strength, the strength of the fiber. You want to determine the best level of the cotto terms of percent, to achieve the highest tensile strength of the fiber. Therefore, we hav 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%. have performed the experiments randomly with Four replicates (i.e. four runs on each the five cotton weight percentages). Cotton Weight Observations "Replications"

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter2: Exponential, Logarithmic, And Trigonometric Functions
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Problem 2:
You are working in a cloth factory that uses synthetic fibers in making these cloths. You
were given the task to investigate the formulation of the fibers. The purpose is to
investigate the fibers strength in terms of cotton percentage. The response is tensile
strength, the strength of the fiber. You want 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%. You
have performed the experiments randomly with Four replicates (i.e. four runs on each of
the five cotton weight percentages).
Cotton Weight
Observations "Replications"
Percentage
1
2
3
4
15
7
7
15
11
20
12
17
12
18
25
14
18
18
19
30
19
25
22
19
35
7
10
11
15
1. Analyze visually using graphical representation
2. Build model step by step starting from the symbolic representation of the model (u, t...)
3. State the hypothesis as claims (words) as well as in terms of mode parameters
4. Analyze the data to test the hypothesis
5.
Check the assumptions used for the model
6. Perform post-ANOVA comparisons
Transcribed Image Text:Problem 2: You are working in a cloth factory that uses synthetic fibers in making these cloths. You were given the task to investigate the formulation of the fibers. The purpose is to investigate the fibers strength in terms of cotton percentage. The response is tensile strength, the strength of the fiber. You want 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%. You have performed the experiments randomly with Four replicates (i.e. four runs on each of the five cotton weight percentages). Cotton Weight Observations "Replications" Percentage 1 2 3 4 15 7 7 15 11 20 12 17 12 18 25 14 18 18 19 30 19 25 22 19 35 7 10 11 15 1. Analyze visually using graphical representation 2. Build model step by step starting from the symbolic representation of the model (u, t...) 3. State the hypothesis as claims (words) as well as in terms of mode parameters 4. Analyze the data to test the hypothesis 5. Check the assumptions used for the model 6. Perform post-ANOVA comparisons
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