If all possible random samples of size n are taken from a population,and the mean of each sample is determined,the mean of the sample distribution is:
A)larger than the population mean.
B)exactly the same as the population mean.
C)smaller than the population mean.
D)unrelated to the population mean.

Question

Quizplus · Accepted Answer

The mean of the sample distribution is equal to the population mean because the sample means are unbiased estimators of the population mean. This is known as the Central Limit Theorem. Therefore, the best choice is B, exactly the same as the population mean.

If All Possible Random Samples of Size N Are Taken