The Sturdy Fabric recently started an investigation into the formulation of synthetic fibers that are used to make cloth. The response the company is interested in is the tensile strength of the fiber. The experimenter wants to determine the best level of the cotton in terms of percent, to achieve the highest tensile strength of the fiber. Therefore, we have a single quantitative factor, the percent of cotton combined with synthetic fabric fibers. The five treatment levels of percent cotton are evenly spaced from 15% to 35%. We have five replicates, five runs on each of the five cotton weight percentages. Observations Cotton 1 2 3 4 5 7 7 15 11 9 Weight Percentage 15 20 12 17 12 18 18 25 14 18 18 19 19 30 19 25 22 19 23 35 7 7 10 11 15 11 1)-Use Minitab or other software to conduct Analysis of Variance and determine the best level (Percentage) of cotton that results in highest fiber strength 2)- Interpret the output (Analysis of Variance Table)

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Author:Amos Gilat
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Problem #1: Cotton Tensile Strength
The Sturdy Fabric recently started an investigation into the formulation of synthetic fibers that
are used to make cloth. The response the company is interested in is the tensile strength of the
fiber. The experimenter wants to determine the best level of the cotton in terms of percent, to
achieve the highest tensile strength of the fiber. Therefore, we have a single quantitative factor,
the percent of cotton combined with synthetic fabric fibers.
The five treatment levels of percent cotton are evenly spaced from 15% to 35%. We have five
replicates, five runs on each of the five cotton weight percentages.
Observations
Cotton
1 2 3 4 5
7 7
Weight Percentage
15
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
1)-Use Minitab or other software to conduct Analysis of Variance and determine the best level
(Percentage) of cotton that results in highest fiber strength
2)- Interpret the output (Analysis of Variance Table)
Transcribed Image Text:Problem #1: Cotton Tensile Strength The Sturdy Fabric recently started an investigation into the formulation of synthetic fibers that are used to make cloth. The response the company is interested in is the tensile strength of the fiber. The experimenter wants to determine the best level of the cotton in terms of percent, to achieve the highest tensile strength of the fiber. Therefore, we have a single quantitative factor, the percent of cotton combined with synthetic fabric fibers. The five treatment levels of percent cotton are evenly spaced from 15% to 35%. We have five replicates, five runs on each of the five cotton weight percentages. Observations Cotton 1 2 3 4 5 7 7 Weight Percentage 15 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 1)-Use Minitab or other software to conduct Analysis of Variance and determine the best level (Percentage) of cotton that results in highest fiber strength 2)- Interpret the output (Analysis of Variance Table)
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