Consider a pair of random variables (X, Y) with unknown distribution. Assume the difference D = X – Y is normal with D ~ N(µD, σ). Suppose we are given the following sample data for (X, Y)²: (16.9, 20.5) (14.6, 21) (23.6, 29.2) (22.8, 26.6) (16.2, 22.8) (12.7, 17.1) Compute a 95% confidence interval of D ¹For comparison, the actual value is μ = 11.7. 2For comparison, the actual value is up = -5.3. (23.1, 28.2) (18.1, 24) (26, 29.9) (22.5, 28.3) (17.3, 22.4)

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