Examination Paper of Six Sigma Black Belt
CERTIFIED SIX SGMA BLACK BELT
Examination paper
____________________________________________________
Guideline for paper
. Total no of question is 75
. The minimum passing marks is 40%
. Section-A (50 Question) carries 1 mark each.
. Section-B (25 Question) carries 2 marks each
. Answer all the question.
Section A Total: 100 marks
1. A frequent cause of system sub optimization is:
a. Optimizing individual process
b. Failing to draw a system flow chart
c. Using data with outliers
d. Failing to consider the normal distribution
2. Dr. W Edwards Deming:
a. Lectured in Japan after World War II
b. Was an author of several books in the US
c. Lectured widely in the US
d. Is considered an expert in the quality field
e. All of the above
f. None of the above
3. Successful Six Sigma project always:
a. Use designed experiments
b. Impact the bottom line of the enterprise
c. Are completed in a short time frame
d. All of the above
e. non of the above
4. Proposed Six Sigma projects that are not in some way liked to organizational goals:
a. Will typically be short term
b. Use statistical inference
c. Have a high risk of failure
d. Should not be approved
e. non of the above
Examination Paper of Six Sigma Black Belt
………………………….
12. Calculate the estimated variance of the population from which the following values have
been randomly selected: 2.8 2.7 2.6 2.9 2.8 2.8 2.8
a. .095
b. .009
c. .088
d. .008
13. An advantage of using standard deviation rather than range for measuring dispersion of a
large sample is that:
a. Standard deviation has a simpler formula
b. Calculators have a standard deviation key but not a range Key
c. Standard deviation uses information from each measurement
d. Range calculation are not normally distributed
14. Data are collected in Xy pairs and a scatter diagram shows the points are grouped very close
to a straight line that tips down on its right hand end. A reasonable value for the coefficient of
correlation is:
a. .8
b. 0
c. -.9
d. 1
e. 1.3
f. -1.8
15. The mean, median and mode of a distribution have the same value. What can be said about
the distribution?
a. It is exponential
b. It is normal
c. It is uniform
d. None of the above
16. Approximately what percent of the data values are smaller than the mean?
………………………
25. The critical test statistic is approximately:
a. 4.79
b. 6.71
c. 2.08
d. 5.44
26. The null hypothesis should be:
a. Rejected
b. Not rejected
c. Accepted
27. The word takt is closest to the theory of constraints word:
a. Drum
b. Buffer
c. Rope
d. Constraint
28. The team development stage characterized by expression of individual opinions and ides
often without regard for team objectives is known as:
a. Performing
b. Norming
c. Conflicting
d. Storming
e. Brainstorming
…………………………..
d. Confused correlation with causation
39. A principle advantage of fractional factorial experimental designs is:
a. Reduced cost
b Improved accuracy
c. Increased confounding
d. Higher confidence level
e. Reduced probability of type II error
40. A principle disadvantage of fractional factorial experimental designs is:
a. Reduced cost
b Improved accuracy
c. Increased confounding
d. Higher confidence level
e. Reduced probability of type II error
41. In an experimental design context, replications refer to:
a. Duplicating experimental result at another location
b. Repeating a test with the same factor levels
c. Obtaining the same or similar result from different factors
d. Repeating an experiment but using at least one different factor level
……………………………
f. Tree diagram
g. Prioritization matrix
h. Matrix diagram
i. Interrelationship digraph
49. A complex system has many causes and effects. These may be illustrated on which of the
following:
a. Matrix diagram
b Cause and effect diagram
c. Process decision program chart
d. Affinity diagram
e. Activity network diagram
f. Tree diagram
g. Prioritization matrix
h. Matrix diagram
i. Interrelationship digraph
50. An experiment is conducted by checking the effect that three different pressures have on the
surface appearance of a product. Ten item items are produced at each of the three pressures. The
number of replications, factors and levels are:
a. 10, 3, 2
b. 10, 2, 3
c. 2, 3, 3
d. 10, 1, 3
e. 10, 3, 1
Examination Paper of Six Sigma Black Belt
Section B
51. A factorial experiment has three factors. Each factor has three levels. The number of test
combinations or runs is:
a. 9
b. 6
c. 27
d. 36
e. 33
Use the following for problem 52-54: A product specification or tolerance is 180-200. A sample
of 100 parts has an average of 188 and standard deviation of 6. Assume the population is
normally distributed.
52. What percent of population falls below the lower specification limits?
a. 9.18%
b. 22.66%
c. 6.68%
d. 1.83%
………………………..
