Paired versus independent samples: For each student, measure the distance from the knee to the ankle and

Question:

Paired versus independent samples: For each student, measure the distance from the knee to the ankle and the distance from the elbow to the wrist. Construct a 95% confidence interval for the difference in two ways: first using paired differences, and second treating the samples as independent. Which confidence interval is wider? Why? Why does the paired method give a different result?

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