A kayak manufacturer produces a product for which there are 35 possible defect opportunities. If in the course of a week the company makes 243 units and discovers 72 total defects, which value below most closely corresponds to the manufacturer's sigma level?
A) 2
B) 3
C) 4
D) 5

Question

Quizplus · Accepted Answer

First, we need to calculate the defect rate per unit:
Defect rate = Total defects / Total units produced
Defect rate = 72 / 243 = 0.2963

Next, we need to calculate the DPMO (Defects per Million Opportunities):
DPMO = Defect rate x Number of defect opportunities x 1,000,000
DPMO = 0.2963 x 35 x 1,000,000
DPMO = 10,368,250

Using a Z-table or a Six Sigma Calculator, we can find that a DPMO of 10,368,250 corresponds to a sigma level of approximately 4. Therefore, the best choice is C.

A Kayak Manufacturer Produces a Product for Which There Are