PMAN 639 PROJECT QUALITY MANAGEMENT FINAL EXAM

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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

 

 

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)):

 

 

 

 

 

 

 

 

1)   Which of the following tools is used to identify process frequency distribution?

1. A) Matrix diagram

 

1. B) Histogram

 

C)Pareto Chart

 

1. D) Check sheets

 

1. E) Process map

 

 

 

2)      Which of the following tools is used to organize ideas.

 

1. A) Matrix diagram

 

1. B) Histogram

 

1. C) Affinity Diagram

 

1. D) Check sheets

 

1. E) Process map

 

 

 

 

3)      Which of the following tools is used to analyze cycle time

 

 

1. A) Control Chart

 

1. B) Fishbone diagram

 

1. C) Pareto Chart

 

1. D) Process map

 

1. E) Root Cause Analysis

 

 

 

 

 

 

 

4)      Which of the following is true of common cause variation?

 

 

1. A) It is uncontrollable.

 

1. B) It is centeredaround the mean.

 

1. C) It is inherent in the process.

 

1. D) All of the above.

 

1. E) None of the above

 

 

 

 

5)      A true 3 Sigma Process should not havemorethan_______defects per million opportunities

 

 

3. 3.4

 

1. 270

 

1. 2700

 

1. 45500

 

 

 

 

 

 

 

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

 

 

1)      97.

1)     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.

 

 

 

 

 

 

 

 

 

 

 

2)

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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           18

Items damaged when received           15

Literature not in the box         7

Parts missing   13

Billing error     6

Unit not working        2

Delivery was late        3

 

 

 

 

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

1          6.10     6.15     5.35     5.98     5.95

2          6.35     6.02     6.20     6.10     5.70

3          5.85     5.90     6.20     6.12     6.08

4          6.00     5.80     5.70     6.04     6.17

5          6.15     5.60     6.25     5.99     6.01

6          6.13     6.05     5.89     6.00     5.87

7          5.88     6.03     5.76     6.1 3    6.00

8          6.12     5.45     6.15     6.04     5.91

 

 

Sample            Task1   Task2  Task3   Task4   Task5   total     x bar    R

1          6.1       6.15     5.35     5.98     5.95     29.53   5.906   0.8

2          6.35     6.02     6.2       6.1       5.7       30.37   6.074   0.65

3          5.85     5.9       6.2       6.12     6.08     30.15   6.03     0.27

4          6          5.8       5.7       6.04     6.17     29.71   5.942   0.47

5          6.15     5.6       6.25     5.99     6.01     30        6          0.65

6          6.13     6.05     5.89     6          5.87     29.94   5.988   0.26

7          5.88     6.03     5.76     6.13     6          29.8     5.96     0.37

8          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

 

 

 

 

 

 

 

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

 

1. 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

 

 

 

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

 

4.6%

 

 

 

 

 

 

 

 

 

 

 

 

 

5)            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