SOLUTION: Good morning everyone, I have a hard time finding a answer for this question. I assumed the right answer is A or D. Can you please tell me the right answer and explain why? Thank y

Question 1004831: Good morning everyone, I have a hard time finding a answer for this question. I assumed the right answer is A or D. Can you please tell me the right answer and explain why? Thank you in advance.

Q.If selecting samples of size n = 10 from a population with a known mean and standard deviation,what requirement, if any, must be satisfied in order to assume that the distribution of the sample means is a normal distribution?
A) The population must have a normal distribution.
B) The population must have a mean of 1.
C) The population must have a standard deviation of 1.
D) None; the distribution of sample means will be approximately normal.
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
The answer is A, the more closely the population resembles a normal distribution, the fewer sample points will be required.
note that usually 30 sample points are required, however, if the population standard deviation is known, then use normal distribution
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