In Design and Analysis of Experiments, 5th edition (John Wiley & Sons, 2001)D. C. Montgomery describes an experiment in which the tensile strength of asynthetic fiber is of interest to the manufacturer. It is suspected that strength isrelated to the percentage of cotton in the fiber. Five levels of cotton percentageare used, and five replicates are run in random order, resulting in the databelow.CottonPercentage15Observations317 1512 17 1214 18 1819 25 22 19 237 10 11 15 117.1118 1819 196.20253035After displaying the ANOVA table with the test Ho :all means are equal againstHa: at least two of ui's are unequal. Find the test statistic values andcorresponding P-value. What is your conclusion if a = 0.05?O a. f- 14.7568 P-value3D0, reject HoO b. f 10.215734, P-value=0.5, do not reject HoO C. f= 10.215734,P-value=D0, reject HoO d. f= 14.7568, P-value3D0, do not reject Hoo e. f= 1.47568, P-value=D0, reject Ho

We have used the excel data analysis tool to run the ANOVA analysis

O a. f= 14.7568 P-value=D0, reject Ho O b. f = 10.215734, P-value=0.5, do not reject Ho O C. f = 10.215734,P-value=0, reject Ho Od. o d. f = 14.7568,P-value=0, do not reject Ho 17568 D value-0 reiect H.

O a. f= 14.7568 P-value=D0, reject Ho O b. f = 10.215734, P-value=0.5, do not reject Ho O C. f = 10.215734,P-value=0, reject Ho Od. o d. f = 14.7568,P-value=0, do not reject Ho 17568 D value-0 reiect H.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

In Design and Analysis of Experiments, 5th edition (John Wiley & Sons, 2001)
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.
Cotton
Percentage
15
Observations
3
1
7 15
12 17 12
14 18 18
19 25 22 19 23
7 10 11 15 11
7.
11
18 18
19 19
6.
20
25
30
35
After displaying the ANOVA table with the test Ho :all means are equal against
Ha: at least two of ui's are unequal. Find the test statistic values and
corresponding P-value. What is your conclusion if a = 0.05?
O a. f- 14.7568 P-value3D0, reject Ho
O b. f 10.215734, P-value=0.5, do not reject Ho
O C. f= 10.215734,P-value=D0, reject Ho
O d. f= 14.7568, P-value3D0, do not reject Ho
o e. f= 1.47568, P-value=D0, reject Ho

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