Black Belt W24 Certification Review

90 Questions | Total Attempts: 94

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IT Certification Quizzes & Trivia

Certification Exam Review Questions


Questions and Answers
  • 1. 
    An Invoice Operation is investigating their error rate.  The first step should be to
    • A. 

      Calculate the operation's DPMO

    • B. 

      Count the number of errors occurring

    • C. 

      Determine the process customers and their requirements

    • D. 

      Determine what constitutes a statistically significant sample

  • 2. 
    In a particular process, 500 orders were submitted, of which 50 contained errors.Of the 50, 35 were corrected and reprocessed.  The Throughput Yield for this process step is:
    • A. 

      99%

    • B. 

      97%

    • C. 

      95%

    • D. 

      90%

  • 3. 
    The Define Stage of DMAIC is
    • A. 

      Is linked with the Project Definition/Scoping and provides input to the Measure phase

    • B. 

      Stands alone in the methodology, but is always necessary

    • C. 

      Is not necessary when the project is mandated by top management

    • D. 

      None of the above

  • 4. 
    A frame is
    • A. 

      Another term for the population

    • B. 

      A sample from the population

    • C. 

      A list of items representing the population

    • D. 

      The RDMAIC methodology

  • 5. 
    The basic premise of Six Sigma is that sources of variation can be:
    • A. 

      Identified

    • B. 

      Quantified

    • C. 

      Eliminated or controlled

    • D. 

      All of the Above

  • 6. 
    The Throughput Yield for six departments processing an order in series is as follows:  99.7%, 99.5%, 95%, 89%, 92.3%, and 94%.  The probability of no defects acress all steps (rolled throughput yield) is:
    • A. 

      89%

    • B. 

      77%

    • C. 

      73%

    • D. 

      Approximately 30%

  • 7. 
    A Six Sigma level of quality:
    • A. 

      Implies 99.73% of the output will meet customer requirements

    • B. 

      Represents 3.4 defects per million opportunities

    • C. 

      Equates to a capability index of 1.33

    • D. 

      Provides half the defects of a 3 Sigma level of quality

  • 8. 
    What are the key "Critical to Quality" areas?
    • A. 

      Time, Resources, Money

    • B. 

      Delivery, Price, Resources

    • C. 

      Quality, Cost, Resources

    • D. 

      Cost, Delivery, Quality

  • 9. 
    The benefits of a process map would include:
    • A. 

      Communication of the process

    • B. 

      Identification of bottle necks

    • C. 

      Identification of non-value added steps

    • D. 

      All of the above

  • 10. 
    In a process, the upper and lower control limits are determined by:
    • A. 

      Process owner

    • B. 

      Customer

    • C. 

      Process

    • D. 

      Black Belt

  • 11. 
    The area under a normal curve to the right of the mean represents:
    • A. 

      3 standard deviations

    • B. 

      50% of the total area

    • C. 

      99% of the total area

    • D. 

      A and B

  • 12. 
    Special Cause variation is random, expected variation
    • A. 

      True

    • B. 

      False

  • 13. 
    A Process has seven critical characteristics, in a sample of 1,000 orders the number of opportunities for defects used in calculating DPMO is:
    • A. 

      10,000

    • B. 

      1,000

    • C. 

      7,000

    • D. 

      Cannot be determined

  • 14. 
    When every item has equal probability of being selected, the sampling strategy used is called
    • A. 

      Systematic Random Sampling

    • B. 

      Simple Random Sampling

    • C. 

      Complex Random Sampling

    • D. 

      None of the Above

  • 15. 
    Specification limits are established by
    • A. 

      Black Belt

    • B. 

      Only the number of samples used in the subgroup

    • C. 

      The process and are set at 6 standard deviations from the mean

    • D. 

      The customer

  • 16. 
    If a distribution is positively skewed, the mean will be
    • A. 

      Zero

    • B. 

      Less than the median

    • C. 

      Greater than the median

    • D. 

