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which statistical should I use if I want to perform the appropriate test to assess the...

which statistical should I use if I want to perform the appropriate test to assess the research question: “Is there a difference in degree of pain during maximal activity while on Motrin compared to placebo?” and assume the data are NOT normally distributed and CLT does not apply to the data.

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Answer #1

We consider a nonparametric Mann-Whitney test (aka Wilcoxon test) for independent two samples, although analogous tests are possible for paired two samples.

Answer is Mann-Whitney Test

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