Note: Use Excel to perform ANOVA calculations for the following problems. You can use Excel to do other requirements as well. You need to report the relevant results only, e.g., ANOVA table, plots, and tests conclusions. The following links for videos show how to perform ANOVA in Excel: Problem 1: ANOVA, Problem 2: Two-Factor ANOVA. 1) It is suspected that the breaking strength of a synthetic fiber is related to the percentage of cotton in the fiber. Five levels of cotton percentage were used, and five replicates were run in random order, resulting in the following data. a) Does cotton percentage affect breaking strength? Draw comparative box plots and perform an analysis of variance. Use α = 0.05. b) Plot the average tensile strength against cotton percentage and interpret the results. c) Analyze the residuals and comment on model adequacy. d) If (a) results in rejecting the null hypothesis, compare the means of the treatments graphically using the procedure described at class. What are your observations? Which cotton percentages result in higher/lower average tensile strength than other treatments? Tensile Strength Cotton (%) 15 7 8 15 11 9 20 12 17 12 18 18 25 14 18 18 19 19 30 19 25 22 19 23 35 7 10 11 15 11
Note: Use Excel to perform ANOVA calculations for the following problems. You can use Excel to do other requirements as well. You need to report the relevant results only, e.g., ANOVA table, plots, and tests conclusions. The following links for videos show how to perform ANOVA in Excel: Problem 1: ANOVA, Problem 2: Two-Factor ANOVA. 1) It is suspected that the breaking strength of a synthetic fiber is related to the percentage of cotton in the fiber. Five levels of cotton percentage were used, and five replicates were run in random order, resulting in the following data. a) Does cotton percentage affect breaking strength? Draw comparative box plots and perform an analysis of variance. Use α = 0.05. b) Plot the average tensile strength against cotton percentage and interpret the results. c) Analyze the residuals and comment on model adequacy. d) If (a) results in rejecting the null hypothesis, compare the means of the treatments graphically using the procedure described at class. What are your observations? Which cotton percentages result in higher/lower average tensile strength than other treatments? Tensile Strength Cotton (%) 15 7 8 15 11 9 20 12 17 12 18 18 25 14 18 18 19 19 30 19 25 22 19 23 35 7 10 11 15 11
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%
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
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