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Matched-Pairs t-Test — Paired Data Design

Compute differences d = x₁ − x₂ for each pair. Run a one-sample t-test on the differences with H₀: μ_d = 0.

StatisticsCommon Core VAR-7.BINFVerified correct ✓

Worked examples

Pairs (before, after): (52,55); (57,60); (76,80); (56,57). Compute the mean of the differences d = after − before. Round to 2 decimal places.
Answer: 2.75
Pairs (before, after): (77,76); (80,77); (59,57); (55,54); (51,49); (58,54). Compute the paired t-statistic t = d̄ / (s_d / √n). Round to 2 decimal places.
Answer: -4.54

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Hypothesis Test for a Mean — One-Sample t-TestTwo-Sample Tests — Compare Two Means or Two Proportions

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