PMAN 639: PROJECT QUALITY MANAGEMENT FINAL EXAM- Homework Lance

Name:_______________

PMAN 639: PROJECT QUALITY MANAGEMENT

FINAL EXAM-

Please answer the following True or False questions (each worth 2 points)

A process in control does not produce unacceptable output.

True ______ False___FALSE___

Random variation falls within the control limits.

True ___TRUE___ False______

A process is capable if the variations fall within the control limits.

True ___TRUE___ False______

If X bar chart is in controlthen R chart is also in control.

True __TRUE___ False________

Control charts are used to determine if there are unexpected changes in the process.

True ___TRUE___ False______

For defective units situations, aP chart is used when the sample size varies.

True ___TRUE___ False______

A standard Six Sigma Process has a 4.5 Sigma performance

True __TRUE___ False________

A process is not capable if the variations exceeds the mean

True ___TRUE___ False______

A histogram shows the trendline of a process

True _____ False____FALSE____

A Fishbone diagram used to organize data in categories

True ___TRUE__ False________

Please answer the following multiple choice questions (each worth 4 points)):

Which of the following tools is used to identify process frequency distribution?
A) Matrix diagram
B) Histogram
C)Pareto Chart
D) Check sheets
E) Process map
Which of the following tools is used to organize ideas.
A) Matrix diagram
B) Histogram
C) Affinity Diagram
D) Check sheets
E) Process map

Which of the following tools is used to analyze cycle time

Control Chart
B) Fishbone diagram
C) Pareto Chart
D) Process map
E) Root Cause Analysis

Which of the following is true of common cause variation?
A) It is uncontrollable.
B) It is centeredaround the mean.
C) It is inherent in the process.
D) All of the above.
E) None of the above

A true 3 Sigma Process should not havemore than_______defects per million opportunities

3.4
270
2700
45500

Please respond to the following questions. Each question is worth 10 points:

97.

Please create a process map for withdrawing cash from an ATM machine as described below:

Janet needed some cash and walks up to an ATM machine. She inserts her debit card. The machine returns the card and the monitor reads: “could not read the card try again”. Janet recognizes that she has entered the card in the wrong direction. She takes the card and turns it around and insert the card again. The machine keeps the card and the monitor reads: “enter pass code”. Janet enters a 4 digit code. The monitor reads: “ error, try again”.
Janet enters the code again. The monitor displays: Withdrawal? Yes No
Janet selects Yes. Displays shows:
“ $100, $200, $300, $400, $______”.
Janet selects $200. The machine pushes out 10 $20 bills. Monitor then displays “Receipt? Yes No”. Janet selects No. Monitor displays “Take your cash” .
The machine returns the card. Display changes to “Thank You”.
Janet takes the cash and her card and walks away.

A customer relationship manager decided to track customer complaints as part of his ongoing customer satisfaction improvement program. After collecting data for 3 months, their check sheet appears as follows:

Type of Problem
Frequency

(number of times)

Call went to voice mail

Items damaged when received

Literature not in the box

Parts missing

Billing error

Unit not working

Delivery was late

Construct a Pareto chart including the cumulative % frequency.What is the cumulative percentage of the two highest priority issues?

3) A quality control engineer monitors the quality of a cylinder production line. He regularly selects a sample of 5 units and measures the diameters. The specification requires the diameter to be 6 inches plus/minus 0.1 inch. The following is a record of the measurements. Is the production process in control? Please use X bar and R charts to make an assessment.
Sample
item 1
item 2
item 3
item 4
item 5

6.10

6.15

5.35

5.98

5.95

6.35

6.02

6.20

6.10

5.70

5.85

5.90

6.20

6.12

6.08

6.00

5.80

5.70

6.04

6.17

6.15

5.60

6.25

5.99

6.01

6.13

6.05

5.89

6.00

5.87

5.88

6.03

5.76

6.1 3

6.00

6.12

5.45

6.15

6.04

5.91

Sample

Task1

Task2

Task3

Task4

Task5

total

x bar

6.1

6.15

5.35

5.98

5.95

29.53

5.906

0.8

6.35

6.02

6.2

6.1

5.7

30.37

6.074

0.65

5.85

5.9

6.2

6.12

6.08

30.15

6.03

0.27

5.8

5.7

6.04

6.17

29.71

5.942

0.47

6.15

5.6

6.25

5.99

6.01

0.65

6.13

6.05

5.89

5.87

29.94

5.988

0.26

5.88

6.03

5.76

6.13

29.8

5.96

0.37

6.12

5.45

6.15

6.04

5.91

29.67

5.934

0.7

Sum=

47.834

4.17

average=

5.97925

0.52125

We have from calculation table
= 5.97925
= 0.52125
R CHART
Centreline == 0.52125
Upper Class Limit =UCL = D4 * =2.114*(0.52125) = 1.1019225

