Suppose the table below represents statistics about the weights of female college students during their first two years of college. You are interested in trying to show that female college students gain weight between their first and second years in college. Explain what in this summary tells you that they should get a smaller p-value when you run your test by doing a matched paired test than if you did an independent samples test.

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Freshmen Sophomore Difference 135 lb Mean 130 lb 5 lb Standard deviation 25 lb 27 lb 2 lb