Company 1: 3.4 defects per 980,000 occurrences Company 2: 4 defects per 1,115,783 occurrences Company 3: 18 defects per 5,999,521 occurrences Is it impossible to meet a six-sigma level? Why or why not?

Given Information:  

Company 1: defects = 3.4

Company 1: units = 980,000

Company 2: defects = 4

Company 2: units = 1,115,783

Company 3: defects = 18

Company 3: units = 5,999,521

Required Information:  

six-sigma level = ?

Company 1: Possible

Company 3: Impossible

Company 3: Possible

Step-by-step explanation:

The six sigma levels are from 1 to 6 where 1 represents lowest quality level and 6 represents highest quality level

To find out sigma level first we have to find out DPU and DMPU

Where DPU is no. of defects divided by no. of units

And DMPU is DPU multiplied by 1 million

Company 1:

DPU = 3.4/980,000 = 0.0000030612

DMPU = 0.0000030612*1,000,000 = 3.06

Company 2:

DPU = 4/1,115,783 = 0.000003584

DMPU = 0.000003584*1,000,000 = 3.58

Company 3:

DPU = 18/5,999,521 = 0.00000300

DMPU = 0.00000300*1,000,000 = 3.0

According to six sigma tables, for six-sigma level, DMPU must be equal or less than 3.4. As you can see only company 1 and 3 has DMPU less than 3.4 therefore, it is possible for company 1 and company 3 to meet six-sigma level but impossible for company 2.

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step-by-step explanation: