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

Hypotheses: H₀: μ₁ = μ₂ vs H_a: μ₁ ≠ μ₂. In addition, in each case for which the results are significant, state which group (1 or 2) has the larger mean.
(a) 95% confidence interval for μ₁ − μ₂: 

0.12 to 0.54

(b) 99% confidence interval for μ₁ − μ₂:
−2.1 to 5.4
(c) 90% confidence interval for μ₁ − μ₂:
−10.8 to −3.7

Hypotheses for a statistical test are given, followed by several possible confidence intervals for different samples. In each case, use the confidence interval to state a conclusion of the test for that sample and give the significance level used.