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In: Operations Management
An experiment was performed to improve the yield of a chemical process. Four factors were selected,...
An experiment was performed to improve the yield of a chemical process. Four factors were selected, and two replicates of a completely randomized experiment were run. The results are shown in the following table:
a- Prepare an analysis of variance table and determine which factors are important in explaining yield. Factor A is significant – True or False Factor B is significant – True or False Factor C is significant – True or False Factor D is significant – True or False b- What is the P-value in the ANOVA table? Factor A: Factor B: Factor C: Factor D: c- Develop a regression model for predicting yield
d- Plot the residuals on a normal probability scale.Does the residual analysis appear satisfactory (Normal Distribution)? Is the residual Normal: Yes or No e- Provide the factorial and interaction plots.Where would you recommend that the process be run with respect to the four variables?
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Solutions
keosha answered 8 months agoRelated Solutions
An experiment was performed to improve the yield of a chemical process. Four factors were selected,...
An experiment was performed to improve the yield of a chemical
process. Four factors were selected, and two replicates of a
completely randomized experiment were run. Based on the ANOVA table
below, determine which factors are important in explaining yield.
Use α = 0.05.
A
B
C
D
AB
AC
AD
BC
BD
CD
ABC
ABD
ACD
BCD
ABCD
A 2^4-1 experiment was performed to improve the yield of a chemical process. Four factors were selected,...
A 2^4-1 experiment was performed to improve the yield
of a chemical process. Four factors were selected, and two
replicates were run. Due to raw materials constraints, it was
possible to run only 8 runs. Thus, the design generator D = ABC was
selected. The data are shown in the following table. Create the
standard order fractional factorial design in Minitab. Analyze the
fractional factorial design and, following the principle of
hierarchical order, remove all interaction terms then main effects
that...
Yield of Chemical Process Two catalysts were analyzed to determine how they affect the mean yield...
Yield of Chemical Process Two catalysts were
analyzed to determine how they affect the mean yield of chemical
process. Specifically, catalyst 1 is currently used; but catalyst 2
is acceptable. Because catalyst 2 is cheaper, it should be adopted,
if it does not change the process yield. Two tests were run in the
pilot plant. Eight samples of each type of catalyst were randomly
and independently selected from the pilot plant, and the chemical
process yield were recorded. The data...
To study the effect of temperature on yield in a chemical process, five batches were produced...
To study the effect of temperature on yield in a chemical
process, five batches were produced at each of three temperature
levels. The results follow.
Temperature
50°C
60°C
70°C
37
35
30
27
36
35
39
39
35
42
28
37
35
32
38
A. Construct an analysis of variance table (to 2 decimals, if
necessary). Round p-value to four decimal places.
Source of variation
sum of squares
degrees of freedom
mean square
F
P- Value
Treatments
Error
Total...
To study the effect of temperature on yield in a chemical process, five batches were produced...
To study the effect of temperature on yield in a chemical
process, five batches were produced at each of three temperature
levels. The results follow.
Temperature
50°C
60°C
70°C
32
34
29
22
35
34
34
38
34
37
27
36
30
31
37
a. Construct an analysis of variance table (to
2 decimals but p-value to 4 decimals, if necessary).
Source of Variation
Sum of Squares
Degrees of Freedom
Mean Square
F
p-value
Treatments
Error
Total
b. Use a level...
To study the effect of temperature on yield in a chemical process, five batches were produced...
To study the effect of temperature on yield in a chemical
process, five batches were produced at each of three temperature
levels. The results follow.
Temperature
50°C
60°C
70°C
32
30
25
22
31
30
34
34
30
37
23
32
30
27
33
a. Construct an analysis of variance table (to
2 decimals but p-value to 4 decimals, if necessary).
Source of
Variation
Sum of
Squares
Degrees of
Freedom
Mean Square
F
p-value
Treatments
Error
Total
b. Use a.05...
To study the effect of temperature on yield in a chemical process, five batches were produced...
To study the effect of temperature on yield in a chemical
process, five batches were produced at each of three temperature
levels. The results follow.
Temperature
50°C
60°C
70°C
31
33
23
21
34
28
33
37
28
36
26
30
29
30
31
a. Construct an analysis of variance table (to 2 decimals but
p-value to 4 decimals, if necessary).
b. Use a level of significance to test whether the temperature
level has an effect on the mean yield...
To study the effect of temperature on yield in a chemical process, five batches were produced...
To study the effect of temperature on yield in a chemical
process, five batches were produced at each of three temperature
levels. The results follow.
Temperature
50°C
60°C
70°C
34
28
27
24
29
32
36
32
32
39
21
34
32
25
35
Construct an analysis of
variance table (to 2 decimals, if necessary). Round
p-value to four decimal places.
To study the effect of temperature on yield in a chemical process, five batches were produced...
To study the effect of temperature on yield in a chemical
process, five batches were produced at each of three temperature
levels. The results follow.
Temperature
50°C
60°C
70°C
30
26
24
20
27
29
32
30
29
35
19
31
28
23
32
a. Construct an analysis of variance table (to
2 decimals but p-value to 4 decimals, if necessary).
Source of
Variation
Sum of
Squares
Degrees of
Freedom
Mean Square
F
p-value
Treatments
Error
Total
b. Use a...
To study the effect of temperature on yield in a chemical process, five batches were produced...
To study the effect of temperature on yield in a
chemical process, five batches were produced at each of the three
temperature level. The results follow.
50 degree C
60 degree C
70 degree C
32
31
25
22
32
30
34
35
30
37
24
32
30
28
33
A. Construct an analysis of variance table
Source Variation
Sum Squares
Degree Freedom
Mean Square
F
P-Value
Treatments
Error
Total
B. use .05 level of significance to test whether the...
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