If selecting samples of size n≤30 from a population with a known mean and standard deviation,...
If selecting samples of size n≤30 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.
Homework Answers
When the sample size is less than 30, then we cannot apply Central Limit Theorem to get the distribution of sample mean. Thus the required condition that must be satisfied in order to assume that the distribution of the sample means is a normal distribution is:
A) The population must have a normal distribution.
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