Black Belt Final Exam
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Question 1 of 56
1. Question
1 point(s)What is the difference between defects and defectives?
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Question 2 of 56
2. Question
1 point(s)Y=f(x) refers to which of the following descriptions?
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Question 3 of 56
3. Question
1 point(s)You have been tasked to determine the sample size for a OneSample ttest with a power value of at least 90%. The tolerance that is applicable is +/0.45 inches. The historical data you have indicates a mean of 98.4 inches, a variance of 0.22 inches, and a standard deviation of 0.62 inches. Using this information, determine the sample size necessary for a OneSample ttest.
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Question 4 of 56
4. Question
1 point(s)This is a condition where the assumption of equal variance is violated and can lead us to believe a variable is a predictor when it is not.
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Question 5 of 56
5. Question
1 point(s)A situation when two or more independent variables in a multiple regression model are correlated with each other?
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Question 6 of 56
6. Question
1 point(s)Using the General worksheet in your BB_Exam project file, perform an IMR chart on the data in column C10 “Output”. Is this process in control?
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Question 7 of 56
7. Question
1 point(s)Which is the correct Defects per Million Opportunities (DPMO) calculation?
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Question 8 of 56
8. Question
1 point(s)If Kappa is equal to 0.8, the measurement system is acceptable?
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Question 9 of 56
9. Question
1 point(s)_______ are the vertical differences between actual values and the predicted values or the “fitted line” created by a regression model?
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Question 10 of 56
10. Question
1 point(s)What does a variance inflation factor (VIF) of greater than 10 indicate?
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Question 11 of 56
11. Question
1 point(s)The _____ chart is used to monitor average defects per unit. It plots the count of defects per unit of a subgroup as a data point. It considers the situation when the subgroup size of inspected units for which the defects would be counted is not constant.
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Question 12 of 56
12. Question
1 point(s)The ___ chart is used to monitor the count of defectives. It plots the number of defectives in one subgroup as a data point. The subgroup size of this chart is constant.
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Question 13 of 56
13. Question
1 point(s)The ___ chart is used to monitor percent defective. This chart plots the percentage of defectives in one subgroup as a data point. It considers the situation when the subgroup size of inspected units is not constant.
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Question 14 of 56
14. Question
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Question 15 of 56
15. Question
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Question 16 of 56
16. Question
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Question 17 of 56
17. Question
1 point(s)Given the process steps below and their data, what is the Rolled Throughput Yield of the entire process?
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Question 18 of 56
18. Question
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Question 19 of 56
19. Question
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Question 20 of 56
20. Question
1 point(s)Using the Minitab project file BB_Exam.mpx, activate the Web Traffic worksheet, and run a Pareto chart on Unique_Visits by Traffic_Source. What percent of Unique_Visits are from the Direct traffic source?
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Question 21 of 56
21. Question
1 point(s)Continuing with the Web Traffic worksheet, run a Pareto chart on Pageviews by Traffic_Source. What percent of Pageviews are from Direct and Referral traffic sources?
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Question 22 of 56
22. Question
10 point(s)Drag each test next to its proper description. Each match is equivalent to 1 point for a total of 10 possible points for this question.
Sort elements
 1Sample ttest
 Paired ttest
 1Sample Sign test
 1 Proportion test
 ANOVA
 KruskalWallis test
 MannWhitney test
 Mood's Median test
 2Sample ttest
 2 Proportions test

Determine whether the mean of a sample differs significantly from a specified value.

Determine whether the means of two dependent groups differ significantly.

Determine whether the median of a sample differs significantly from a specified value.

Determine whether the proportion of an event observed in a sample differs significantly from a specified value.

Determine whether the means of two or more groups differ significantly.

Determine whether the medians of two or more groups differ significantly when the data for all of the groups have similarly shaped distributions.

Determine whether the medians of two groups differ significantly when the data for both groups have similarly shaped distributions.

Determine whether the medians for two or more groups differ significantly. Use if you are not confident that the groups have similarly shaped distributions.

Determine whether the mean differs significantly between two groups.

