ (d) below. ​(This is a reading assessment question. Be certain of your answer because you only get one attempt on this​ question.) ​(a) If a random variable X is normally​ distributed, what will be the shape of the distribution of the sample​ mean?

Answer 1

It is going to be bell-shaped, that is, also normally distributed.

Explanation:

The shape of the distribution of the sample​ mean is the same as the shape of the random variable. So:

(a) If a random variable X is normally​ distributed, what will be the shape of the distribution of the sample​ mean?

It is going to be bell-shaped, that is, also normally distributed.