The z-test 10.1 Assume that a treatment does have an effect and that the treatment effect is being evaluated with a z hypothesis test. If all factors are held constant, how is the outcome of the hypothesis test influenced by sample size? To answer this question, do the following two tests and compare the results. For both tests, a sample is selected from a normal population distribution with a mean of u = 32 and %3D a standard deviation of o = 11. After the treatment is administered to the individuals in the sample, the sample mean is found to be M = 35. In each case, use a two-tailed test with a = .05. For the first test, assume that the sample consists of n = 16 individuals. For the second test, assume that the sample consists of n = 64 individuals. Explain in your own words how the outcome of the hypothesis test is influenced by the sample size. а. b. с. (Note: Be sure and show a full diggram of the research design. Also show all steps and

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question
The z-test
Assume that a treatment does have an effect and that the treatment effect is being
evaluated with a z hypothesis test. If all factors are held constant, how is the
outcome of the hypothesis test influenced by sample size? To answer this
question, do the following two tests and compare the results. For both tests, a
sample is selected from a normal population distribution with a mean of u = 32 and
a standard deviation of o = 11. After the treatment is administered to the
individuals in the sample, the sample mean is found to be M = 35. In each case, use
10.1
a two-tailed test with a = .05.
For the first test, assume that the sample consists of n = 16 individuals.
For the second test, assume that the sample consists of n = 64 individuals.
Explain in your own words how the outcome of the hypothesis test is
influenced by the sample size.
а.
b.
с.
(Note: Be sure and show a full diagram of the research design. Also show all steps and
calculations you made for each test following the process outlined in the z-test formula
sheet handout. What statistical decision do you make in each case? Finally report your
Transcribed Image Text:The z-test Assume that a treatment does have an effect and that the treatment effect is being evaluated with a z hypothesis test. If all factors are held constant, how is the outcome of the hypothesis test influenced by sample size? To answer this question, do the following two tests and compare the results. For both tests, a sample is selected from a normal population distribution with a mean of u = 32 and a standard deviation of o = 11. After the treatment is administered to the individuals in the sample, the sample mean is found to be M = 35. In each case, use 10.1 a two-tailed test with a = .05. For the first test, assume that the sample consists of n = 16 individuals. For the second test, assume that the sample consists of n = 64 individuals. Explain in your own words how the outcome of the hypothesis test is influenced by the sample size. а. b. с. (Note: Be sure and show a full diagram of the research design. Also show all steps and calculations you made for each test following the process outlined in the z-test formula sheet handout. What statistical decision do you make in each case? Finally report your
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
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