The sampling distribution of the mean can be generated by drawing random samples of ____ and forming a frequency distribution of all means.
A)different sizes
B)the same size
C)increasingly larger sizes
D)none of these

Question

Quizplus · Accepted Answer

In order to generate the sampling distribution of the mean, we need to draw random samples of the same size from the population. This ensures that each sample has an equal chance of being selected and that the means are comparable. If we were to draw samples of different sizes, it would be difficult to compare the means and form a frequency distribution of all means. Drawing increasingly larger sizes would also present measurement issues and make it difficult to generalize findings. Therefore, the best choice is to draw random samples of the same size.

The Sampling Distribution of the Mean Can Be Generated by Drawing