hree students, Linda, Tuan, and Javier, are given laboratory rats for a nutritional experiment. Each rat's weight is recorded in grams. Linda feeds her rats Formula A, Tuan feeds his rats Formula B, and Javier feeds his rats Formula C. At the end of a specified time period, each rat is weighed again, and the net gain in grams is recorded. Using a significance level of 0.05, test the hypothesis that the three formulas produce the same mean weight gain. H0: μ1 = μ2 = μ3 Ha: At least two of the means differ from each other Forumla A Forumla B Forumla C 35.9 9.1 33.1 37.9 11.7 42.8 43.7 24.9 39.6 29.8 30.7 41.4 52.2 47.8 42.2 34.8 32.1 38.3 48.5 33.1 46.3 46.5 35.9 48.8 42.8 51.4 35.1 Run a one-factor ANOVA with α=0.05α=0.05. Report the F-ratio to 4 decimal places and the p-value to 4 decimal places. F = p-value = Based on the p-value, what is the conclusion Reject the null hypothesis: at least one of the group means is different Fail to reject the null hypothesis: not sufficient evidence to suggest the group means are different
hree students, Linda, Tuan, and Javier, are given laboratory rats for a nutritional experiment. Each rat's weight is recorded in grams. Linda feeds her rats Formula A, Tuan feeds his rats Formula B, and Javier feeds his rats Formula C. At the end of a specified time period, each rat is weighed again, and the net gain in grams is recorded. Using a significance level of 0.05, test the hypothesis that the three formulas produce the same mean weight gain. H0: μ1 = μ2 = μ3 Ha: At least two of the means differ from each other Forumla A Forumla B Forumla C 35.9 9.1 33.1 37.9 11.7 42.8 43.7 24.9 39.6 29.8 30.7 41.4 52.2 47.8 42.2 34.8 32.1 38.3 48.5 33.1 46.3 46.5 35.9 48.8 42.8 51.4 35.1 Run a one-factor ANOVA with α=0.05α=0.05. Report the F-ratio to 4 decimal places and the p-value to 4 decimal places. F = p-value = Based on the p-value, what is the conclusion Reject the null hypothesis: at least one of the group means is different Fail to reject the null hypothesis: not sufficient evidence to suggest the group means are different
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
Topic Video
Question
Three students, Linda, Tuan, and Javier, are given laboratory rats for a nutritional experiment. Each rat's weight is recorded in grams. Linda feeds her rats Formula A, Tuan feeds his rats Formula B, and Javier feeds his rats Formula C. At the end of a specified time period, each rat is weighed again, and the net gain in grams is recorded. Using a significance level of 0.05, test the hypothesis that the three formulas produce the same mean weight gain.
H0: μ1 = μ2 = μ3
Ha: At least two of the means differ from each other
Forumla A | Forumla B | Forumla C |
---|---|---|
35.9 | 9.1 | 33.1 |
37.9 | 11.7 | 42.8 |
43.7 | 24.9 | 39.6 |
29.8 | 30.7 | 41.4 |
52.2 | 47.8 | 42.2 |
34.8 | 32.1 | 38.3 |
48.5 | 33.1 | 46.3 |
46.5 | 35.9 | 48.8 |
42.8 | 51.4 | 35.1 |
Run a one-factor ANOVA with α=0.05α=0.05. Report the F-ratio to 4 decimal places and the p-value to 4 decimal places.
F =
p-value =
Based on the p-value, what is the conclusion
- Reject the null hypothesis: at least one of the group means is different
- Fail to reject the null hypothesis: not sufficient evidence to suggest the group means are different
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 1 images
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
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman