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
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