      Equal to the median

  • 17. 
    The concept of a "dashboard" is to
    • A. 

      Show how to improve a metric

    • B. 

      Show the critical metrics to monitor

    • C. 

      Show the solution to a problem

    • D. 

      All of the above

  • 18. 
    Manually calculate the standard deviation of the following sample set of data:52, 20, 24, 31, 35, 42
    • A. 

      13.8

    • B. 

      12.8

    • C. 

      11.8

    • D. 

      10.8

  • 19. 
    In developing a SIPOC, a Black Belt is concerned with documenting a process at a high level.  The major components include
    • A. 

      Process Description

    • B. 

      Customers

    • C. 

      Inputs/Outputs

    • D. 

      All of the above

  • 20. 
    The SIPOC is used to
    • A. 

      Identify gaps in the process

    • B. 

      Identify value added and non-value added steps

    • C. 

      Train new employees on the process

    • D. 

      Identify bottlenecks in the processes

  • 21. 
    Six Sigma objectives are to
    • A. 

      Center the process on target and to reduce variation

    • B. 

      Have zero defects

    • C. 

      Determine what constitutes a statistically significant sample

    • D. 

      A and B

    • E. 

      None of the above

  • 22. 
    If a distribution is positively skewed the median will be
    • A. 

      Zero

    • B. 

      Less than the Mean

    • C. 

      Greater than the Mean

    • D. 

      Equal to the Mean

  • 23. 
    Calculate the Standard Deviation of the following population data:50, 20, 35, 15
    • A. 

      13.7

    • B. 

      10.8

    • C. 

      15.8

    • D. 

      11.8

  • 24. 
    A process produces 350 orders, of which 50 contained errors.  Of the 50, 35 were corrected and processed.  The yield for this process is
    • A. 

      86%

    • B. 

      90%

    • C. 

      96%

    • D. 

      97%

  • 25. 
    Which is not a step in developing a Cause and Effect Matrix?
    • A. 

      Prioritizing outputs

    • B. 

      Calculating variation

    • C. 

      Listing inputs

    • D. 

      Correlating inputs and outputs

  • 26. 
    Caluclate the z-value given the following information:  u=100, r=5, and the Point of Interest or the USL equals 125
    • A. 

      5.0

    • B. 

      1.5

    • C. 

      1.0

    • D. 

      8.7

  • 27. 
    The FMEA requires a Risk Priority Number (RPN) to be calculated.  The RPN is the product of which 3 rankings:
    • A. 

      DPU, Probability of Occurrence, Difficulty to detect

    • B. 

      DPMO, Severity, Difficulty to Detect

    • C. 

      Severity, Probability of Occurrence, Z-score

    • D. 

      Severity, Probability of Occurrence, Difficulty to Detect

  • 28. 
    Determine the total area under the curve to the left of the Z-score = 0.86
    • A. 

      .8315

    • B. 

      .1949

    • C. 

      .8051

    • D. 

      .8264

  • 29. 
    Assuming that the average number of days an account receivable is on the books until funds are received is 30 days with a Standard Deviation of 4 days.  How many days does it take until 40% of the Accounts Receivables have been paid?
    • A. 

      19

    • B. 

      24

    • C. 

      29

    • D. 

      None of the above

  • 30. 
    In a control chart, the upper and lower control limits are determined by
    • A. 

      Process Owner

    • B. 

      Process

    • C. 

      Customer

    • D. 

      Black Belt

  • 31. 
    The variation that results when different conditions are used to make the measurements is classified as
    • A. 

      Linearity

    • B. 

      Accuracy

    • C. 

      Reproducibility

    • D. 

      Repeatability

  • 32. 
    The proper order of steps in a Six Sigma project is
    • A. 

      Determine customer requirements, Validate the measurement system, Develop a data collection plan, Collect baseline data, Identify possible solutions

    • B. 

      Determine customer requirements, Collect baseline data, Develop a data collection plan, Validate the measurement system, Identify possible solutions

    • C. 

