Question: Construct the appropriate control charts for the attributes below (items shipped per day), The format of the Control Chart should be appropriate for the data

Construct the appropriate control charts for the attributes below (items shipped per day), The format of the Control Chart should be appropriate for the data

Lower Specification, LSL: 350 items

Upper Specification, USL : 525 items

Process Mean, m: 437 items

Process Standard Deviation, s: 200 items

*z value for LSL = (LSL-m)/s = (350-437)/200 = -0.435

*For LSL, P(zLSL) = NORMSDIST(-0.435) = 0.3318

*z value for USL = (USL-m)/s = (525-437)/200 = 0.44

*For USL, P(zUSL) = NORMSDIST(0.44) = 0.67

*Fraction defective = (1-P(zUSL)) + P(zLSL)

= (1-0.67) + 0.3318

= 0.6618

DPMO = Fraction defective * 10^6

= 0.6618*10^6

= 661800

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Yield = 1 - fraction defective

= 1 - 0.6618

= 0.3382

Cp =(USL-LSL)/(6s)

= (525-350)/(3*200)

= 0.1458

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Cpu = (USL-m)/3s

= (525-437)/(3*200)

= 0.1467

Cpl = (437-350)/(3*200)

= 0.145

Cpk = Minimum of Cpu or Cpl

= 0.145

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