If one draws all possible samples for various values of N from the same population of raw scores, as N increases _________.
A) the mean of the sampling distribution of the mean increases
B) the mean of the sampling distribution of the mean stays the same
C) the mean of the sampling distribution of the mean decreases
D) none of these

Question

Quizplus · Accepted Answer

The sampling distribution of the mean stabilizes as N increases, meaning that the mean of the sampling distribution of the mean stays the same. This is due to the Central Limit Theorem, which states that as sample size increases, the sampling distribution of the mean becomes more normal and its mean approaches the true population mean.

If One Draws All Possible Samples for Various Values of N