Question 1181563: 1. A simple random sample is taken from a normal population. Choose the one statement that is
true.
a. We can never ensure that the distribution of the sample mean is normal or
approximately normal.
b. If the sample mean equals the population mean, then the distribution of the sample
mean must be normal or approximately normal.
c. We can be certain that the sample mean is normal or approximately normal only if the
sample size is greater than 30.
d. For any sample size, the distribution of the sample mean is normal or approximately
normal.
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! This is D.
If the population is normal the distribution of sample means will be normal, too.
It doesn't need greater than 30, which is arbitrary and may be too much or too little.
Since the population mean may never be known, b is not the answer.
If a were true, we would not be able to do most statistical tests.
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