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.)

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

A. Normal
B. Skewed left
C. Skewed right
D. Cannot be determined

Answer 1

Answer:

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

So long mean is a linear combination of normal independent variates, then the shape of distribution of the sample​ mean is normal.

Step-by-step explanation:

So long mean is a linear combination of normal independent variates, then the shape of distribution of the sample​ mean is normal.