Determine whether the sample proportions of an event for two groups differ significantly.
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Question 23 of 56
23. Question
4 point(s)Drag each process mapping symbol to its correct associated meaning. Each symbol is worth 1 point for a total of 4 points for this question.
Sort elements
 Oval
 Rectangle or Square
 Diamond
 Flow Line

Shows the start and end points of a process

Indicates a single process step

Indicates a question with two choices

Shows the direction of the process
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Question 24 of 56
24. Question
4 point(s)Drag each Project Charter element to its correct associated description. This question is worth a total of four points.
Sort elements
 Primary Metric
 Secondary Metric
 Problem Statement
 Business Case

This is vital to understanding how you are measuring project success as well as being able to establish a baseline and goal.

A measure that helps keep a project honest.

A concrete factual statement declaring the project's baseline, goal, gap to goal, and gap closure. It should also be explicit about the project's estimated timing.

Describes why this project is important to the business
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Question 25 of 56
25. Question
1 point(s)Using the data found on the General tab of your BB_Exam.mpx project file, perform a graphical summary on data set A found in column C1. Is this data normally distributed?
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Question 26 of 56
26. Question
1 point(s)Using the data found on the General tab of your BB_Exam.mpx project file, perform a graphical summary on data set B found in column C2. Is this data normally distributed?
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Question 27 of 56
27. Question
1 point(s)Which hypothesis test would be best if you wanted to determine if there is a statistically significant difference between the two data sets A and B on the General tab of the BB_Exam.mpx file?
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Question 28 of 56
28. Question
1 point(s)Run the hypothesis test that would be best if you wanted to determine if there is a statistically significant difference between the data sets A and B on the General tab of the BB_Exam.mpx file. What is the resulting Pvalue of the test you ran?
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Question 29 of 56
29. Question
1 point(s)Which of the following statistical tests does Minitab require the data to be in two separate columns?
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Question 30 of 56
30. Question
1 point(s)Which of the following statistical tests does Minitab require the data to be in two separate columns?
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Question 31 of 56
31. Question
1 point(s)Using the Variable Gage worksheet in your BB_Exam.mpx file, perform a crossed variable gage r & r with Part as your Part numbers, Operator as your Operators, and Measurement as your Measurement data; use the default ANOVA method. What is the % Contribution of the Total Gage R&R?
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Question 32 of 56
32. Question
1 point(s)Using the Variable Gage worksheet in your BB_Exam.mpx file, perform a crossed variable gage r & r with Part as your Part numbers, Operator as your Operators, and Measurement as your Measurement data; use the default ANOVA method. How many distinct categories?
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Question 33 of 56
33. Question
1 point(s)Given the output of your Gage R&R study, would you consider this measurement system acceptable?
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Question 34 of 56
34. Question
1 point(s)Using the Attribute Gage worksheet in your BB_Exam.mpx file, perform an Attribute Gage R&R using column c4 “Reference” as the Known standard. What is the value of the Kappa statistic for All Appraisers vs. Standard?
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Question 35 of 56
35. Question
1 point(s)Using the Attribute Gage worksheet in your BB_Exam.mpx file, perform an Attribute Gage R&R using column c4 “Reference” as the Known standard. Who has the lowest Within Appraiser Assessment Agreement Kappa Statistic?
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Question 36 of 56
36. Question
1 point(s)Based on your assessment of this Attribute Gage R&R, would you consider this measurement system acceptable?
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Question 37 of 56
37. Question
1 point(s)Using the Capability worksheet in your BB_Exam.mpx file, perform a Normal Capability analysis on column C1 “Width”. The upper specification should be 24.5, and the lower spec should be 23.5, with a target value of 24. What is the Cpk value for this analysis?
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Question 38 of 56
38. Question
1 point(s)Based on the results of your previous capability analysis, in your estimation, is this process capable?
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Question 39 of 56
39. Question
1 point(s)Using the MultiVari worksheet in your BB_Exam.mpx file, run a multivari chart by Measurement with Unit as Factor 1 and Operator as Factor 2. Which operator has the lowest mean measurement?
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Question 40 of 56
40. Question
1 point(s)Using the worksheet labeled “Analyze” in your BB_Exam.mpx file, you will see that column C1 represents plant growth in centimeters and column C2 represents three types of fertilization techniques (F0, F1, F2). The remaining columns are the “unstacked” growth rates for each of those fertilization techniques. Use this data for this question and the next few. First, run a graphical summary by the variable Fertilizer. Are the data for all three fertilization techniques normally distributed?
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Question 41 of 56
41. Question
1 point(s)Using the worksheet labeled “Analyze” in your BB_Exam.mpx file, you will see that column C1 represents plant growth in centimeters and column C2 represents three types of fertilization techniques (F0, F1, F2). The remaining columns are the “unstacked” growth rates for each of those fertilization techniques. First, run a graphical summary by the variable Fertilizer. Which hypothesis test would you choose to determine if there was a statistically significant difference in growth rates by fertilization technique?
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Question 42 of 56
42. Question
1 point(s)Continuing with the fertilization data, determine if the growth performance for F2 (column c6) is equal to 50?
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Question 43 of 56
43. Question
1 point(s)Using the worksheet labeled “Analyze” in your BB_Exam.mpx file, you will see that column C1 represents plant growth in centimeters and column C2 represents three types of fertilization techniques (F0, F1, F2). The remaining columns are the “unstacked” growth rates for each of those fertilization techniques. Perform the correct hypothesis test to determine if the growth performance for F1 (column c5) is equal to 50. Based on the output of the test you selected, what is the resulting pvalue?
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Question 44 of 56
44. Question
1 point(s)Using the worksheet labeled “Analyze” in your BB_Exam.mpx file, you will see that column C1 represents plant growth in centimeters and column C2 represents three types of fertilization techniques (F0, F1, F2). The remaining columns are the “unstacked” growth rates for each of those fertilization techniques. Perform the proper hypothesis test to determine if there is a statistically significant difference between the growth rates of F0 and F1. What is the resulting pvalue of the test you ran?
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Question 45 of 56
45. Question
1 point(s)Perform a twostep BoxCox Transformation using the data found in column C on the General worksheet of your BB_Exam.mpx file. In the first step of your transformation determine the rounded value for lambda (λ). What is the resulting rounded value for lambda (λ) ?
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Question 46 of 56
46. Question
1 point(s)Perform a twostep BoxCox Transformation using the data found in column C on the General worksheet of your BB_Exam.mpx file. Use your rounded value for lambda, storing results in column C4. Perform a graphical summary on your new data in column C4.

