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hi everybody this is Eugene ole our connection computing at the National College of Ireland and welcome to my series of short how-to videos in this video we want to learn how to perform a paired or dependent t-test and we're going to learn how to do it by hand so before we start let's take a look at some sample data that we're going to use in this t-test let's say I want to run a training course and I've given my students there's 14 students in my class I've given them a test to test their knowledge before the course starts and then after the course is complete I give them a different test and so I've got a pre post test sets of scores here I've got one group of students being tested twice therefore I paired our dependence t-test is an appropriate test to run here if I want to test if there's a statistically significant difference between the pre and the post test groups so as always let's set out our null and alternative hypothesis here so my 8-0 my null hypothesis is that the Mew th...