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PMAN 639: PROJECT QUALITY MANAGEMENT
FINAL EXAM

A. Please answer the following True or False questions (each worth 2 points)
1) A process is capable if only common variation is present in the process.
True ______ False______
2) Random variation is also referred to as uncontrollable variation.
True ______ False______

3) Control charts are used to determine whether a process will produce a product
or service with consistent measurable properties..
True ______ False______
4) Two items in parallel having a reliability of 0.90 have an overall system
reliability of 0.81..
True ______ False______
5) The lower control limit for a p-chart can be lower than 0.
True ______ False______
6) Process stability means that the variation observed in the process is
nonrandom.
True ______ False______
7) A process capability of 2.00 or higher is Six Sigma.
True _____ False____
8) Processes that achieve capability indexes of 1.25 are world-class capable.
True _____ False________
9) It is not possible to be in control on the X-bar chart and out of control on the
R-chart for the same process at the same time
True ______ False______
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10) In a capable process the specification limits are inside the control limits.
True ______ False______
B. Please answer the following multiple choice questions (each worth 3 points)):
1.

A system is to be composed of 5 identical components in series. What is
the lowest reliability component that can be used in order to have an
overall system reliability of 0.90?
A.
B.
C.
D.
E.

2.

0.98
0.97
0.96
0.95
0.94

_________ allows customers and suppliers to tie their systems together
to enhance planning, and purchasing, and coordination.
A.
B.
C.
D.
E.

3.

Reliability models assume statistical independence between failure
events. This means:
A.
B.
C.
D.
E.

4.

EDI
CRM
MRP
PERT
CPM

components do not fail
if one component fails, the entire system fails
parallel systems are unnecessary
the failure of one component does not influence another to fail
series systems are unnecessary

There are three main ingredients to an audit. These are auditing
procedures, auditing principles, and:
A.
B.
C.
D.
E.

auditing standards
auditing budgets
auditing outcomes
auditing routines
auditing events

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5.

Which of the following is true of nonrandom variation?.
A)
B)
C)
D)

It is uncontrollable.
It is centered on a mean.
It occurs with a somewhat consistent amount of dispersion.
It results from a shift in a process mean or some unexpected
occurrence.
E) It results in a process that is easy to control.
6.

The Six in Six Sigma refers to the ________.
A. number of standard deviations from a specification limit to the mean
of a highly capable process
B. number of means from a specification limit to the standard deviation
of a highly capable process
C. number of variances from a specification limit to the mean of a
highly capable process
D. number of means from a specification limit to the variances of a
highly capable process
E) number of means from zero of a highly capable process

7.

Off line experimentation is performed during the ________ phase of Six
Sigma.
A.
B.
C.
D.
E.

8.

control
improve
analysis
identification
variation

What is the Taguchi constant for a device that costs $400 to repair and a
tolerance of plus or minus 0.5 mm with a mean squared deviation from
the target of 0.3?
A.
B.
C.
D.
E.

144
480
4444
1600
1111

K= 400/.5^2 = 1600
L = 1600 x (.3) = $480
9.

Which of the following is an example of statistic based on an attribute?
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A.
B.
C.
D.
E.
10.

s (standard deviation)
R (range)
P (proportion defective)
MR (moving range)
X bar (process population average)

The X bar chart is a process chart used to monitor the ________ of the
characteristic being measured.
A) range
B) average
C) mode
D) median
E) standard deviation

C. Please respond to the following questions. Each question is worth 10 points:
1) 1) A product is made up of two subsystems in series. The first subsystem consists
97. of 15 components in series. The second subsystem consists of two components
in parallel. The components in subsystem 1 are all of the same design and each
has a 1/10,000 chance of failure. The parallel components each has a 3/10,000
chance for failure. What is the overall reliability of the system?

2) A quality control engineer is checking the performance of a bottling machine.
He collects 8 samples each consisting of six bottles. He carefully measures the
content of each bottle. The data in fluid ounce are presented below. He notices
variability in the data. Plot the X-bar and R charts and interpret the process
performance. Is the process under control? If not which samples are out of
control?

Sample

Measurements

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3)

The diameter of a machined cylinder is 3 inches but can be as large as 3.03 inches and as small as
2.97 inches. If the process has a grand mean of 3.01 inches and a standard deviation of 0.02
inches. What is the probability of producing bad cylinders?

4) A project manager at System Design Corporation has collected the following data
on the size of software programs and the length of programming time. The company
is bidding on a new system that is estimated to consist of 250000 lines of code.
Please use the data to find the functional relationship of the coding time to the
program size and estimate the number of days it would take to code the system.
Size in 1000
lines of code
(KLOC)

Module

Number of days to
code

1

160

68

2

158

66

3

148

70

4

135

59

5

178

72

6

170

68

7

158

64

8

138

65

9

200

70

10

195

68

11

189

65

12

173

68

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13

159

70

14

163

71

15

150

66

16

140

65

17

206

73

18

144

64

19

157

70

20

183

74

21

195

75

22

190

77

23

182

69

24

152

65

25

174

69

5) For the above problem plot a histogram of module size in this
program.

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