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Suppose that for two populations that are approximately normally distributed with means M1 and M2 and standard deviations S1 and S2, you wish to test the hypothesis H0: M1 = M2 versus H0: M1! = M2. Discuss how your testing procedure will differ if you assume that the population variances are: 1) known and equal; 2) known but unequal; 3) unknown and equal; 4) unknown but unequal.

Suppose that for two populations that are approximately normally distributed with means M1 and M2 and standard deviations S1 and S2, you wish to test the hypothesis H0: M1 = M2 versus H0: M1! = M2. Discuss how your testing procedure will differ if you assume that the population variances are: 1) known and equal; 2) known but unequal; 3) unknown and equal; 4) unknown but unequal.

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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Suppose that for two populations that are approximately normally distributed with means M1 and M2 and standard deviations S1 and S2, you wish to test the hypothesis H0: M1 = M2 versus H0: M1! = M2. Discuss how your testing procedure will differ if you assume that the population variances are: 1) known and equal; 2) known but unequal; 3) unknown and equal; 4) unknown but unequal.
Transcribed Image Text:Suppose that for two populations that are approximately normally distributed with means M1 and M2 and standard deviations S1 and S2, you wish to test the hypothesis H0: M1 = M2 versus H0: M1! = M2. Discuss how your testing procedure will differ if you assume that the population variances are: 1) known and equal; 2) known but unequal; 3) unknown and equal; 4) unknown but unequal.
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