Quiz
Section 1
The following data applies to Questions 1 to 7
Table 1
Question 1 (2 points)
In CODED units, what is the value of the sum of Time*Yield
Question 1 options:
23.679
None of the above
1.293
-23.679
Question 2 (2 points)
What is the value of n*r
Question 2 options:
8
4
16
2
Question 3 (2 points)
What is the effect due to catalyst?
Question 3 options:
0.324
0.323
1.293
0.162
Question 4 (2 points)
What is the Sum of Squares due to Temperature?
Question 4 options:
30.54
1.059
65.69
69.78
Question 5 (2 points)
Is the 3 way interaction Significant at the alpha=0.05 level
Question 5 options:
No
Yes
Question 6 (2 points)
In creating the defining equation what is the value of the constant term
Question 6 options:
0
69.78
23.679
35.56
Question 7 (2 points)
Given that S=0.3638, what is the F-value for temperature?
Question 7 options:
230.83
0.010
83.94
165.47
Section 2
Use the following to answer questions 8 , 9 and 10
The region of experimentation for two factors are temperature (100≤T≤300F) and catalyst feed rate
(10≤C≤30 lb/in. A first order model has been fitted using coded variables and the following model
obtained:
y= 2000 + 125 * Temperature + 40 * Catalyst
Question 8 (1 point)
What is the slope of the path of steepest ascent?
Question 8 options:
125/2000
(125+40)/2000
40/125
(125+40)/40
Question 9 (1 point)
For each step in the direction of temperature, how many steps do we take in the direction of catalyst
Question 9 options:
0.32
40
125
3.125
Question 10 (1 point)
It is desired to move to a region where y is above 2500. On the basis of the information you have,
about how many steps are along the path of steepest ascent might be required to move to the region
of interest?
Question 10 options:
1
2
3
4
Section 3
Use the following to answer Questions 11 to 19
Table 2
Consider the three-variable CCD shown. Analyze the data in Minitab and answer questions, assuming
that we want to maximize conversion with activity between 55 and 60
Question 11 (1 point)
Saved
In the full model for Conversion what is the p-value for the “lack-of-fit” term?
Question 11 options:
0.043
0.761
0.869
0.000
Question 12 (2 points)
Saved
In a reduced, hierarchical model for conversion what terms are present?
Question 12 options:
No terms are removed
Two quadratic, three main effects and two two-way interactions
Quadratic Effects only
Main Effects only
Question 13 (2 points)
Saved
In a reduced, hierarchical model, what is the value of R-sq?
Question 13 options:
92
82.5
88.9
84.8
Question 14 (1 point)
Saved
Which of the following Contour plots would you use to set factor levels to maximise conversion
Question 14 options:
Question 15 (1 point)
Saved
In fitting the reduced hierarchical model for conversion how many unusually large residuals are
there?
Question 15 options:
1
3
0
2
Question 16 (1 point)
Saved
In analyzing activity, what terms does the full model suggest should be in the reduced, hierarchical
model?
Question 16 options:
Factors Temperature and Catalyst only
Factors Time and Temperature only
All main effects
Factors Time and Catalyst Only
Question 17 (2 points)
Saved
When the fully reduced model for activity is run, what is the approximate reduction in R -Sq (in
percentage points)?
Question 17 options:
8
4
2
10
Question 18 (2 points)
Saved
The model for activity shows a statistically significant “lack-of-fit”. What does this suggest?
Question 18 options:
There are too many terms in the model
All residual values are small and follow a normal distribution
The model fails to adequately describe the functional relationship between the factors and the output
response
The analyst made a mistake in analyzing the data
Question 19 (2 points)
Returning to the original question regarding maximising conversion while maintaining activity
between 55 and 60. Which of the following is true?
Question 19 options:
Temperature should be set at the highest value from the experiment and Time and Catalyst should be set
below the mid-point settings
All factor settings should be close to the mid-point
Both Time and Temperature should be around the mid-point setting, Catalyst setting is irrelevant
Temperature should be minimized, while catalyst and time should be maximized
Section 4. Simple answers
Questions 20 to 23
Question 20 (1 point)
Saved
In an EVOP design with two factors, how many replicates would
be required if you wish to see an effect of 2.5 at a power of 0.8
if the process standard deviation is 0.75?. Assume that you are
using centre points in each replicate
Question 20 options:
3
1
2
4
Question 21 (1 point)
Saved
Create a 3 factor simplex lattice mixture design with two
degrees in Mintab with no centre point or axial point
augmentation, and using a single replicate. What are the factor
levels for run 4 in standard order
Question 21 options:
1, 0, 0
0, 0, 1
0, 1, 0
0.5, 0.5, 0
Question 22 (1 point)
Saved
Create a 3 factor simplex lattice design with 2 degree in Minitab.
Augment the design with centre points and axial points. Use 2
replicates for the corner points and double blend points, 3
replicates for the centre and axial points. What are the factor
level settings for run 9 in standard order
Question 22 options:
0.16667 0.16667
0.66667
0.16667 0.66667
0.66667 0.16667
0.16667
0.16667
0.33333 0.33333
0.33333
Question 23 (1 point)
Saved
How many runs in total are required for the experiment set up
in last question?
Question 23 options:
20
18
22
24
Section 5
Analyze the following data and provide answers to questions 24 to
26
Table 3
Question 24 (2 points)
What is the p value for operator?
Question 24 options:
0.001
0.073
0.013
0.469
Question 25 (2 points)
What is the expected mean square for the operator term?
Question 25 options:
352.2
84.5
133.85
485.9
Question 26 (1 point)
Saved
In some situations it may not be possible to fully randomize all of the runs. What type of
experimental design can be used in this instance?
Question 26 options:
Fractional Factorial Design
Split Plot Design
Mixture Design
Multi Level Factorial Design
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