Linda Boardman, Inc., an equipment manufacturer in Boston, has submitted a sampl

Question

Linda Boardman, Inc., an equipment manufacturer in Boston, has submitted a sample cutoff valve to improve your manufacturing process. Your process engineering department has conducted experiments and found that the valve has a mean

(mu)

of

12.0012.00

and a standard deviation

(sigma)

of

0.050.05.

Your desired performance is

mu

=

12.0012.00

plus or minus±3

standard deviations, where

sigma

=

0.0600.060.

For the given information, the process capability index

Problem 65.42 Question Help Linda Boardiman, Inc., an equipment manufacturer in Boston, has submited a sample cutoff valva to improve your manufacturing process. Your procass engineering departmant has conducted axperiments and found that the valve has a mean(o 12.00 and a standard deviation () of 0.05. Your desired performance is = 12.00 ±3 standard deviations, where = 0.060 For the glven Information, the process capebility Inderound your respanse to three decimal places).

Explanation / Answer

Process capability Index is used to measure ability of a process to perform within specified range.

Cpk = Minimum of (Cpl, Cpu)

Where Cpl = USL - / 3*

And Cpu = - LSL / 3*

USL = Upper specification Limit is dervied from desired performance which is 12+ 3*0.06 = 12.18

LSL = Lower specification Limit which is 12- 3*0.06 = 11.82

Mean ()=12

Standard Deviation () = 0.05

Cpl = (12.18 - 12) /3*0.05 = 1.2

Cpu = 12-11.82/3*0.05 = 1.2

Cpk = Minimum of Cpl and Cpu = 1.2

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