What is the AndersonDarling pvalue?
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Question 47 of 56
47. Question
1 point(s)Using the Stepwise worksheet in your BB_Exam.mpx file, perform a stepwise regression using column c1 as your response and x1, x2, x3, and x4 as continuous predictors. The regression method should be Stepwise and the alpha to enter and alpha to remove should be 0.15. Which predictor variables did Minitab return as significant for the model?
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Question 48 of 56
48. Question
1 point(s)Using the Stepwise worksheet in your BB_Exam.mpx file, perform a stepwise regression using column c1 as your response and x1, x2, x3, and x4 as continuous predictors. The regression method should be Stepwise and the alpha to enter and alpha to remove should be 0.15. What is the model’s Rsq(adj)?

Enter your Stepwise Rsq(adj) vlalue in percent to two decimal places:
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Question 49 of 56
49. Question
1 point(s)Using the data on your General worksheet, perform a correlation analysis on columns C6 and C7, which are labeled D and E, respectively. How would you characterize the relationship between these two sets of data?
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Question 50 of 56
50. Question
1 point(s)How many runs will be in a 2level 5factor Full Factorial DOE with 2 replicates, 1 Block, and 0 Center points?
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Question 51 of 56
51. Question
1 point(s)How many runs will be in a 2level 5factor half fraction DOE with 1 replicate, 1 Block, and 0 Center points?
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Question 52 of 56
52. Question
1 point(s)Match the proper Error Type with it’s relevant description
Sort elements
 Type I Error
 Type II Error

False Positive

False Negative
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Question 53 of 56
53. Question
5 point(s)Match the decision with the proper metric result
Sort elements
 Accept the Measurement System
 Fail to Reject the Null
 Moderate Positive Linear Relationship
 Reject the Null
 Reject the Measurement System

Kappa value 0.85

pvalue=0.490

Correlation Coefficient (r) = 0.6

pvalue of 0.09 when the alpha is 0.10

% Contribution in a Variable Gage R&R = 12%
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Question 54 of 56
54. Question
1 point(s)Keeping replicates, blocks, and center points the same, do Full Factorial DOE’s require fewer resources and runs than a Fractional Factorial?
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Question 55 of 56
55. Question
1 point(s)Which of the following assumptions is NOT necessary to ensure the reliability of a multiple linear regression model?
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Question 56 of 56
56. Question
1 point(s)The Z distribution is the simplest normal distribution with a mean equal to ______ and a standard deviation equal to ________ ?
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