Homework Help is Here – Start Your Trial Now!
Math
Statistics
14. A random sample of n = 9 scores is selected from a normal population with a mean of μ = 100. After a treatment is administered to the individuals in the sample, the sample mean is found to be M = 106. a. If the population standard deviation is o= 10, is the sample mean sufficient to conclude that the treatment has a significant effect? Use a two-tailed test with a = .05. b. Repeat part a, assuming a one-tailed test with α= .05. c. If the population standard deviation is o = 12, is the sample mean sufficient to conclude that the treatment has a significant effect? Use a two-tailed test with a = = .05. d. Repeat part c, assuming a one-tailed test with α = .05. e. Comparing your answers for parts a through d, ex- plain how the magnitude of the standard deviation and the number of tails in the hypothesis influence the outcome of a hypothesis test.

14. A random sample of n = 9 scores is selected from a normal population with a mean of μ = 100. After a treatment is administered to the individuals in the sample, the sample mean is found to be M = 106. a. If the population standard deviation is o= 10, is the sample mean sufficient to conclude that the treatment has a significant effect? Use a two-tailed test with a = .05. b. Repeat part a, assuming a one-tailed test with α= .05. c. If the population standard deviation is o = 12, is the sample mean sufficient to conclude that the treatment has a significant effect? Use a two-tailed test with a = = .05. d. Repeat part c, assuming a one-tailed test with α = .05. e. Comparing your answers for parts a through d, ex- plain how the magnitude of the standard deviation and the number of tails in the hypothesis influence the outcome of a hypothesis test.

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
See similar textbooks
icon
Related questions
Question
Psych stats: show full work
**Problem 14: Statistical Hypothesis Testing** A random sample of \( n = 9 \) scores is selected from a normal population with a mean of \( \mu = 100 \). After a treatment is administered to the individuals in the sample, the sample mean is found to be \( M = 106 \). a. If the population standard deviation is \( \sigma = 10 \), is the sample mean sufficient to conclude that the treatment has a significant effect? Use a two-tailed test with \( \alpha = 0.05 \). b. Repeat part a, assuming a one-tailed test with \( \alpha = 0.05 \). c. If the population standard deviation is \( \sigma = 12 \), is the sample mean sufficient to conclude that the treatment has a significant effect? Use a two-tailed test with \( \alpha = 0.05 \). d. Repeat part c, assuming a one-tailed test with \( \alpha = 0.05 \). e. Comparing your answers for parts a through d, explain how the magnitude of the standard deviation and the number of tails in the hypothesis influence the outcome of a hypothesis test.
Transcribed Image Text:**Problem 14: Statistical Hypothesis Testing** A random sample of \( n = 9 \) scores is selected from a normal population with a mean of \( \mu = 100 \). After a treatment is administered to the individuals in the sample, the sample mean is found to be \( M = 106 \). a. If the population standard deviation is \( \sigma = 10 \), is the sample mean sufficient to conclude that the treatment has a significant effect? Use a two-tailed test with \( \alpha = 0.05 \). b. Repeat part a, assuming a one-tailed test with \( \alpha = 0.05 \). c. If the population standard deviation is \( \sigma = 12 \), is the sample mean sufficient to conclude that the treatment has a significant effect? Use a two-tailed test with \( \alpha = 0.05 \). d. Repeat part c, assuming a one-tailed test with \( \alpha = 0.05 \). e. Comparing your answers for parts a through d, explain how the magnitude of the standard deviation and the number of tails in the hypothesis influence the outcome of a hypothesis test.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 16 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS