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in this video were going to talk about how to solve problems when you have a matched or paired sample a natural paired sample occurs when youre measuring two things with the same group of people in this case it could be the before and after weight of a weight loss program which is the problem that were about to do so lets get right into it a study was conducted to determine the effectiveness of a weight loss program the table below shows the before and after weights of 10 subjects in the program is this program effective for reducing weight well lets find out using a 5 significance level so the first thing we need to do is calculate the differences in the before and after values so lets add a new column called x d now x sub d is the difference for each subject so its going to be the after weight minus the before weight so for the first example for subject one his weight after the program is 169 pounds were going to use the unit pounds because i forgot to put in there and his be