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 = ?
Answer:
Company 1: Possible
Company 3: Impossible
Company 3: Possible
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.