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MIE364S_L_3_09

# MIE364S_L_3_09 - MIE364H1S Methods of Quality Control and...

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MIE364H1S Methods of Quality Control and Improvement Course Instructor: Prof. V. Makis Lab #3 1. An X chart with 3-sigma control limits has parameters as follows: UCL = 20.5 LCL = 19.5 Construct an OC curve for the chart. To construct OC curve, we need k (deviation from mean in sigma unit) and the corresponding β (probability of type II error). To calculate β , we use the following formula: ) 3 ( ) 3 ( ) ( 0 k k k x Φ Φ = + σ µ β First, we label six columns as: (See Worksheet 1) C1 = k C2 = (3-k) C3 = (-3-k) C4 = UpperL C5 = LowerL )] 3 ( [ k Φ )] 3 ( [ k Φ C6 = Beta To create C1, Choose Calc Make Patterned Data Simple Set of Numbers… Enter Store patterned data in = C1 From first value = 0 To last value = 7 In step of = 0.5 List each value = 1 times List the whole sequence = 1 times Click OK To create C2, Choose Calc Calculator Input Store result in variable = C2 Expression = 3-C1 Click OK To create C3, Choose Calc Calculator Input Store result in variable = C3 Expression = -3-C1 Click OK To create C4, Choose Calc Probability Distributions Normal… Check Cumulative probability Enter Mean = 0.0 Standard deviation = 1.0 Input column = C2 Optional storage = C4 Click OK To create C5,

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Choose Edit Edit Last Dialog Enter Input column = C3 Optional storage = C5 Click OK To create C6, Choose Calc Calculator Input Store result in variable = C6 Expression = C4 – C5 Click OK To get OC curve, Choose Graph Scatterplots With connect line Click OK Enter Y variables X variables 1 C6 C1 Click Labels Input Title = “OC Curve for Xbar Chart” Click OK Click OK MINITAB Output: k Beta 7 6 5 4 3 2 1 0 1.0 0.8 0.6 0.4 0.2 0.0 OC Curve for Xbar Chart