Certified Six Sigma Black Belt Measurement System Analysis Questions and Answers

Question 1

A Gage R&R study was performed to evaluate a measurement system.
The results show that the %Contribution for the total Gage R&R is 25%, with repeatability accounting for 20% and reproducibility for 5%.
The part-to-part variation is 75%.
What is the most appropriate conclusion and next step?

Accepted Answer

The measurement system is unacceptable because the total Gage R&R variation is too high, and the primary issue is with the measurement device itself.

Answer

The measurement system is acceptable, as the part-to-part variation is the largest source of variation.

Answer

The measurement system is unacceptable, and the primary focus for improvement should be on training the operators.

Answer

The measurement system is marginally acceptable, but the operators are using the gage inconsistently.

Question 2

A Black Belt is conducting a Measurement System Analysis on a new digital scale. They measure a certified 10.00kg standard weight multiple times across the scale's operating range (from 1kg to 50kg). They find that the average measurement for the 10.00kg weight is 10.05kg, but for a 40.00kg standard weight, the average measurement is 40.30kg. This issue, where the magnitude of the error changes across the measurement range, is known as a problem with:

Accepted Answer

Linearity

Answer

Stability

Answer

Repeatability

Answer

Reproducibility

Question 3

An Attribute Agreement Analysis is being conducted for a visual inspection process where operators classify products as 'Pass' or 'Fail'. Which of the following is the primary goal of this type of study?

Accepted Answer

To assess the consistency of the appraisers' judgments against a standard and against each other.

Answer

To determine the bias and linearity of the attribute measurement system.

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To calculate the process capability (Cpk) based on the inspection results.

Answer

To establish statistical control limits for the number of defects found.

Question 4

In the context of a Gage R&R study, which of the following best describes 'reproducibility'?

Accepted Answer

The variation observed when different appraisers measure the same part multiple times using the same gage.

Answer

The variation observed when the same appraiser measures the same part multiple times using the same gage.

Answer

The difference between the average of the measurements and the true value of the part.

Answer

The ability of the measurement system to produce the same results over an extended period of time.

Question 5

A Six Sigma team analyzes the output of a Gage R&R study and finds that the Number of Distinct Categories (ndc) is 2. What does this value indicate about the measurement system?

Accepted Answer

The measurement system is only able to divide the process data into two groups, which is inadequate for process control.

Answer

The measurement system has excellent resolution and can distinguish between many different levels of performance.

Answer

The study was conducted with only two operators, limiting the validity of the results.

Answer

The measurement system has a significant linearity problem that must be addressed.

Question 6

Which of the following describes a measurement system property known as 'stability'?

Accepted Answer

The consistency of the measurement system's bias over time.

Answer

The change in bias across the full operating range of the gage.

Answer

The variation due to different operators using the measurement system.

Answer

The consistency of measurements on the same part by the same operator.