If your question is about your data: why the diffs are positive and there is no negative observation then this probably means that your data is censored or your missing data mechanism is not random.
If not so then any test will give you significant result.
Normalizing (log x, 1/x, 1/sqrt(x), sqrt(x)) your data and using paired test will give confidence intervals for the mean diff. I mean that it will help you in measuring your differences.





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