Compare and contrast a difference of means test with a paired difference test. What, fundamentally, are we testing for in each?
When do you use the difference of means? When do you use the paired difference? Explain why in both instances.
Both kinds of tests are designed to test for differences in two groups.
A “difference of means” or a “two-sample” test looks at the means from two samples, and determines if they are significantly different from each other. This kind of test assumes that the two samples are selected independently of one another.
A “paired difference” or “matched pairs” test differs from the …