Solv Important A manufacturer of laundry products is investigating the performance of a newly formulated stain remover. The new formulation is compared to the original formulation with respect to its ability to remove a standard tomato-like stain in a test article of cotton cloth using a factorial experiment. The other factors in the experiment are the number of times the test article is washed (1 or 2) and whether or not a detergent booster is used. The response variable is the stain shade after washing (12 is the darkest, 0 is the lightest). The data are shown in the following table. Number of Number of Washings Washings 1 2 Formulation Booster Booster No 1 6,5 6.5 3,2 New Original 10,9 11, 11 10,9 Dr. Asieh Abtahl-Faculty of Mathematics and Statistics islamic Azad University of Shiraz-Iran 1- Determine the response variable, factors (kind of factor), level, number of treatments, number of replications, number of experiments. 2- Determine the type of design experiment. √3- Write the model of design experiment. A Enter the data 5 Analyze data 6- Investigate the affect of the main factor on response variable. - Is there a significant interaction between the main factor? Use a = 0.05. /8- Analyze the residuals from this experiment. S Problems 0 Yes No Yes 4,1 9. 10.

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Solv
Important
A manufacturer of laundry products is investigating
the performance of a newly formulated stain remover. The
new formulation is compared to the original formulation with
respect to its ability to remove a standard tomato-like stain in
a test article of cotton cloth using a factorial experiment. The
other factors in the experiment are the number of times the test
article is washed (1 or 2) and whether or not a detergent booster
is used. The response variable is the stain shade after washing
(12 is the darkest, 0 is the lightest). The data are shown in the
following table.
Number of
Number of
Washings
Washings
1
2
Formulation
Booster
Booster
No
1
6,5
6.5
3,2
New
Original
10,9
11, 11
10,9
Dr. Asieh Abtahl-Faculty of Mathematics and Statistics.
islamic Azad University of Shiraz-Iran
1- Determine the response variable, factors (kind of factor), level, number of treatments,
number of replications, number of experiments.
2- Determine the type of design experiment.
√3- Write the model of design experiment.
A Enter the data
5 Analyze data
6- Investigate the affect of the main factor on response variable.
- Is there a significant interaction between the main factor? Use a = 0.05.
/8- Analyze the residuals from this experiment.
S
Problems
0
Yes
No
Yes
4,1
9. 10.
Transcribed Image Text:Solv Important A manufacturer of laundry products is investigating the performance of a newly formulated stain remover. The new formulation is compared to the original formulation with respect to its ability to remove a standard tomato-like stain in a test article of cotton cloth using a factorial experiment. The other factors in the experiment are the number of times the test article is washed (1 or 2) and whether or not a detergent booster is used. The response variable is the stain shade after washing (12 is the darkest, 0 is the lightest). The data are shown in the following table. Number of Number of Washings Washings 1 2 Formulation Booster Booster No 1 6,5 6.5 3,2 New Original 10,9 11, 11 10,9 Dr. Asieh Abtahl-Faculty of Mathematics and Statistics. islamic Azad University of Shiraz-Iran 1- Determine the response variable, factors (kind of factor), level, number of treatments, number of replications, number of experiments. 2- Determine the type of design experiment. √3- Write the model of design experiment. A Enter the data 5 Analyze data 6- Investigate the affect of the main factor on response variable. - Is there a significant interaction between the main factor? Use a = 0.05. /8- Analyze the residuals from this experiment. S Problems 0 Yes No Yes 4,1 9. 10.
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