Problem 1: Imagine you manufacture paper bags and you want to improve the tensile strength of the bag. You suspect that changing the concentration of hardwood in the bag will change the tensile strength. You measure the tensile strength in pounds per square inch (PSI). So, you decide to test this at 5%, 10%, 15% and 20% hardwood concentration levels. Imagine that you've conducted random trials at each of the four levels of hardwood concentration. The data obtained are presented in the table. Test at 0.05 level of significance whether there are significant differences among the treatments. Hardwood concentration % 5% 10% 15% 20% Obs1 12 14 19 Obs2 8 17 18 25 Obs3 Obs4 15 13 18 19 22 23 11 17 Obs5 9. 19 16 18 Obsó 10 15 18 20
Problem 1: Imagine you manufacture paper bags and you want to improve the tensile strength of the bag. You suspect that changing the concentration of hardwood in the bag will change the tensile strength. You measure the tensile strength in pounds per square inch (PSI). So, you decide to test this at 5%, 10%, 15% and 20% hardwood concentration levels. Imagine that you've conducted random trials at each of the four levels of hardwood concentration. The data obtained are presented in the table. Test at 0.05 level of significance whether there are significant differences among the treatments. Hardwood concentration % 5% 10% 15% 20% Obs1 12 14 19 Obs2 8 17 18 25 Obs3 Obs4 15 13 18 19 22 23 11 17 Obs5 9. 19 16 18 Obsó 10 15 18 20
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
100%
Help me answer these problems : One-way ANOVA
Provide the ANOVA Table for each problem. An example ANOVA table is presented below:
![Instruction:
Provide the ANOVA Table for each problem. An example ANOVA table is
presented below:
Source of Variation
SS
df
MS
p-value
Between Groups
Within Groups
Total
Problem 1:
Problem 3:
A pharmaceutical company conducts an experiment to test the effect of a
new cholesterol medication. The company selects 15 subjects randomly from a
larger population. Each subject is randomly assigned to one of three treatment
groups. Within each treatment group, subjects receive a different dose of the
new medication. In Group 1, subjects receive 0 mg/day; in Group 2, 50 mg/day;B
and in Group 3, 100 mg/day. The treatment levels represent all the levels of
interest to the experimenter, so this experiment used a fixed-effects model to
select treatment levels for study. After 30 days, doctors measure the cholesterol
level of each subject. The results for all 15 subjects appear in the table below.
Test at 0.01 level of significance whether there are significant differences among
the treatments.
Imagine you manufacture paper bags and you want to improve the tensile
strength of the bag. You suspect that changing the concentration of hardwood
in the bag will change the tensile strength. You measure the tensile strength in
pounds per square inch (PSI). So, you decide to test this at 5%, 10%, 15% and 20%
hardwood concentration levels. Imagine that you've conducted random trials
at each of the four levels of hardwood concentration. The data obtained are
presented in the table. Test at 0.05 level of significance whether there are
significant differences among the treatments.
Hardwood concentration %
5%
10%
15%
20%
Obsl
12
14
19
Obs2
8
17
18
25
Obs3
15
13
19
22
TT
Group 1, 0 mg Group 2, 50 mg Group 3, 100 mg
Obs4
11
18
17
23
Subject1
Subject2
Subject3
Subject4
Subject5
210
210
180
Obs5
19
16
18
240
240
210
Obsó
10
15
18
20
270
240
210
270
270
210
300
270
240](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9f833115-a06d-430c-b043-10288232c671%2Fa3e36abd-bb78-49d3-95e5-6846ab54ee40%2Fb1shvf4_processed.png&w=3840&q=75)
Transcribed Image Text:Instruction:
Provide the ANOVA Table for each problem. An example ANOVA table is
presented below:
Source of Variation
SS
df
MS
p-value
Between Groups
Within Groups
Total
Problem 1:
Problem 3:
A pharmaceutical company conducts an experiment to test the effect of a
new cholesterol medication. The company selects 15 subjects randomly from a
larger population. Each subject is randomly assigned to one of three treatment
groups. Within each treatment group, subjects receive a different dose of the
new medication. In Group 1, subjects receive 0 mg/day; in Group 2, 50 mg/day;B
and in Group 3, 100 mg/day. The treatment levels represent all the levels of
interest to the experimenter, so this experiment used a fixed-effects model to
select treatment levels for study. After 30 days, doctors measure the cholesterol
level of each subject. The results for all 15 subjects appear in the table below.
Test at 0.01 level of significance whether there are significant differences among
the treatments.
Imagine you manufacture paper bags and you want to improve the tensile
strength of the bag. You suspect that changing the concentration of hardwood
in the bag will change the tensile strength. You measure the tensile strength in
pounds per square inch (PSI). So, you decide to test this at 5%, 10%, 15% and 20%
hardwood concentration levels. Imagine that you've conducted random trials
at each of the four levels of hardwood concentration. The data obtained are
presented in the table. Test at 0.05 level of significance whether there are
significant differences among the treatments.
Hardwood concentration %
5%
10%
15%
20%
Obsl
12
14
19
Obs2
8
17
18
25
Obs3
15
13
19
22
TT
Group 1, 0 mg Group 2, 50 mg Group 3, 100 mg
Obs4
11
18
17
23
Subject1
Subject2
Subject3
Subject4
Subject5
210
210
180
Obs5
19
16
18
240
240
210
Obsó
10
15
18
20
270
240
210
270
270
210
300
270
240
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 2 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
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