Lower Class Limit =LCL = D3 * = 0*(0.52125) = 0

X – bar CHART

Centreline = = 5.97925

Upper Class Limit =UCL =  + A2(  )

= 5.97925 + 0.577* (0.52125)

= 5.97925 + 0.030076125

= 6.28001125

Lower Class Limit =LCL =  – A2(  )

= 5.97925 – 0.030076125

= 5.67848875

For the above problem if the true mean and standard deviation of the process are 6.05 and 0.04,

Is the process capable of meeting its specification? Calculate its CP and CPk.

The process is capable of meeting the specification laid out.

Cpk = min(USL – μ, μ – LSL) / (3σ)

Cpk=min(6.28001125-0.1, 0.1-5.67848875)/3×0.04

Cpk=

1.068



What % of the cylinders if any are out of specs?

4.6%

A project manager at Global 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 300,000 lines of code. Use the data to find the correlation function of coding time to the program size and estimate the number of days it would take to code the system.


Module
Size in 1000 lines of code (KLOC)
X
Number of days to code
Y
SQUARE OF X

SQUARE OF Y

1

160

70

2

158

66

3

150

70

4

135

59

5

178

72

6

170

63

7

158

69

8

138

65

9

200

72

10

195

68

11

189

65

12

173

68

13

159

70

14

163

55

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



We should apply Pearson’s correlation coefficient in the following question



Module
Size code (KLOC), x
Number of codes, y
X^2
Y^2
XY

1
150
72
22500
5184
(150*72) =10800

2
158
66
24964
4356
(158*66) =10428

3
148
65
21904
4225
(148*65) =9620

4
120
60
14400
3600
(120*60) =7200

5
178
75
31684
5625
(178*75) =13350

6
170
68
28900
4624
(170*68) =11560

7
152
68
23104
4624
(152*68) =10336

8
138
65
19044
4225
(138*65) =8970

9
200
80
40000
6400
(200*80) =16000

10
195
75
38025
5625
(195*75) =14625

11
189
65
35721
4225
(189*65) =12285

12
173
68
29929
4624
(173*68) =11764

13
159
62
25281
3844
(159*62) =9858

14
163
71
26569
5041
(163*71) =11573

15
150
65
22500
4225
(150*65) =9750

16
140
65
19600
4225
(140*65) =9100

17
206
74
42436
5476
(206*74) =15244

18
144
64
20736
4096
(144*64) =9216

19
157
70
24649
4900
(157*70) =10990

20
183
76
33489
5776
(183*76) =13908

21
195
75
38025
5625
(195*95) =14625

22
190
77
36100
5929
(190*77) =14630

23
185
73
34225
5329
(185*73) =13505

24
152
58
23104
3364
(152*58) =8816

25
178
70
31684
4900
(178*70) =12460

Sum
4173
1727
708573
120067
290613

m = 0.1949227

A project manager has developed the following data on a

project tasks and durations by weeks.

Please create an AON diagram, identify the critical path and the expected project duration.

What is the chance of completing the project one week earlier than expected?

The customer has asked for a 99% confidence on the project completion date. Calculate the number of additional weeks the project manager needs to make that commitment.

Time estimation in weeks
Task
Predecessor
optimistic
Most likely
Pessimistic

A

3

4

5

B

A

1

8

15

C

A

2

4

6

D

A

4

8

12

E

B

7

9

11

F

C,B

2

5

8

G

E,D

6

8

10

H

F,G

4

7

10


Activity
expected time
variance

A

4

0.11

B

8

5.44

C

4

0.44

D

8

1.77

E

9

0.44

F

5

1

G

8

0.44

H

7

1



D G



A B E H



C

Path duration

ADGH 4+8+8+7=27

ABEGH 4+8+9+8+7=36

ABFH 4+8+5+7=24

ACFH 4+4+5+7=20



Critical Path take the longest path= 36

Expected completion of the project = 36 weeks



It takes one week to have less time =36-1. To be 35 weeks. The variance of activities =0.11+5.44+0.44+0.44+1= 7.43

Standard deviation would be = 2.723

Z score would be 35-36/2.723 = -0.37

From table probability would be= 0.35569

Which is the same as 35.569