A.Please answer the following True or False questions (each worth 2 points)
1)Affinity diagram is used to identify the root causes of a problem.
True ______ False _______
2)A process is capable if the variations fall within +- 3 standard deviation
True ______ False______
3)Fishbone diagram is used to organize data in categories
True ______ False _______
4)Random variations fall outside the control limits.
True ______ False______
5)Control charts tell Project Managers how to control the project.
True ______ False______
6)Run chart can be used as a measurement tool to track changes in a process over time.
True _____ False________
7) A process in control does not produce unacceptable output.
True ______ False______
8)A Six Sigma process must have a process capability index of 6.
True _____ False________
9)A Control Chart is a Trend Chart (or Run Chart) that has control limits
True _____ False________
10)Both X bar chart and R chart must be out of control for the process to be out of control
True _____ False________
B.Please answer the following multiple choice questions (each worth 4 points)):
1.Which of the following tools are used to get the shape of the distribution.
A) Matrix diagram
B) Histogram
C) Affinity Diagram
D) Check sheets
E) Process map
2.Which of the following tools are used to organize ideas.
A) Matrix diagram
B) Histogram
C) Affinity Diagram
D) Check sheets
E) Process map
3.Which of the following is true of random variation?
A) It is uncontrollable.
B) It is centered around the mean.
C) It is within + or – 3 standard deviation of the mean.
D) All of the above.
E) None of the above
4.An R chart is used to monitor __________.
A.Variation of the Mean
B.Process Dispersion
C.Trend in mean value
D.Trend in standard deviation
5. A 3 Sigma Process should not have more than _______defects per million opportunities
A.2700
B.3.4
C.30,000
D.66,807
C.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 product manager has conducted a customer satisfaction survey of 30 customers on a scale of 1 to 5. The survey data is shown below. Calculate the mean and standard deviation of the survey and plot a histogram of the data. Does the distribution approximate Normal?
Customer Satisfaction rating
1 4
2 3
3 2
4 5
5 5
6 2
7 1
8 4
9 3
10 4
11 4
12 5
13 3
14 3
15 2
16 1
17 5
18 3
19 4
20 3
21 4
22 2
23 4
24 4
25 3
26 3
27 3
28 2
29 2
30 3
2) 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 300,000 lines of code. Use a scatter plot to find the correlation function of coding time to program size and estimate the number of days it would take to code the system
Module Size in 1000 lines of code (KLOC) Number of days to code
1 150 72
2 158 66
3 148 65
4 120 60
5 178 75
6 170 68
7 152 68
8 138 65
9 200 80
10 195 75
11 189 65
12 173 68
13 159 62
14 163 71
15 150 65
16 140 65
17 206 74
18 144 64
19 157 70
20 183 76
21 195 75
22 190 77
23 185 73
24 152 58
25 178 70
4)A Black Belt consultant in the ABC Corporation reported the Sigma Performance of a manufacturing line as 3.1. Using Z score table calculate the % defective units coming off the production line.
5. A project manager at COMSOFT corporation has collected statistics on the organization’s software development process. He has the size of each project in number of lines of code for the past 20 projects and the number of design errors discovered in design reviews for each project. .
Describe what type of control chart you can use and how do you calculate the control limits to check if the software design process in this organization is in control.
6.A project manager has developed the following data on a project tasks and duration. Please create an AON diagram, identify the critical path and the expected project duration. The customer has asked for a 95% 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 5 7 9
H F,G 4 7 10