What is the standard error of M?
A)The sample mean
B)The sample standard deviation
C)The mean of the distribution of sample means
D)The standard deviation of the distribution of sample means

Question

Quizplus · Accepted Answer

The standard error of M quantifies the variability of the sample means expected from random sampling. It is calculated as the standard deviation of the distribution of sample means, which is a theoretical distribution that describes the possible sample means that can be obtained from a certain population. Thus, option D is the correct choice. The sample mean (option A) is just the arithmetic average of a particular sample, while the sample standard deviation (option B) describes the variability within that sample. The mean of the distribution of sample means (option C) is a theoretical value that does not take into account the variability among samples.

What Is the Standard Error of M