      Determine customer requirements, Validate the measurement system, Collect baseline data, Develop a data collection plan, Identify possible solutions

    • D. 

      Validate the measurement system, Determine customer requirements, Develop a data collection plan, Collect baseline data, Identify possible solutions

  • 33. 
    In a normal distribution, what is the area under the curve between +0.8 and +1.7 standard deviation units?
    • A. 

      0.1974

    • B. 

      0.1673

    • C. 

      0.1760

    • D. 

      None of the above

  • 34. 
    A standard Z table is used to determine the area under the curve.  The area under the curve represents probability.
    • A. 

      True

    • B. 

      False

  • 35. 
    A distribution is considered normally distributed is the P-value is less than .05
    • A. 

      True

    • B. 

      False

  • 36. 
    What is the value of Z in the normal tables that has 3% of the area in the tail beyond it?
    • A. 

      2.05

    • B. 

      1.88

    • C. 

      2.33

    • D. 

      None of the above

  • 37. 
    The prime use of a control chart is to
    • A. 

      Detect assignable causes of variation in the process

    • B. 

      Detect nonconforming product

    • C. 

      Measure the performance of all quality characteristics of a process

    • D. 

      None of the above

  • 38. 
    Universities and colleges have classifications of freshmen, sophomores, juniors, and seniors; these are examples of which data type:
    • A. 

      Nominal

    • B. 

      Ordinal

    • C. 

      Continuous

    • D. 

      Interval

  • 39. 
    A process that is in statistical control would be a process that would always meet customer specifications
    • A. 

      True

    • B. 

      False

  • 40. 
    You will be checking 40 valves a day for defects.  You will record the defects for 30 consecutive weeks.  Which control chart will you use?
    • A. 

      Xbar and R chart

    • B. 

      I-MR Chart

    • C. 

      Np Chart

    • D. 

      C chart

  • 41. 
    You inspect 100 credit applications a day.  It is either correct and you can pass it through or it is incorrect.  The control chart that you want to use is:
    • A. 

      I-MR chart

    • B. 

      Np chart

    • C. 

      Xbar and R chart

    • D. 

      C chart

  • 42. 
    One of the benefits of using either the p-chart or the u-chart is that they both can be used with
    • A. 

      Attribute data

    • B. 

      Unequal subgroup sizes

    • C. 

      Small amounts of data

    • D. 

      Both A & B

  • 43. 
    When collecting data for creating a control chart, it is important to
    • A. 

      Sort the data from high to low

    • B. 

      Keep the data in original time order

    • C. 

      Sort the data from low to high

    • D. 

      None of the above

  • 44. 
    You have Attribute Data, Constant Subgroup Sizes, and DefectivesSelect the appropriate Control Chart
    • A. 

      U Chart

    • B. 

      C Chart

    • C. 

      P or Np Chart

    • D. 

      Xbar S Chart

  • 45. 
    You have Attribute Data, Non-Constant Subgroup Sizes, and DefectivesSelect the appropriate Control Chart
    • A. 

      U Chart

    • B. 

      C Chart

    • C. 

      P Chart

    • D. 

      Xbar S Chart

  • 46. 
    You have Attribute Data, Constant Subgroup Sizes, and DefectsSelect the appropriate Control Chart
    • A. 

      U or C Charts

    • B. 

      P Chart

    • C. 

      IMR Chart

    • D. 

      Np Chart

  • 47. 
    You have Attribute Data, Non-Constant Subgroup Sizes, and DefectsSelect the appropriate Control Chart
    • A. 

      Xbar S Chart

    • B. 

      Xbar R Chart

    • C. 

      P chart

    • D. 

      U Chart

  • 48. 
    You have Continuous or Variable Data and 1 SubgroupSelect the appropriate Control Chart
    • A. 

      P Chart

    • B. 

      IMR Chart

    • C. 

