Test H 0 : 1 = 2 vs H a : 1

Test H₀: μ₁ = μ₂ vs H_a: μ₁ ≠ μ₂ using the paired difference sample results x̅_d = −2.6, s_d = 4.1, n_d = 18.

Use a t-distribution and the given matched pair sample results to complete the test of the given hypotheses. Assume the results come from random samples, and if the sample sizes are small, assume the underlying distribution of the differences is relatively normal. Assume that differences are computed using d = x₁ − x₂.