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

Question

The specifications for a plastic liner for a concrete highway project calls for thickness of 3.0 mm plusminus 0.08 mm. The standard deviation of the process is estimated to be 0.02 mm. The upper specification limit for this product = Square mm (round your response to three decimal places). The lower specification limit for this product = Square mm (round your response to three decimal places). The process is known to operate at a mean thickness of 3.0 mm. The process capability index (C_pk) = Square (roundyour response to three decimal places). The upper specification limit lies about Square standard deviations from the centerline (mean thickness).

Explanation / Answer

a)

Upper Specification limit for this product = 3 + 0.08 = 3.08 mm

b)

Lower Specification limit for this product = 3 – 0.08 = 2.92

c)

Cpk = min (((USL – mean)/(3 * Standard Dev)), ((Mean - LSL)/(3 * Standard Dev)))

Cpk = min (((3.08 – 3) / (3 *0.02)) , ((3 – 2.92) / (2*0.02))

Cpk = min (1.33 , 1.33)

Cpk = 1.33

d)

4

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