One of the foundations of Lean Six Sigma is the concept that the output of a process (Y) is influenced by the process inputs (X's) and is commonly shown as which formula?
A. Y = Z(X2)
B. Y = f(X3)
C. Y = f(Xn)
D. Y = g(X+ 1.5)
A Belt working in a supply chain environment has to make a decision to change suppliers of critical raw materials for a new product upgrade. The purchasing manager is depending on the Belt's effort requiring that the average cost of an internal critical raw material component be less than or equal to $4,200 in order to stay within budget. Using a sample of 35 first article components, a Mean of the new product upgrade price of $4,060, and a Standard Deviation of $98 was estimated. The Alternative Hypothesis in the above example is?
A. The Standard Deviation is equal to $300
B. The Mean is less than $4,320
C. The Mean is equal to $4,060
D. The Mean is less than $4,200
E. The Mean is greater than $ 4,200
For Attribute Data, Process Capability is defined as the average proportion of nonconforming products.
A. True
B. False
SPC Charts are used extensively in different business and decision-making environments. In this example a vendor is being selected based on speed of delivery. Which of the conclusions would help you pick a vendor for your needs regarding lead-time of delivery from your vendors? (Note: There are 4 correct answers).

A. Vendor A with a much shorter lead time in delivery
B. Vendor B as it has a better consistency (lower variance) on lead time
C. Vendor B since Vendor A shows a situation out of control as shown in red
D. Vendor B since the Control Limits are much narrower than Vendor A
E. Vendor B has higher lead time, but a process with much narrower Control Limits
It would be more likely than not for a Belt conducting a Regression Analysis to find that the _______________________.
A. r2 value is smaller than the absolute value of r
B. Correlation Coefficient equals r2
C. Coefficient of Determination is less than r2
D. Correlation Coefficient equals r divided by 2
Which of these elements are not included in Implementation plans?
A. Work breakdown structure
B. Cost/Benefit ratios
C. Risk management plans
D. Planned audits of work completion
What is the Ppk of a process with a spread of 24 units, an average of 68, an upper limit of 82 and a lower limit of 54?
A. 1.68
B. 2.00
C. 4.00
D. 4.42
For a batch manufacturing process, while assessing short term process variation, which variation category(ies) should one need to focus on? (Note: There are 2 correct answers).
A. Variation within consecutive pieces
B. Variation among consecutive batches
C. Variation among groups of pieces
D. Variation among the completed product
An ANOVA used across many dependent variables could increase the Beta risk.
A. True
B. False
The class score distribution of schools in a metropolitan area is shown here along with an analysis output. Comment on the statistical significance between the Means of the two distributions. Select the most appropriate statement.

A. The two class Means are statistically different from each other
B. The two class Means statistically not different from each other
C. Inadequate information on class Means to make any statistical conclusions
D. A visual comparison shows that class Means are not statistically different
E. A visual comparison shows that class Means are statistically different