Respuesta :
Answer:
a) DPMO = 1411.51 defects per million opportunities with sigma level 4.5
b) DPM = 119,978.8 defects per million opportunities with sigma level 2.7
c) DUPM = 30,884.3 defective units per million with sigma level 3.3
Explanation:
Total number of defects = 1,989
Number of defective cars = 512
Number of units = 16,578
Critical-to-quality characteristics = 85
(a) The number of defects per million opportunities and corresponding sigma level.
DPMO = 1,989/(16,578*85)
DPMO = 1,000,000*0.001411509
DPMO = 1411.51 defects per million opportunities
From the Sigma level table (with 1.5 sigma shift), the sigma level corresponding to 1411.51 is 4.5.
(b) The number of defects per million and corresponding sigma level.
DPM = 1,989/16,578
DPM = 1,000,000*0.11997828
DPM = 119,978.8 defects per million opportunities
From the Sigma level table (with 1.5 sigma shift), the sigma level corresponding to 119,978.8 is 2.7.
(c) The number of defective units per million and corresponding sigma level.
DUPM = 512/16,578
DUPM = 1,000,000*0.0308843045
DUPM = 30,884.3 defective units per million
From the Sigma level table (with 1.5 sigma shift), the sigma level corresponding to 34,865 is 3.3.
Answer:
a) DPMO = 1412 defects/million opportunities
Sigma level = 4.5
b) DPM = 119978 defects per million
Sigma Level = 2.7
c) DUPM = 30884 defective units per million.
Sigma Level = 3.3
Explanation:
If we summarize the data given, we have:
Let's Assume A = Product Units = 16,578 units.
Let's Assume B = Defects = 1989 defects
Let's Assume C = Number defect opportunities per product = 85 defect opportunities.
Let's Assume D = Total defective units = 512
Solution:
a) Number of defects per million opportunities and corresponding six sigma level:
So, we have
DPMO = Defects per Million Opportunities = 1 million x [tex]\frac{B}{AxC}[/tex]
DPMO = 1,000,000 x [tex]\frac{1989}{16,578 x 85}[/tex] = 1412 defects/million opportunities
and this corresponds to the 4.5 six sigma level after interpolating between 4.4 and 4.6 six sigma level. Please refer to the table attached in the attachment.
b) Number of defects per million and corresponding sigma level.
DPM = Defects Per Million = 1 million x [tex]\frac{B}{A}[/tex]
DPM = 1,000,000 x [tex]\frac{1,989}{16,578}[/tex]
DPM = 119978 defects per million
This value correspond to 2.7 sigma level after interpolating between 2.8 and 2.6 sigma level. Please refer to the table in the attachment.
c) Number of defective units per million and corresponding sigma level.
DUPM = Defective Units Per Million = 1 million x [tex]\frac{D}{A}[/tex]
DUPM = 1,000,000 x [tex]\frac{512}{16,578}[/tex]
DUPM = 30884 defective units per million.
This correspond to 3.3 sigma level after interpolating between 3.4 and 3.2 sigma level. Please refer to the table shown in the attachment.
