Certified Six Sigma Black Belt Exam Certified Six Sigma Black Belt Measurement System Analysis Questions and Answers 2 — Questions and Answers
Question 1: What does a Gage R&R study primarily evaluate in a measurement system?
- Repeatability and reproducibility of measurements (Correct answer)
- Accuracy and precision of the measuring instrument
- Linearity and stability over time
- Resolution and sensitivity of the gage
Correct answer: Repeatability and reproducibility of measurements
A Gage R&R study specifically assesses repeatability (variation from the same operator measuring the same part) and reproducibility (variation between different operators).
Question 2: In an MSA, if the %Study Variation for repeatability is 45%, what is the most appropriate action?
- Accept the measurement system as is
- Retrain operators on measurement technique
- Improve or replace the measurement instrument (Correct answer)
- Increase the number of operators in the study
Correct answer: Improve or replace the measurement instrument
High repeatability variation (above 30%) indicates the instrument itself introduces excessive variation and should be improved or replaced.
Question 3: Which type of measurement system error is indicated when measurements consistently read 0.05 units higher than the true reference value?
- Linearity error
- Stability drift
- Bias error (Correct answer)
- Discrimination error
Correct answer: Bias error
Bias is the systematic difference between the average measured value and the true reference value across the measurement range.
Question 4: What is the minimum number of distinct categories (ndc) recommended by AIAG for an acceptable measurement system?
- 3
- 5 (Correct answer)
- 7
- 10
Correct answer: 5
The AIAG MSA manual recommends a minimum of 5 distinct categories to indicate the measurement system can adequately distinguish between parts.
Question 5: During a linearity study, what condition is being assessed?
- Whether bias remains constant across the full operating range of the gage (Correct answer)
- Whether different operators get the same results on the same parts
- Whether the gage produces the same results over extended time periods
- Whether the gage can detect small differences between parts
Correct answer: Whether bias remains constant across the full operating range of the gage
Linearity evaluates whether the measurement bias changes across the expected operating range of the measurement instrument.
Question 6: In a crossed Gage R&R study using ANOVA, which interaction effect is analyzed?
- Part × Instrument interaction
- Operator × Environment interaction
- Operator × Part interaction (Correct answer)
- Instrument × Calibration interaction
Correct answer: Operator × Part interaction
The ANOVA method in a crossed Gage R&R analyzes the Operator × Part interaction to determine if certain operators measure specific parts differently.
What does a Gage R&R study primarily evaluate in a measurement system?