Independent random samples from normal populations produced the results shown below. Assume the variance of the two samples are the same. Sample 1: 5.9, 5.0, 3.8, 4.6, 5.2 Sample 2: 4.4, 6.1, 5.2, 5.7 (1) Can we conclude that 1 is less than 42 by more than 1 using a = .10. (2) Use P-value method to perform above hypothesis at a = .20 (3) Find a 90% confidence interval for (1-2) for a two-sided interval.

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 from normal populations produced the results shown below.
Assume the variance of the two samples are the same.
Sample 1: 5.9, 5.0, 3.8, 4.6, 5.2
Sample 2: 4.4, 6.1, 5.2, 5.7
(1) Can we conclude that 1 is less than 42 by more than 1 using a = .10.
(2) Use P-value method to perform above hypothesis at a = .20
(3) Find a 90% confidence interval for (1-2) for a two-sided interval.
Transcribed Image Text:Independent random samples from normal populations produced the results shown below. Assume the variance of the two samples are the same. Sample 1: 5.9, 5.0, 3.8, 4.6, 5.2 Sample 2: 4.4, 6.1, 5.2, 5.7 (1) Can we conclude that 1 is less than 42 by more than 1 using a = .10. (2) Use P-value method to perform above hypothesis at a = .20 (3) Find a 90% confidence interval for (1-2) for a two-sided interval.
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,