1. The correlation between two variables can be determined by a scatter plot.

True _____ False________

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

		Which of the following is true of common cause variation? A) It is uncontrollable. B) It is centered around the mean. C) It is inherent in the process. D) All of the above. E) None of the above An X bar chart is used to monitor _________. Process Dispersion Variation of the baseline Trend in standard deviation Variation of the Mean
		Which of the following tools are used to organize ideas? A) Pareto Chart 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 A true 3 Sigma Process should not have more than _______defects per million opportunities 6,210 3.4 2700 45500

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

	97.	Please make 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. .

1. A procurement manager has been tracking the delivery performance of her suppliers. Based on the following data

1. Calculate sigma performance of these suppliers using Z Score tables and rank order them.
2. Comment on the performance of these suppliers

Supplier	A	B	C
Number of deliveries	25	54	70
Number of late deliveries	3	10	12

1. 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 400,000 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)	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

1. A quality control engineer monitors the quality of a cylinder production line. He regularly selects samples of units and measures the diameters. The specification requires the diameter to be 6 inches plus/minus 0.1 inch. If the true mean and standard deviation of the process are 6.05 and 0.04,
   1. Is the process capable of meeting its specifications? Calculate its CP and CPk.

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

1. 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

1. A Black Belt consultant in the ABC Corporation reported the Sigma Performance of a manufacturing line as 3.5. Using Z score table, calculate the % defective units coming off the production line.