      Xbar R Chart

    • D. 

      U Chart

  • 49. 
    You have Continuous or Variable Data and 10 SubgroupsSelect the appropriate Control Chart
    • A. 

      P Chart

    • B. 

      U Chart

    • C. 

      IMR Chart

    • D. 

      Xbar R Chart

  • 50. 
    You have Continuous or Variable Data and 25 SubgroupsSelect the appropriate Control Chart
    • A. 

      Xbar S Chart

    • B. 

      Xbar R Chart

    • C. 

      IMR Chart

    • D. 

      P Chart

  • 51. 
    Determine the correct chart for the labor hours of engineering projects using samples of thirteen every day for 25 consecutive days.
    • A. 

      IMR Chart

    • B. 

      Xbar R Chart

    • C. 

      Xbar S Chart

    • D. 

      U Chart

  • 52. 
    The use of main effects plots will help to do all of the following except
    • A. 

      Determine which factors affect the CTQ

    • B. 

      Determine which direction the CTQ moves when you change a factor

    • C. 

      Show relative influence each factor has on a CTQ

    • D. 

      Find combinations/interactions of factors that explain variability in the CTQ

  • 53. 
    When finding a confidence interval for mean u based on a sample size n
    • A. 

      Increasing n increases the interval

    • B. 

      Increasing n decreases the interval

    • C. 

      The larger the interval, the better the estimate of u

    • D. 

      Having to use s instead of r decreases the interval

  • 54. 
    Which of the following cannot be a Null Hypothesis?
    • A. 

      The population means are equal

    • B. 

      The population proportions are equal

    • C. 

      The sample means are equal

    • D. 

      The difference in the population means is 3.85

  • 55. 
    A 95% confidence interval for the mean is from 13.8067 to 18.1933.  This means that
    • A. 

      95% of all values in the population lie between 13.8067 and 18.1933

    • B. 

      There is a 95% probability that the true mean lies between 13.8067 and 18.1933

    • C. 

      95% of all the sample values in the population lie between 13.8067 and 18.1933

    • D. 

      None of the above

  • 56. 
    The alpha risk is
    • A. 

      The producer's risk

    • B. 

      The consumers risk

    • C. 

      The risk of finding a difference when there isn't one

    • D. 

      The risk of not finding a difference when there really is one.

    • E. 

      A and C

  • 57. 
    Determine the sample size needed to detect a mean shift of 3.2 on a process with a variance of 9.  Use an alpha of 5% and a beta of 10%.
    • A. 

      6

    • B. 

      12

    • C. 

      86

    • D. 

      None of the above

  • 58. 
    A team is trying to determine if a new machine installed in the process has changed the yield.  A sample of 1966 units prior to the change contained 166 defects.  A sample of 897 after the change contained 247 defects.  Determine the hypotheses.
    • A. 

      Ho: Proportion B Proportion A

    • B. 

      Ho: Mean B >= Mean A Ha: Mean B < Mean A

    • C. 

      Ho: Proportion B = Proportion A Ha: Proportion B Proportion A

    • D. 

      Ho: Mean B = Mean A Ha: Mean B Mean A

    • E. 

      None of the above

  • 59. 
    A team is trying to determine if a new machine installed in the process has changed the yield.  A sample of 1966 units prior to the change contained 166 defects.  A sample of 897 after the change contained 247 defects.  With an alpha risk of .05, perform the statistical analysis and determine the power of the test.
    • A. 

      Yes, there is a difference, p-value is 0 and the power is 100%

    • B. 

      Yes, after the change is better, p-value is 0, but the power is 0%

    • C. 

      No, there is not a difference, p-value is 1 and the power is 100%

    • D. 

      No, before the change is better, p-value is 1 and the power is 100%

    • E. 

      None of the above

  • 60. 
    Determine the sample size needed to test whether a population has changed from its current value of 56% to a target value of 54%.  Use an alpha of 5% and a beta of 20%
    • A. 

