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Marrrta [24]
3 years ago
13

A manager states that his process is really working well. Out of 1,500 parts, 1,477 were produced free of a particular defect an

d passed inspection. Based upon Six Sigma theory, how would you rate this performance, other things being equal?
Mathematics
2 answers:
Nina [5.8K]3 years ago
8 0

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.

algol133 years ago
5 0

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!

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I was taught to see mode as the word "most". All you do is see which number occurs the most. If all the numbers only occur once, your answer would be "No mode"


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