A random sample is selected from a normal popula- tion with a mean of u = 40 and a standard deviation of o = 10. After a treatment is administered to the %3D individuals in the sample, the sample mean is found to be M = 46. a. How large a sample is necessary for this sample mean to be statistically significant? Assume a two- tailed test with a = .05. b. If the sample mean were M = 43, what sample size is needed to be significant for a two-tailed test with %3D a = .05? %3D

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A random sample is selected from a normal popula-
tion with a mean of u = 40 and a standard deviation
of o = 10. After a treatment is administered to the
%3D
individuals in the sample, the sample mean is found to
be M = 46.
a. How large a sample is necessary for this sample
mean to be statistically significant? Assume a two-
tailed test with a = .05.
b. If the sample mean were M = 43, what sample size
is needed to be significant for a two-tailed test with
%3D
a = .05?
%3D
Transcribed Image Text:A random sample is selected from a normal popula- tion with a mean of u = 40 and a standard deviation of o = 10. After a treatment is administered to the %3D individuals in the sample, the sample mean is found to be M = 46. a. How large a sample is necessary for this sample mean to be statistically significant? Assume a two- tailed test with a = .05. b. If the sample mean were M = 43, what sample size is needed to be significant for a two-tailed test with %3D a = .05? %3D
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