For a process running at the six-sigma level of quality, which one of the following represents the equivalent Defects per Million Opportunities (DPMO) value

1. Describe the difference between the following roles in a six sigma organization:
   1. Champion
   2. Black Belt
   3. Green Belt

2. Draw a of a bell curve picture of process data that shows the relationship between the process mean, the process standard deviations and the product specification limits that is considered to be running at a six sigma level?

3. If a process is producing at a 3-sigma level rather than a 6 sigma level, how many parts per million defects will be produced long term? How many ppm defects will be produced long-term by a process that is running at a 6-sigma level?

4. Understanding Input and Output correlation
   1. Write the equation that is at the core of a Six Sigma organization.
   2. Are the key business objectives (or measures) considered the input or output variables of a process? What variable do we use to represent these measures?
   3. Are the controllable and noncontrollable variables that affect the key business objectives considered the input or output variables of a process? What variable do we use to represent them?

5. Describe how PDSA relates to DMAIC.

6. Inputs (Xs) and outputs (Ys) from potential project areas are identified by the executive personnel. They are then mapped onto an XY matrix so that the most influential inputs can be identified in order for a team to be assigned to work on an improvement project that will have the greatest impact on key business objectives. The executives have ranked the outputs on a scale of 1 to 10 for importance to the business success as shown in the matrix below. The inputs were also rated regarding how much each input impacts each output. No score was given to inputs that have no correlation to an output (we do not use zero). One (1) was given to inputs that have low positive correlation to the output and ten (10) was given to inputs that have high positive correlation to the output. Calculate the rank of each input variable to determine which input has the most bearing on the stated outputs. Which input area should the team choose to focus on for an improvement project in order to provide the company with the greatest impact toward achieving the key business objectives?

XY Matrix
	Output
	Company Growth	Customer Retention	Quality	Productivity	Low Cost	Total	Project Area Rank
Executive Ranking:	3	8	9	6	7
Inputs
Space Utilization	7	2	5	5	5
Inventory Management	5	3	6	8	5
Receiving Cycle Times			2	8	2
Safety Management	3		4	7	3
Packaging Design	1	3	2	2	3