6 5 7 5 6
Sample size 120 110 111 128 110
The appropriated control chart to use is:
a. x-bar and R
b. Median
c. Individual and moving range
- -
- +
+ -
+ +
Examination Paper of Six Sigma Black Belt
d. p
e. np
f. u
g. c
61. The temperature in a storage location is logged once every 30 minutes. The control chart that
is appropriate for displaying these values is:
a. x-bar and R
b. Median
c. Individual and moving range
d. p
e. np
f. u
g. c
62. a control chart is to be use to display the number of non-conducting diodes. Each point on the
chart represents the number of bad diodes in a box of 1000. The appropriate control chart to use
is
a. x-bar and R
b. Median
c. Individual and moving range
d. p
e. np
f. u
g. c
Use the following for problems 63-69:
A team is asked to determine whether printer #2 prints typical company documents faster than
printer # 1. The team decides to use the paired t hypothesis test. They select eight documents and
print each on each printer, assuming that the differences are normally distributed. The results:
Document # Time Reqd, sec
Ptr #1 Ptr #2
1 4.2 3.9
2 5.6 5.5
3 2.8 2.9
4 7.1 6.7
5 11.5 11
6 8.2 8.1
7 12.3 11.8
8 13.5 13
Examination Paper of Six Sigma Black Belt
…………………………….
72. An indication of the experimental error is available because the design has:
a. Multiple replications
b. Multiple levels
c. Multiple factors
73. The average number of defects is 21.6. Find the upper control limit for the c.chart.
a. 26.4
b. 24.6
c. 18.8
d. 26.2
e. None of the above
74. An x-bar and R chart is used to monitor a process. One week ago a new type of raw material
was introduced and since that 60 points have been plotted on the x bar chart and all are in the
middle third of the chart. The corresponding 60 points on the R chart are all below the average.
The indicates that:
a. The operator has been plotting the points incorrectly
Examination Paper of Six Sigma Black Belt
b. It is time to recalibrate the gage used
c. It is time to recalculate the control limits
d. The material manager should be asked to go back to the previous raw material so the chart will
more accurately reflect process
75. Here is a partial ANOVA table. Use a= 0.05.
Source SS Df Ms Fstatistic Fcritical
A 1200 6 x y Z
B 900 6
A x B 180 3
Error 100 10
The value of x, y and z should be:
a. 200, 20, 3.00
b. 12, 1.2, 4.06
c. 200.20, 4.06
d. None of the above
CERTIFIED SIX SGMA BLACK BELT
Examination paper
____________________________________________________
Guideline for paper
. Total no of question is 75
. The minimum passing marks is 40%
. Section-A (50 Question) carries 1 mark each.
. Section-B (25 Question) carries 2 marks each
. Answer all the question.
Section A Total: 100 marks
1. A frequent cause of system sub optimization is:
a. Optimizing individual process
b. Failing to draw a system flow chart
c. Using data with outliers
d. Failing to consider the normal distribution
2. Dr. W Edwards Deming:
a. Lectured in Japan after World War II
b. Was an author of several books in the US
c. Lectured widely in the US
d. Is considered an expert in the quality field
e. All of the above
f. None of the above
3. Successful Six Sigma project always:
a. Use designed experiments
b. Impact the bottom line of the enterprise
c. Are completed in a short time frame
d. All of the above
e. non of the above
4. Proposed Six Sigma projects that are not in some way liked to organizational goals:
a. Will typically be short term
b. Use statistical inference
c. Have a high risk of failure
d. Should not be approved
e. non of the above
Examination Paper of Six Sigma Black Belt
………………………….
12. Calculate the estimated variance of the population from which the following values have
been randomly selected: 2.8 2.7 2.6 2.9 2.8 2.8 2.8
a. .095
b. .009
c. .088
d. .008
13. An advantage of using standard deviation rather than range for measuring dispersion of a
large sample is that:
a. Standard deviation has a simpler formula
b. Calculators have a standard deviation key but not a range Key
c. Standard deviation uses information from each measurement
d. Range calculation are not normally distributed
14. Data are collected in Xy pairs and a scatter diagram shows the points are grouped very close
to a straight line that tips down on its right hand end. A reasonable value for the coefficient of
correlation is:
a. .8
b. 0
c. -.9
d. 1
e. 1.3
f. -1.8
15. The mean, median and mode of a distribution have the same value. What can be said about
the distribution?
a. It is exponential
b. It is normal
c. It is uniform
d. None of the above
16. Approximately what percent of the data values are smaller than the mean?
………………………
25. The critical test statistic is approximately:
a. 4.79
b. 6.71
c. 2.08
d. 5.44
26. The null hypothesis should be:
a. Rejected
b. Not rejected
c. Accepted
27. The word takt is closest to the theory of constraints word:
a. Drum
b. Buffer
c. Rope
d. Constraint
28. The team development stage characterized by expression of individual opinions and ides
often without regard for team objectives is known as:
a. Performing
b. Norming
c. Conflicting
d. Storming
e. Brainstorming
…………………………..
