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Problem 6s.43 Question Help The specifications for a plastic liner for a concret

ID: 370908 • Letter: P

Question

Problem 6s.43

Question Help

The specifications for a plastic liner for a concrete highway project calls for thickness of

4.04.0

mmplus or minus±0.100.10

mm. The standard deviation of the process is estimated to be

0.020.02

mm.The upper specification limit for this product =

nothing

mm (round your response to three decimal places).

Problem 6s.43

Question Help

Score: 0 of 1 pt 2013 (1 complete) HW Score: 16.67%, 0.5 of 3 pts Problem 6s.42 Question Help 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 experimants and found that the valve has a mean (u) of 12.00 and a standard deviation (r) of 0.05 Your desired performance is-12.00 ± 3 standard deviations, where 0060 For the given information the process capabilty index (Cokja round your reap rae to thee dean si pieces

Explanation / Answer

Ans. 6s.42)

To be calculated:

Process capability index, Cpk

Given values:

Mean value = 12

Standard deviation, sigma = 0.05

Desired mean value = 12 +/- 3

Desired standard deviation = 0.060

Upper specification limit, USL = 12 + 3 = 15

Lower specification limit, LSL = 12 - 3 = 9

Process capability index can be calculated as:

Cpk = min. [(USL - mean) / 3 x std. dev.] , [(mean - LSL) / 3 x std. dev.]

Cpk = min. [(15 - 12) / 3 x 0.060] , [(12 - 9 ) / 3 x 0.060]

Cpk = min. [ (3) / (0.18) ] , [ (3) / (0.18) ]

Cpk = min. [16.67] , [16.67]

Process capability index is 16.67