      9712

    • B. 

      7650

    • C. 

      6494

    • D. 

      None of the above

  • 61. 
    A quality control inspector at a power station inspected 100 metal pins.  Safety laws dictate that the variance of the pins' length must be less than 0.001 inches.  Test the hypothesis at 1% significance level.  Open worksheet QCI.mtw  Is the power station in accordance with safety laws?
    • A. 

      Yes, the power station is in accordance with safety laws

    • B. 

      No, the power station is not in accordance with safety laws

  • 62. 
    Invoices are processed in 4 different regions of the country.  We want to know if there is a difference in processing speeds between any of the regions.  We know that the underlying variability of processing speeds has a standard deviation of 30 minutes.  If we want to detect a 10 minute difference, how many samples do we need to collect?  Assume you will use an alpha of .05 and a beta of 20%
    • A. 

      112

    • B. 

      143

    • C. 

      198

    • D. 

      None of the above

  • 63. 
    If a distribution is negatively skewed, the mean will be
    • A. 

      Zero

    • B. 

      Less than the Median

    • C. 

      Greater than the Median

    • D. 

      Equal to the Median

  • 64. 
    If we have attribute data, then we should run a Process Capability Analysis to determine our Z-Score.
    • A. 

      True

    • B. 

      False

  • 65. 
    You will be checking 25 fuses a day for defects.  You will record the defects for 30 consecutive weeks.  Which control chart will you use?
    • A. 

      Xbar and R Chart

    • B. 

      I-MR Chart

    • C. 

      Np Chart

    • D. 

      C Chart

  • 66. 
    The variation that results when multiple measurements of the same unit under identical conditions is classified as
    • A. 

      Linearity

    • B. 

      Accuracy

    • C. 

      Reproducibility

    • D. 

      Repeatability

  • 67. 
    Assuming that the average number of days an account receivable is on the books until funds are received is 25 days, with a standard deviation of 4 days.  How many days does it take until 40% of the accounts receivables have been paid?
    • A. 

      19

    • B. 

      24

    • C. 

      29

    • D. 

      None of the above

  • 68. 
    A distribution is considered normally distributed if the P-value is greater than .05
    • A. 

      True

    • B. 

      False

  • 69. 
    Select the Control Chart for Attribute Data, Defective Units, Non-Constant Subgroup Size
    • A. 

      C Chart

    • B. 

      U Chart

    • C. 

      P Chart

    • D. 

      S Chart

  • 70. 
    Select the Control Chart for Attribute Data, Defective Units, Constant Subgroup Size
    • A. 

      C or Xbar R Chart

    • B. 

      Xbar R or Xbar S Chart

    • C. 

      C or U Chart

    • D. 

      P or NP Chart

  • 71. 
    Select the Control Chart for Attribute Data, Defects, Non-Constant Subgroup Size
    • A. 

      U Chart

    • B. 

      P Chart

    • C. 

      NP Chart

    • D. 

      IMR Chart

  • 72. 
    Select the Control Chart for Attribute Data, Defects, Constant Subgroup Size
    • A. 

      P or NP Chart

    • B. 

      C or U Chart

    • C. 

      IMR or Xbar R Chart

    • D. 

      Xbar S Chart

  • 73. 
    The residuals should be analyzed when performing a DOE
    • A. 

      True

    • B. 

      False

  • 74. 
    The operating range of factors under study describes which of the following terms
    • A. 

      Replicate

    • B. 

      Inference Space

    • C. 

      Randomization

    • D. 

      Response

  • 75. 
    An assembly process is receiving incorrect pieces for assembly.  To ensure that only the correct pieces are sent, the parts tub is redesigned so that only the correct pieces (and their correct number) can fit into the tub.  This is an application of
    • A. 

      Kanban

    • B. 

      Poka-yoke

    • C. 

      Visual factory

    • D. 

      5s

  • 76. 
    What best describes the document that tells the process team what to do (or try) if something deteriorates of is deteriorating?
    • A. 

