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

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.

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

answer: 2x + 2 − 2 = 10 − 2; subtraction property of equality

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