Assume that you have a sample of n1 = 7, with the sample mean XBar X1 = 44, and a sample standard deviation of S1 = 5, and you have an independent sample of n2 = 14 from another population with a sample mean XBar X2 = 36 and sample standard deviation S2 = 6. a. Using the level of significance α = 0.01, what is the critical value for a one tail test of the hypothesis H0:µ1 ≤ µ2 against the alternative H1:µ1 > µ2? b. What is your statistical decision?

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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Assume that you have a sample of n1 = 7, with the sample mean XBar X1 = 44, and a sample standard deviation of S1 = 5, and you have an independent sample of n2 = 14 from another population with a sample mean XBar X2 = 36 and sample standard deviation S2 = 6.

a. Using the level of significance α = 0.01, what is the critical value for a one tail test of the hypothesis H0:µ1 ≤ µ2 against the alternative H1:µ1 > µ2?
b. What is your statistical decision?

 

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