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15 February, 07:16

A manager states that his process is really working well. Out of 1,500 parts, 1,477 were produced free of a particular defect and passed inspection. Based upon Six Sigma theory, how would you rate this performance, other things being equal?

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Answers (2)
  1. 15 February, 07:51
    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!
  2. 15 February, 10:44
    0
    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.
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