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A random sample is obtained from a population with a m=45. After a treatment is administered to the individuals in the sample, the sample mean is M=53 with a standard deviation of s=12. Assuming that the sample consists of n=9 people, is there sufficient evidence to conclude that the treatment has a significant effect (two-tailed, with a=.05). Assuming that the sample consists of n=16 people, is there sufficient evidence to conclude that the treatment has a significant effect (two-tailed, with a=.05). Given the same mean and standard deviation (M=53, s=12). At what sample size does the effect become significant?

A random sample is obtained from a population with a m=45. After a treatment is administered to the individuals in the sample, the sample mean is M=53 with a standard deviation of s=12. Assuming that the sample consists of n=9 people, is there sufficient evidence to conclude that the treatment has a significant effect (two-tailed, with a=.05). Assuming that the sample consists of n=16 people, is there sufficient evidence to conclude that the treatment has a significant effect (two-tailed, with a=.05). Given the same mean and standard deviation (M=53, s=12). At what sample size does the effect become significant?

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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  1. A random sample is obtained from a population with a m=45. After a treatment is administered to the individuals in the sample, the sample mean is M=53 with a standard deviation of s=12.
    1. Assuming that the sample consists of n=9 people, is there sufficient evidence to conclude that the treatment has a significant effect (two-tailed, with a=.05).
    2. Assuming that the sample consists of n=16 people, is there sufficient evidence to conclude that the treatment has a significant effect (two-tailed, with a=.05).
    3. Given the same mean and standard deviation (M=53, s=12). At what sample size does the effect become significant? 
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