Independent random samples of nj = 15 and n2 = 11 observations were selected from two normal populations with equal variances. Population 1 2 Sample Size 15 11 Sample Mean 34.9 32.4 Sample Variance 4.4 5.3 (a) Suppose you wish to detect a difference between the population means. State the null and alternative hypotheses for the test. O Ho: (141 - 12) = 0 versus Ha: (H1 - H2) 0 O Ho: (H1 - H2) = 0 versus H (H1 - H2) # 0 O Ho: (H1 - H2) 0 (b) Find the rejection region for the test in part (a) for a = 0.01. (If the test is one-tailed, enter NONE for the unused region. Round your answers to three decimal places.) t > t