According to the central limit theorem,if you selected every possible random sample of size N from some population and computed a mean (
)for each of these samples,then the average (i.e.,mean)of these sample means will always be ____.
A)zero
B)equal to the population mean
C)less than the population mean
D)more than population mean

Question

According to the central limit theorem,if you selected every possible random sample of size N from some population and computed a mean ( 
)for each of these samples,then the average (i.e.,mean)of these sample means will always be ____.
A)zero 
B)equal to the population mean 
C)less than the population mean 
D)more than population mean

Quizplus · Accepted Answer

According to the central limit theorem, the distribution of sample means approaches a normal distribution as the sample size increases, regardless of the shape of the population distribution. The mean of the distribution of sample means is equal to the population mean, so the average (i.e., mean) of all the sample means will also be equal to the population mean. Therefore, the correct choice is B.

According to the Central Limit Theorem,if You Selected Every Possible