10. A random sample of n = 25 individuals is selected from a population with u = 20, and a treatment is administered to each individual in the sample. After treatment, the sample mean is found to be M = 22.2 with SS = 384. %3D a. How much difference is there between the mean for the treated sample and the mean for the original population? (Note: In a hypothesis test, this value forms the numerator of thet statistic.) b. If there is no treatment effect, how much differ- ence is expected between the sample mean and its population mean? That is, find the standard error for M. (Note: In a hypothesis test, this value is the denominator of the t statistic.) c. Based on the sample data, does the treatment have a significant effect? Use a two-tailed test with a = .05.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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10. A random sample of n = 25 individuals is selected
from a population with u = 20, and a treatment is
administered to each individual in the sample. After
treatment, the sample mean is found to be M = 22.2
with SS = 384.
%3D
a. How much difference is there between the mean
for the treated sample and the mean for the original
population? (Note: In a hypothesis test, this value
forms the numerator of thet statistic.)
b. If there is no treatment effect, how much differ-
ence is expected between the sample mean and its
population mean? That is, find the standard error
for M. (Note: In a hypothesis test, this value is the
denominator of the t statistic.)
c. Based on the sample data, does the treatment have a
significant effect? Use a two-tailed test with a =
.05.
Transcribed Image Text:10. A random sample of n = 25 individuals is selected from a population with u = 20, and a treatment is administered to each individual in the sample. After treatment, the sample mean is found to be M = 22.2 with SS = 384. %3D a. How much difference is there between the mean for the treated sample and the mean for the original population? (Note: In a hypothesis test, this value forms the numerator of thet statistic.) b. If there is no treatment effect, how much differ- ence is expected between the sample mean and its population mean? That is, find the standard error for M. (Note: In a hypothesis test, this value is the denominator of the t statistic.) c. Based on the sample data, does the treatment have a significant effect? Use a two-tailed test with a = .05.
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