In general,the paired-sample procedure is appropriate when the samples are naturally paired in some way and there is a reasonably large positive correlation between the pairs.In this case,the paired-sample procedure makes more efficient use of the data and generally results in narrower confidence intervals.

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The paired-sample procedure is indeed appropriate for naturally paired samples and leverages the positive correlation between pairs to make more efficient use of data, often resulting in narrower confidence intervals. This is because it focuses on the differences within each pair, reducing variability compared to unpaired methods.

In General,the Paired-Sample Procedure Is Appropriate When the Samples Are