A researcher conducts a study in which the population variance of difference scores between two groups is unknown.What type of t test is most appropriate for this study?
A)one-sample t test
B)two-independent sample t test
C)related samples t test
D)There is not enough information to answer this question.

Question

Quizplus · Accepted Answer

The related samples t test (also known as within-subjects or paired t test) is appropriate when the difference scores come from two groups of related or matched cases, such as in a pre-test post-test design or when comparing results from the same sample under two different conditions. This type of test assumes that the two groups have equal variances and their difference scores follow a normal distribution. It is also more powerful than the two-independent sample t test since it can control for individual differences and reduce error variance, thus increasing the ability to detect a significant difference between the groups. The one-sample t test is used to test if a sample mean differs significantly from a known population mean, while the two-independent sample t test is used to test if two independent samples have different means, assuming equal or unequal variances.

A Researcher Conducts a Study in Which the Population Variance