Lean Six Sigma Black Belt Practice Exam — All Questions

A process produces 15 defects across 300 units, each with 5 defect opportunities. What is the DPMO?

• a.5,000
• b.10,000✓
• c.1,500
• d.50,000

DPMO = 15 / (300 x 5) x 1,000,000 = 15/1500 x 1,000,000 = 10,000.

Approximately how many DPMO corresponds to a 3-sigma process (with the 1.5-sigma shift)?

• a.About 66,807✓
• b.About 3.4
• c.About 233
• d.About 6,210

A 3-sigma process is roughly 66,807 DPMO; 6 sigma is 3.4 DPMO.

Gage R&R (a Measurement System Analysis) assesses:

• a.Customer satisfaction
• b.Project ROI
• c.Repeatability and reproducibility of the measurement system✓
• d.The control plan

Gage R&R quantifies measurement variation from equipment (repeatability) and appraisers (reproducibility).

A process has USL 110, LSL 90, and a standard deviation of 2.5 (centered). What is Cp?

• a.1.00
• b.2.00
• c.0.67
• d.1.33✓

Cp = (USL - LSL) / (6 x sigma) = 20 / 15 = 1.33.