In comparing two populations using paired differences, after the difference is found for each pair, the method for testing whether the mean difference is equal to 0 becomes the same as was used for a one- sample hypothesis test with unknown standard deviation.

Question

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After calculating the difference for each pair in comparing two populations, the method for testing whether the mean difference is equal to 0 indeed becomes the same as a one-sample hypothesis test for a mean with an unknown standard deviation, typically using the t-test for the mean of the differences.

In Comparing Two Populations Using Paired Differences, After the Difference