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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.

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.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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Independent random samples were selected from two quantitative populations, with sample sizes, means, and variances given below. Population 1 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 н: (и, - н2) + 0 versus Hа: (и, - и2) %3D 0 О на: (и, - и2) %3D 0 versus H,: (и, — и2) > о О на: (и, - и2) %3D 0 versus Hа: (и, — и2) + 0 О н: (и, — и,) %3D 0 versus H,: (и, — и) < 0 О Hо: (и1 — н2) <0 versus Hа: (И1 — и2) > о 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. Ho is not rejected. There is sufficient evidence to indicate a difference in mean. O Ho is rejected. There is insufficient evidence to indicate a difference in mean. O Ho is rejected. There is sufficient evidence to indicate a difference in mean.
Transcribed Image Text:Independent random samples were selected from two quantitative populations, with sample sizes, means, and variances given below. Population 1 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 н: (и, - н2) + 0 versus Hа: (и, - и2) %3D 0 О на: (и, - и2) %3D 0 versus H,: (и, — и2) > о О на: (и, - и2) %3D 0 versus Hа: (и, — и2) + 0 О н: (и, — и,) %3D 0 versus H,: (и, — и) < 0 О Hо: (и1 — н2) <0 versus Hа: (И1 — и2) > о 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. Ho is not rejected. There is sufficient evidence to indicate a difference in mean. O Ho is rejected. There is insufficient evidence to indicate a difference in mean. O Ho is rejected. There is sufficient evidence to indicate a difference in mean.
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