In: Statistics and Probability
8. Perform the test of hypotheses indicated, using the data from independent samples given. Use the critical value approach. Test H 0 : μ 1 − μ 2 = 75 vs. H a : μ 1 − μ 2 > 75 @ α = 0.025: n 1 = 45, x - 1 = 674, s 1 = 18 n 2 = 29, x - 2 = 591, s 2 = 13 Test H 0 : μ 1 − μ 2 = − 20 vs. H a : μ 1 − μ 2 ≠ − 20 @ α = 0.005: n 1 = 30, x - 1 = 137, s 1 = 8 n 2 = 19, x - 2 = 166, s 2 = 11