Product specifications call for a part at Vaidy Jayaraman's Metalworks to have a length of 1.200 " plus or minus. 070 ". Currently, the process is performing at a grand average of 1.2 00" with a standard deviation of 0.010 ". Calculate the capability index of this process. The Upper C Subscript pk of this process is nothing (round your response to two decimal places).

Question

Mathematics

Demetrius Warren

25 December, 01:40

Product specifications call for a part at Vaidy Jayaraman's Metalworks to have a length of 1.200 " plus or minus. 070 ". Currently, the process is performing at a grand average of 1.2 00" with a standard deviation of 0.010 ". Calculate the capability index of this process. The Upper C Subscript pk of this process is nothing (round your response to two decimal places).

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Vargas · Answer 1

Step-by-step explanation:

Upper specification limit (USL) = 1.200+0.070 = 1.270

Lower specification limit (LSL) = 1.200-0.070 = 1.130

Mean = 1.200

Standard deviation (SD) = 0.010

Cpl = (Mean - LSL) / (3 x SD) = (1.200-1.130) / (3x0.010) = 0.070/0.03 = 2.33

Cpu = (USL - Mean) / (3 x SD) = (1.270-1.200) / (3x0.010) = 0.070/0.03 = 2.33

Process capability index (Cpk) = Minimum of (Cpu, Cpl)

= Minimum of (2.33, 2.33)

= 2.33