A researcher wants to show the mean from population 1 is less than the mean from population

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A researcher wants to show the mean from population 1 is less than the mean from population 2 in matched-pairs data. If the observations from sample 1 are Xi and the observations from sample 2 are Yi and di = Yi - Xi, then the null hypothesis is H0: μd = 0 and the alternative hypothesis is H1: μd _____ 0.

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