      Long term gauge plan

    • B. 

      Preventive Maintenance Plan

    • C. 

      Reaction Plan

    • D. 

      Change/Revision Control

  • 77. 
    The controls established in a control plan should
    • A. 

      Be in writing

    • B. 

      Be usable and accepted by the owners/users

    • C. 

      Try to control all of the process' KPIVs

    • D. 

      All of the above

  • 78. 
    The 5 S's would include which of the following
    • A. 

      Sorting, Sweeping, Standardizing, Self Discipline, Steady

    • B. 

      Sorting, Simplifying, Standardizing, Self Denial, Steady

    • C. 

      Sorting, Set in Order, Sweeping, Standardizing, Sustain

    • D. 

      Sorting, Simplifying, Sweeping, Static, Self Discipline

  • 79. 
    The correlation coefficient lies between -1 and +1.  If the coefficient is 0, this indicates the strongest linear correlation possible.
    • A. 

      True

    • B. 

      False

  • 80. 
    Correlation does not imply causation because a third variable may be "lurking" that causes both  X and Y to vary
    • A. 

      True

    • B. 

      False

  • 81. 
    In regression analysis, the difference between th predicted value and the observed value is
    • A. 

      R-sq value

    • B. 

      R-sq (adj) value

    • C. 

      P-value

    • D. 

      Residual

  • 82. 
    When collecting data for creating a control chart, it is important to
    • A. 

      Sort the data from high to low

    • B. 

      Keep the data in original time order

    • C. 

      Sort the data from low to high

    • D. 

      None of the above

  • 83. 
    Assuming the average number of days an account receivable is on the books until funds are received is 25 days, with a standard deviation of 4.6 days.  Approximately how many days does it take until 10% of the accounts receivables have been paid?
    • A. 

      19

    • B. 

      24

    • C. 

      29

    • D. 

      None of the Above

  • 84. 
    Pearson Correlation Coefficient is a number that gives strength and direction of linear correlation
    • A. 

      True

    • B. 

      False

  • 85. 
    The company considers a broken electric insulator nonconforming to standards.  Various numbers of insulators are randomly selected for 25 consecutive days.  The correct control chart is
    • A. 

      Np chart

    • B. 

      U chart

    • C. 

      Xbar and S chart

    • D. 

      P chart

  • 86. 
    Determine the Sample Size needed to detect a mean shift of 3.2 on a process with a standard deviation of 9.  Use an Alpha of 5% and a Beta of 10%
    • A. 

      6

    • B. 

      12

    • C. 

      86

    • D. 

      None of the Above

  • 87. 
    The first step in Hypothesis Testing is
    • A. 

      Calculate the p-value

    • B. 

      Determine the appropriate statistical test

    • C. 

      State the null and alternative hypotheses

    • D. 

      Select the significance level (alpha risk)

  • 88. 
    The last step in Hypothesis Testing is
    • A. 

      Collect the data (sample data)

    • B. 

      Determine the appropriate statistical test

    • C. 

      Calculate the p-value

    • D. 

      Compare the p-value to the alpha risk and make the decision

  • 89. 
    150 meter reads were analyzed and the last digit was recorded.  You want to find out if the frequency of these digits occur by chance or were the meters being estimated?  The expected frequency = 15 for each digit.  There are 10 digits 0 - 9 each with Observed Frequencies.  What test would you use?
    • A. 

      1 Proportion Test

    • B. 

      Chi Square Goodness of Fit Test

    • C. 

      One Way ANOVA Test

    • D. 

      Test for Equal Variance

  • 90. 
    RDMAIC stands for
    • A. 

      Read, Determine, Move, Attribute, Interpret, Combine

    • B. 

      Recognize, Define, Measure, Analyze, Improve, Control

    • C. 

      Ready, Do, Minimize, Act, Investigate, Copy

    • D. 

      Redo, Do, Make, At, Incorrect, Correct