Use the information provided to answer the questions. Population Sample Size 15 13 Sample Mean 34.9 32.3 Sample Variance 4.6 5.6 A USE SALT State the null and alternative hypotheses for testing for a significant difference in means. O Ho: (u, - u2) = 0 versus H,: (4, - 42) > 0 O H,: (u, - u,) = 0 versus H: (u, - 4,) < 0 O H,: (4, - 42) = 0 versus H,: (4, - 42) # 0 O Ho: (4, - 42) < 0 versus H,: (4, - 42) > 0 O H,: (4, - 4,) * 0 versus H: (u, - H2) = 0 Calculate the pooled estimate of o?, the associated degrees of freedom, and the observed value of the t statistic. (Round s? and your t statistic to three decimal places s2 = 0.727 df = 26 t = 3.049 What is the rejection region using a = 0.05? (If the test is one-tailed, enter NONE for the unused region. Round your answers to three decimal places.)