Respuesta :
Answer:
The answer is explained below
Step-by-step explanation:
STEP 1
Out of 1500 units produced by a company 1,477 are found to be free of a particular type of defect. One needs to rate the performance based on Six Sigma Theory.
STEP 2
Manager can define the performance of a product using defects per million units DPMO metric
DPMO can be find by using
DPMO = Total number of defects in a sample/ No. of opportunities of per error per unit x No. of units * 1,000,000
= 1500 - 1477/ 1 x 1500* 1,000,000
= 23/1500
= 15,333,33
The defect rate of the process can be find by
Defect rate = No. of defects/ No. of units * 100
= 1500 - 1477/1500 * 100
= 23/1500 * 100
= 1.53%
Six Sigma theory focuses on achieving 3.4 defects per million for a certain period of time. However in this, performance of the process is not as good as stated by the manager.
Given Information:
Total units = 1500
Defect free units = 1477
Required Information:
six-sigma performance = ?
Answer:
six-sigma performance:
DPU = 0.0153333
DMPU = 15333.33
Step-by-step explanation:
The six sigma is measure of quality enhancement in the organizations. There are six levels 1 to 6 where 1 represents lowest quality level and 6 represents highest quality level .
No. of defective units = total no. of units - defect free units
No. of defective units = 1500 - 1477
No. of defective units = 23
Defects per unit (DPU) is given by
DPU = No. of defective units/total no. of units
DPU = 23/1500
DPU = 0.0153333
DPU = 1.53 %
Defects per million units (DMPU) is given by
DMPU = DPU*1 million
DMPU = 0.0153333*1,000,000
DMPU = 15333.33
For six-sigma level DMPU must be equal or less than 3.4.
15333.33 is way more than 3.4 so the performance is not that great!
