Independent random samples were selected from two quantitative populations, with sample sizes, means, and variances given below. Population 1 2 Sample Size 38 45 Sample Mean 9.6 7.3 Sample Variance 10.83 16.49 State the null and alternative hypotheses used to test for a difference in the two population means. О но: (и, - н2) + 0 versus Hа: (и, - и2) %3D 0 О но: (и, - н2) %3D 0 versus Hа: (и, — и2) > о O Ho: (H1 - H2) = 0 versus H: (H1 - H2) + 0 O Ho: (H1 - H2) = 0 versus H,: (H1 - 2) < 0 O Ho: (H1 - H2) < 0 versus H3: (41 - 42) > 0 Calculate the necessary test statistic. (Round your answer to two decimal places.) z = 2.77 Calculate the rejection region with a = 0.01. (Round your answers to two decimal places. If the test is one-tailed, enter NONE for the unused region.) z > 2.77 z < 2.77 Draw the appropriate conclusion. O H, is not rejected. There is insufficient evidence to indicate a difference in mean. H, is not rejected. There is sufficient evidence to indicate a difference in mean. O H, is rejected. There is insufficient evidence to indicate a difference in mean. O H, is rejected. There is sufficient evidence to indicate a difference in mean.

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