In Design and Analysis of Experiments, 6th edition (John Wiley & Sons, 2005) D. C. Montgomery describes an experiment in which the tensile strength of a synthetic fiber is of interest to the manufacturer. It is suspected that strength is related to the percentage of cotton in the fiber. Five levels of cotton percentage are used, and five replicates are run in random order, resulting in the data below. Observations Cotton Percentage 2 3 4 1 7 15 11 9 15 7 12 17 12 18 18 20 14 18 18 19 19 25 30 19 25 22 19 23 35 10 11 15 11 (a) Analyze the box plot to determine if cotton percentage has an effect on breaking strength. Does cotton percentage affect breaking strength? COTTON (b) Perform an analysis of variance to determine if cotton percentage appears to have an effect on breaking strength. Use a = 0.05. Calculate to 2 decimal places fo: Does cotton percentage affect breaking strength? (c) Analyze the following residual plots to determine model adequacy. Does the assumption of normality seem reasonable? Does the assumption of constant variance seem reasonable? STRENGTH
In Design and Analysis of Experiments, 6th edition (John Wiley & Sons, 2005) D. C. Montgomery describes an experiment in which the tensile strength of a synthetic fiber is of interest to the manufacturer. It is suspected that strength is related to the percentage of cotton in the fiber. Five levels of cotton percentage are used, and five replicates are run in random order, resulting in the data below. Observations Cotton Percentage 2 3 4 1 7 15 11 9 15 7 12 17 12 18 18 20 14 18 18 19 19 25 30 19 25 22 19 23 35 10 11 15 11 (a) Analyze the box plot to determine if cotton percentage has an effect on breaking strength. Does cotton percentage affect breaking strength? COTTON (b) Perform an analysis of variance to determine if cotton percentage appears to have an effect on breaking strength. Use a = 0.05. Calculate to 2 decimal places fo: Does cotton percentage affect breaking strength? (c) Analyze the following residual plots to determine model adequacy. Does the assumption of normality seem reasonable? Does the assumption of constant variance seem reasonable? STRENGTH
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%
![Normal Probability Plot of the Resduals
response s STRENGTH
2.
Narmal Sore
ResidualsVersus the Fitted Values
(sponsa is STRE NOTH)
15
20
FRed Vaue
Resduals Versus COTTON
sponse is STRE NG TH)
26
COTTON
pps](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6684c23c-8405-414e-825d-bce92746ac23%2Fc1c6a6b8-7844-4345-897f-e02402afc6fc%2Fzlcygr9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Normal Probability Plot of the Resduals
response s STRENGTH
2.
Narmal Sore
ResidualsVersus the Fitted Values
(sponsa is STRE NOTH)
15
20
FRed Vaue
Resduals Versus COTTON
sponse is STRE NG TH)
26
COTTON
pps
![In Design and Analysis of Experiments, 6th edition (John Wiley & Sons, 2005) D. C. Montgomery describes an experiment in which the
tensile strength of a synthetic fiber is of interest to the manufacturer. It is suspected that strength is related to the percentage of
cotton in the fiber. Five levels of cotton percentage are used, and five replicates are run in random order, resulting in the data below.
Observations
Cotton Percentage
2 3 4
1
7 15 11 9
15
7
12 17 12 18 18
20
14 18 18 19 19
25
30
19 25 22 19 23
35
10 11 15 11
(a) Analyze the box plot to determine if cotton percentage has an effect on breaking strength.
Does cotton percentage affect breaking strength?
COTTON
(b) Perform an analysis of variance to determine if cotton percentage appears to have an effect on breaking strength. Use a = 0.05.
Calculate to 2 decimal places fo:
Does cotton percentage affect breaking strength?
(c) Analyze the following residual plots to determine model adequacy.
Does the assumption of normality seem reasonable?
Does the assumption of constant variance seem reasonable?
STRENGTH](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6684c23c-8405-414e-825d-bce92746ac23%2Fc1c6a6b8-7844-4345-897f-e02402afc6fc%2F3siw8fk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:In Design and Analysis of Experiments, 6th edition (John Wiley & Sons, 2005) D. C. Montgomery describes an experiment in which the
tensile strength of a synthetic fiber is of interest to the manufacturer. It is suspected that strength is related to the percentage of
cotton in the fiber. Five levels of cotton percentage are used, and five replicates are run in random order, resulting in the data below.
Observations
Cotton Percentage
2 3 4
1
7 15 11 9
15
7
12 17 12 18 18
20
14 18 18 19 19
25
30
19 25 22 19 23
35
10 11 15 11
(a) Analyze the box plot to determine if cotton percentage has an effect on breaking strength.
Does cotton percentage affect breaking strength?
COTTON
(b) Perform an analysis of variance to determine if cotton percentage appears to have an effect on breaking strength. Use a = 0.05.
Calculate to 2 decimal places fo:
Does cotton percentage affect breaking strength?
(c) Analyze the following residual plots to determine model adequacy.
Does the assumption of normality seem reasonable?
Does the assumption of constant variance seem reasonable?
STRENGTH
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