All possible samples of size n are selected from a population and the mean of each sample is determined. What is the mean of the sample means?
A) The population mean
B) Larger than the population mean
C) Smaller than the population mean
D) Cannot be estimated in advance

Question

Quizplus · Accepted Answer

According to the Central Limit Theorem, the distribution of sample means is normal and its mean is equal to the population mean. Therefore, the mean of the sample means is the same as the population mean.

All Possible Samples of Size N Are Selected from a Population