When conducting a hypothesis test to determine whether or not two groups differ, using paired samples rather than independent samples has the advantage of controlling for sources of variation that might distort the conclusions of the study.

Question

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Paired samples are used when the observations in one group are naturally paired or matched with observations in the other group, effectively controlling for individual differences and other sources of variation that could affect the outcome, leading to more accurate conclusions about differences between groups.

When Conducting a Hypothesis Test to Determine Whether or Not