The expected value of the difference of two sample means equals the difference of the corresponding population means when:
A)the populations are normally distributed.
B)the samples are independent.
C)the populations are approximately normal and the sample sizes are large.
D)All of these choices are true.

Question

Quizplus · Accepted Answer

The expected value of the difference of two sample means equals the difference of the corresponding population means under all these conditions: when the populations are normally distributed, when the samples are independent, and when the populations are approximately normal with large sample sizes. These conditions ensure the validity of the Central Limit Theorem and independence of samples, making the statement true in all listed scenarios.

The Expected Value of the Difference of Two Sample Means