Paired means test vs two-sample means test

[Nikitin]

Paired means test vs two-sample means test [solved]

Hi. When it comes to hypothesis testing, what is the difference between the two-sample tests and the paired test?

I know one difference is that you use the latter when the two variables are dependent and the former when they're independent, but I don't know why.

So can somebody please clarify this?

 

[Nikitin]

Oops, silly me. I forgot that the variance of the two means in the tests is different. The interdependence of the means in the paired t-test make the variance different from the independent means in the two-sample t-test.

OK I guess I answered my own question.