What is the standard error of the difference?
A)The estimated standard deviation of the sample means.
B)The estimated standard deviation of the sampling distribution of the mean.
C)The estimated standard deviation of the sampling distribution of differences between the means.
D)The pooled standard deviation from the populations from which the samples are drawn.

Question

Quizplus · Accepted Answer

The standard error of the difference is the estimated standard deviation of the sampling distribution of differences between the means. It is used to estimate the likely range of values for the difference between two sample means. Choice A is incorrect because it refers to the standard error of the mean, not the standard error of the difference. Choice B is also incorrect because it refers to the standard error of the mean, not the difference between means. Choice D is incorrect because it refers to the pooled standard deviation, which is a measure of variability within the samples, not between them.

What Is the Standard Error of the Difference