A sample is selected from a population with u = 80. After a treatment is administered to the individuals, the sample mean is found to be M = 75 and the variance is s2 = 100. a). If the sample has n = 4 scores, then calculate the estimated standard error and determine whether the sample is sufficient to conclude that the treatment has a significant effect? Use a two-tailed test with a =.05. b). If the sample has n = 25 scores, then calculate the estimated standard error and determine whether the sample is sufficient to conclude that the treatment has a significant effect? Use a two-tailed test with a =.05. c). Describe how increasing the size of the sample affects the standard error and the likelihood of rejecting the null hypothesis.
A sample is selected from a population with u = 80. After a treatment is administered to the individuals, the sample mean is found to be M = 75 and the variance is s2 = 100. a). If the sample has n = 4 scores, then calculate the estimated standard error and determine whether the sample is sufficient to conclude that the treatment has a significant effect? Use a two-tailed test with a =.05. b). If the sample has n = 25 scores, then calculate the estimated standard error and determine whether the sample is sufficient to conclude that the treatment has a significant effect? Use a two-tailed test with a =.05. c). Describe how increasing the size of the sample affects the standard error and the likelihood of rejecting the null hypothesis.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![**Statistical Analysis of Treatment Effects**
4. A sample is selected from a population with \( \mu = 80 \). After a treatment is administered to the individuals, the sample mean is found to be \( M = 75 \) and the variance is \( s^2 = 100 \).
a) If the sample has \( n = 4 \) scores, then calculate the estimated standard error and determine whether the sample is sufficient to conclude that the treatment has a significant effect. Use a two-tailed test with \( \alpha = 0.05 \).
b) If the sample has \( n = 25 \) scores, then calculate the estimated standard error and determine whether the sample is sufficient to conclude that the treatment has a significant effect. Use a two-tailed test with \( \alpha = 0.05 \).
c) Describe how increasing the size of the sample affects the standard error and the likelihood of rejecting the null hypothesis.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1639e60e-89cf-4f82-a7ff-e5a1f29b866b%2F392472ed-2027-4fb7-8fa8-37a8c5f7a917%2F8zm9qlb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Statistical Analysis of Treatment Effects**
4. A sample is selected from a population with \( \mu = 80 \). After a treatment is administered to the individuals, the sample mean is found to be \( M = 75 \) and the variance is \( s^2 = 100 \).
a) If the sample has \( n = 4 \) scores, then calculate the estimated standard error and determine whether the sample is sufficient to conclude that the treatment has a significant effect. Use a two-tailed test with \( \alpha = 0.05 \).
b) If the sample has \( n = 25 \) scores, then calculate the estimated standard error and determine whether the sample is sufficient to conclude that the treatment has a significant effect. Use a two-tailed test with \( \alpha = 0.05 \).
c) Describe how increasing the size of the sample affects the standard error and the likelihood of rejecting the null hypothesis.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
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.Recommended textbooks for you
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
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…](https://www.bartleby.com/isbn_cover_images/9780134683416/9780134683416_smallCoverImage.gif)
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
![The Basic Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319042578/9781319042578_smallCoverImage.gif)
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](https://www.bartleby.com/isbn_cover_images/9781319013387/9781319013387_smallCoverImage.gif)
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman