1) The process is known to operate at a mean thickness of 4.0 mm. The process ca
ID: 372649 • Letter: 1
Question
1) The process is known to operate at a mean thickness of 4.0 mm. The process capability index (Upper C Subscript pkCpk) = (round your response to three decimal places).
2) The upper specification limit lies about ?
%) Problem 6s.43 The specifications for a plastic liner for a concrete highway project calls for thickness of 4.0 mm ±0.10 mm. The standard deviation of the process is estimated to be 0.02 mm. The upper specification limit for this product- 4.1 mm (round The lower specification limit for this product3.9 mm (round your response to three decimal places) The process is known to operate at a mean thickness of 4.0 mm. The process capability index Cp = ound your response ree decimal places your response to three decimal places)Explanation / Answer
The Upper Specification Limit for the product = USL = 4 + 0.10 = 4.1 MM
The Lower specification Limit for the Product = LSL = 4 – 0.10 = 3.9 MM
Process Mean = m = 4
Standard deviation of the process = S = 0.02 mm
Therefore Process Capability Index , Cpk
= Minimum ( ( USL – m)/3x S , ( M – LSL) /3 x S )
= Minimum ( 4.1 – 4) / 3x 0.02 , ( 4 – 3.9)/3 x 0.02)
= Minimum ( ( ( 4.1 – 4) /0.06 , ( 4 – 3.9) /0.06)
= Minimum ( 0.1/0.06 , 0.1/0.06)
= Minimum ( 1.666, 1.666)
= 1.666
THE PROCESS CAPABILITY INDEX Cpk = 1.666
THE PROCESS CAPABILITY INDEX Cpk = 1.666
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