Hypothesis Testing on Two Samples. Quick Guide

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Hypothesis test on 2 samples

Testing on 2 samples for the mean then it is always independent samples! The equation for µd is: µd = y-x
When it says something in a question about testing the difference or something different we always use equal or different in H0 and H1. In 2 samples, no matter if it is independent or matched samples, H1 is always the one we will look at to see our answer. If it say:

1.H0:µd = 0  no difference between both samples
2.H1:µd ≠ 0  there is a difference between both methods •Matched pairs
oThe elements in both samples are the same (means that it is the same person or observations you have samples of). oWhen dealing with Matched pairs in Bewistat then you have to choose hypothesis test and one sample  f, this is because it really is the same people or things we have samples of. D in Bewistat is the difference standard between the samples. oThe value we are testing up against is usually 0. Only test up against a number if you are asked to do so in the question µd wil always be equal to 0 if you are asked to examine whether one sample is better/less or equal to the other sample without any value. •Independent sample

oThe elements in both samples are different (means that it is not the same thing you are interviewing)

Lines to remember
If sample y has to be a specific value greater than sample x then type that value with positive sign in µd •If sample y has to be a specific value less than sample x then type that value with negative sign in µd •X is greater than y = y is less than x

If sample y has to be less than sample x then you have to choose < in H1 •If sample y has to be greater than sample x then you have to choose > in h1
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