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A random sample of n = 4 individuals is selected from a population with µ = 35, and a treatment is administered to each individual in the sample. After treatment, the sample mean is found to be M = 40.1 with SS = 48. 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 the 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 statistic.) c. Based on the sample data, does the treatment have a significant effect? Use a two-tailed test with α = .05.

A random sample of n = 4 individuals is selected from a population with µ = 35, and a treatment is administered to each individual in the sample. After treatment, the sample mean is found to be M = 40.1 with SS = 48. 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 the 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 statistic.) c. Based on the sample data, does the treatment have a significant effect? Use a two-tailed test with α = .05.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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**Question 12:** A random sample of \( n = 4 \) individuals is selected from a population with \( \mu = 35 \), and a treatment is administered to each individual in the sample. After treatment, the sample mean is found to be \( M = 40.1 \) with \( SS = 48 \). 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 the \( t \) statistic.)* b. If there is no treatment effect, how much difference 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 \( \alpha = .05 \).
Transcribed Image Text:**Question 12:** A random sample of \( n = 4 \) individuals is selected from a population with \( \mu = 35 \), and a treatment is administered to each individual in the sample. After treatment, the sample mean is found to be \( M = 40.1 \) with \( SS = 48 \). 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 the \( t \) statistic.)* b. If there is no treatment effect, how much difference 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 \( \alpha = .05 \).
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