The t-test for the mean difference between 2 related populations assumes that the respective:
A) sample sizes are equal.
B) sample variances are equal.
C) populations are approximately normal or sample sizes are large.
D) All of the above

Question

Quizplus · Accepted Answer

The t-test for the mean difference between 2 related populations (often used in paired samples) assumes that the populations are approximately normal or the sample sizes are large enough for the Central Limit Theorem to apply, ensuring the distribution of the sample mean difference is approximately normal. This assumption allows for the use of the t-distribution in hypothesis testing. The test does not require equal sample sizes or equal variances, especially in the context of related or paired samples where each pair is inherently linked.

The T-Test for the Mean Difference Between 2 Related Populations