a sample of n=16 individuals is selected from a population with u = 30. After a treatment is administered to the individuals, the sample mean is found to be m = 33 . the researcher expects the treatments will increase scores on a variable.  (a) assuming the sample variance is s^2 = 10 , conduct a hypothesis test to evaluate the significance of the treatment use a one-tailed test with alpha = 0.01. what conclusion would you draw?        (b) assuming the sample variance is s^2 = 55, conduct a hypothesis test to evaluate the significance of the treatment effect. use a one-tailed test with alpha = 0.01. what conclusion would you draw?  (c) describe how increasing variance affects the likelihood of rejecting the null hypothesis and the measure of effect size.

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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a sample of n=16 individuals is selected from a population with u = 30. After a treatment is administered to the individuals, the sample mean is found to be m = 33 . the researcher expects the treatments will increase scores on a variable.  (a) assuming the sample variance is s^2 = 10 , conduct a hypothesis test to evaluate the significance of the treatment use a one-tailed test with alpha = 0.01. what conclusion would you draw?        (b) assuming the sample variance is s^2 = 55, conduct a hypothesis test to evaluate the significance of the treatment effect. use a one-tailed test with alpha = 0.01. what conclusion would you draw?  (c) describe how increasing variance affects the likelihood of rejecting the null hypothesis and the measure of effect size.

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Calculus For The Life Sciences
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,