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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