Independent random samples were selected from two quantitative populations, with sample data given below. If your research objective is to show that u, is larger than u,, use the critical value approach to test the appropriate hypothesis with a = 0.01. X2 = 123.5, n1 = n2 = 50, X1 S1 125.0, %3D %3D 5.8, S2 = 6.6 %3D State the null and alternative hypotheses. = 0 versus H3: (H1 - H2) > 0 = (7n – Tn) :ºH Ho: (H1 - H2) # 0 versus Ha: (u1 - 42) = 0 O Ho: (H1 - H2) = 0 versus H,: (H - H2) + 0 %3D Ho: (H1 - 42) = 0 versus H,: (41 - H2) < 0 Ho: (H1 - 42) < 0 versus H,: (H, - H2) > 0 Find the test statistic. (Round your answer to two decimal places.) z = Find the rejection region. (Round your answers to two decimal places. If the test is one-tailed, enter NONE for the unused region.) z > Z <

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 data given below. If your
research objective is to show that u, is larger than u,, use the critical value approach to test the appropriate hypothesis
with a = 0.01.
n, %3D п, 3D 50, X, %3D 125.0, х, 3D 123.5,
S1 = 5.8,
S2 = 6.6
State the null and alternative hypotheses.
O Ho: (H1 - H2) = 0 versus H,: (41 – H2) > 0
O Ho: (H1 – µ2) # 0 versus H: (H1 – H2) = 0
О но: (и, - и2) %3D 0 versus Hа: (и, — и2) + 0
O Ho: (H, - H2) = 0 versus H,: (H1 – H2) < 0
Но: (и, - и2) <O versus H,: (и, - и2) > 0
Find the test statistic. (Round your answer to two decimal places.)
z =
Find the rejection region. (Round your answers to two decimal places. If the test is one-tailed, enter NONE for the unused
region.)
z >
z <
Transcribed Image Text:Independent random samples were selected from two quantitative populations, with sample data given below. If your research objective is to show that u, is larger than u,, use the critical value approach to test the appropriate hypothesis with a = 0.01. n, %3D п, 3D 50, X, %3D 125.0, х, 3D 123.5, S1 = 5.8, S2 = 6.6 State the null and alternative hypotheses. O Ho: (H1 - H2) = 0 versus H,: (41 – H2) > 0 O Ho: (H1 – µ2) # 0 versus H: (H1 – H2) = 0 О но: (и, - и2) %3D 0 versus Hа: (и, — и2) + 0 O Ho: (H, - H2) = 0 versus H,: (H1 – H2) < 0 Но: (и, - и2) <O versus H,: (и, - и2) > 0 Find the test statistic. (Round your answer to two decimal places.) z = Find the rejection region. (Round your answers to two decimal places. If the test is one-tailed, enter NONE for the unused region.) z > z <
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