Answer to Question #60731 in Statistics and Probability for Lindsay

Question

Please find the limit(s) of the boundaries for the critical region for the following hypotheses (You only need to find the z, t, or F-critical value in all cases, e.g., +/2.33. Please do not complete the hypothesis test):
a. Ho: μd ≤ 6.5, Ha: μd > 6.5, α = 0.05, n = 35, s = 2.5.
b. Ho: μ1 - μ2 ≤ 0, Ha: μ1 - μ2 > 0, α = 0.1, n1 = 13, n2 = 17 (σ1 = σ2).
c. Ho: μ1 - μ2 ≥ 0, Ha: μ1 - μ2 < 0, α = 0.025, n1 = 19, n2 = 27 (σ1 ≠ σ2).
d. Ho: σ12 = σ22, Ha: σ12 ≠ σ22, α = 0.01, n1 = 31, n2 = 21 s1 = 4.1, s2 = 8.3.
e. Ho: σ12 = σ22, Ha: σ12 ≠ σ22, α = 0.05, n1 = 22, n2 = 13 s1 = 7.2, s2 = 10.6.