d. Confused correlation with causation
39. A principle advantage of fractional factorial experimental designs is:
a. Reduced cost
b Improved accuracy
c. Increased confounding
d. Higher confidence level
e. Reduced probability of type II error
40. A principle disadvantage of fractional factorial experimental designs is:
a. Reduced cost
b Improved accuracy
c. Increased confounding
d. Higher confidence level
e. Reduced probability of type II error
41. In an experimental design context, replications refer to:
a. Duplicating experimental result at another location
b. Repeating a test with the same factor levels
c. Obtaining the same or similar result from different factors
d. Repeating an experiment but using at least one different factor level
……………………………
f. Tree diagram
g. Prioritization matrix
h. Matrix diagram
i. Interrelationship digraph
49. A complex system has many causes and effects. These may be illustrated on which of the
following:
a. Matrix diagram
b Cause and effect diagram
c. Process decision program chart
d. Affinity diagram
e. Activity network diagram
f. Tree diagram
g. Prioritization matrix
h. Matrix diagram
i. Interrelationship digraph
50. An experiment is conducted by checking the effect that three different pressures have on the
surface appearance of a product. Ten item items are produced at each of the three pressures. The
number of replications, factors and levels are:
a. 10, 3, 2
b. 10, 2, 3
c. 2, 3, 3
d. 10, 1, 3
e. 10, 3, 1
Examination Paper of Six Sigma Black Belt
Section B
51. A factorial experiment has three factors. Each factor has three levels. The number of test
combinations or runs is:
a. 9
b. 6
c. 27
d. 36
e. 33
Use the following for problem 52-54: A product specification or tolerance is 180-200. A sample
of 100 parts has an average of 188 and standard deviation of 6. Assume the population is
normally distributed.
52. What percent of population falls below the lower specification limits?
a. 9.18%
b. 22.66%
c. 6.68%
d. 1.83%
………………………..
6 5 7 5 6
Sample size 120 110 111 128 110
The appropriated control chart to use is:
a. x-bar and R
b. Median
c. Individual and moving range
- -
- +
+ -
+ +
Examination Paper of Six Sigma Black Belt
d. p
e. np
f. u
g. c
61. The temperature in a storage location is logged once every 30 minutes. The control chart that
is appropriate for displaying these values is:
a. x-bar and R
b. Median
c. Individual and moving range
d. p
e. np
f. u
g. c
62. a control chart is to be use to display the number of non-conducting diodes. Each point on the
chart represents the number of bad diodes in a box of 1000. The appropriate control chart to use
is
a. x-bar and R
b. Median
c. Individual and moving range
d. p
e. np
f. u
g. c
Use the following for problems 63-69:
A team is asked to determine whether printer #2 prints typical company documents faster than
printer # 1. The team decides to use the paired t hypothesis test. They select eight documents and
print each on each printer, assuming that the differences are normally distributed. The results:
Document # Time Reqd, sec
Ptr #1 Ptr #2
1 4.2 3.9
2 5.6 5.5
3 2.8 2.9
4 7.1 6.7
5 11.5 11
6 8.2 8.1
7 12.3 11.8
8 13.5 13
Examination Paper of Six Sigma Black Belt
…………………………….
72. An indication of the experimental error is available because the design has:
a. Multiple replications
b. Multiple levels
c. Multiple factors
73. The average number of defects is 21.6. Find the upper control limit for the c.chart.
a. 26.4
b. 24.6
c. 18.8
d. 26.2
e. None of the above
74. An x-bar and R chart is used to monitor a process. One week ago a new type of raw material
was introduced and since that 60 points have been plotted on the x bar chart and all are in the
middle third of the chart. The corresponding 60 points on the R chart are all below the average.
The indicates that:
a. The operator has been plotting the points incorrectly
Examination Paper of Six Sigma Black Belt
b. It is time to recalibrate the gage used
c. It is time to recalculate the control limits
d. The material manager should be asked to go back to the previous raw material so the chart will
more accurately reflect process
75. Here is a partial ANOVA table. Use a= 0.05.
Source SS Df Ms Fstatistic Fcritical
A 1200 6 x y Z
B 900 6
A x B 180 3
Error 100 10
The value of x, y and z should be:
a. 200, 20, 3.00
b. 12, 1.2, 4.06
c. 200.20, 4.06
d. None of the above
No comments:
Post a Comment