A brake spare part producer has had some quality problems in one of its operations for...
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A brake spare part producer has had some quality problems in one of its operations for a while. To detect and solve the problems, initially it is decided to apply a statistical control chart for that operation because of quality concerns. Assume that the engineer has decided to use X-R control chart for the collected data given below. Based on these, compute the control limits for the control chart/s for the samples with the size of 4, and draw the graphs. State whether the process is under control or not. Observations in Sample, n A 2 3 4 5 6 7 samples ol 1 0.59 2 0.56 3 0.64 4 0.56 5 0.59 6 0.7 Factors for Control Limits Factors for Center Line Observations 02 0.52 0.62 0.64 0.62 0.6 0.56 03 0.53 0.63 0.62 0.58 0.52 0.81 Factors for Control Limits B₁ A₁ Ve 3.267 O 2.568 O 2.121 1.880 2.659 0.7979 1.2533 1.732 1.023 1.954 0.8862 1.1284 0 1.500 0.729 1.628 0.9213 1.0854 0 2.266 ( 2.088 1.342 0.577 1.427 0.9400 1.0638 0 2.089 ( 1.964 1.225 0.483 1.287 0.9515 1.0510 0.030 1.970 0.029 1.874 1.134 0.419 1.182 0.9594 1.0423 0.118 1.882 0.113 1.806 1.061 0.373 1.099 0.9650 1.0363 0.185 1.815 0.179 1.751 04 0.56 0.58 0.56 0.54 0.58 0.75 Factors for Center Line Vldy 1.128 0.8865 1.693 0.5907 2.059 0.4857 2.326 0.4299 2.534 0.3946 2.704 0.3698 2.847 0.3512 CL=R UCL =D,R LCL=D,R UCL=+AR CL=F LCL=x-A₂R Factors for Control Limits D₁ D₁ 3.267 2.574 2.282 2.114 2.004 1.924 1.864 0.853 0 3.686 0 4.358 0 4.698 0 0.888 0 0.880 0 0.864 O 0.848 0 4.918 0 5.078 0 0.833 0.204 5.204 0.076 0.820 0.388 5.306 0.136 A brake spare part producer has had some quality problems in one of its operations for a while. To detect and solve the problems, initially it is decided to apply a statistical control chart for that operation because of quality concerns. Assume that the engineer has decided to use X-R control chart for the collected data given below. Based on these, compute the control limits for the control chart/s for the samples with the size of 4, and draw the graphs. State whether the process is under control or not. Observations in Sample, n A 2 3 4 5 6 7 samples ol 1 0.59 2 0.56 3 0.64 4 0.56 5 0.59 6 0.7 Factors for Control Limits Factors for Center Line Observations 02 0.52 0.62 0.64 0.62 0.6 0.56 03 0.53 0.63 0.62 0.58 0.52 0.81 Factors for Control Limits B₁ A₁ Ve 3.267 O 2.568 O 2.121 1.880 2.659 0.7979 1.2533 1.732 1.023 1.954 0.8862 1.1284 0 1.500 0.729 1.628 0.9213 1.0854 0 2.266 ( 2.088 1.342 0.577 1.427 0.9400 1.0638 0 2.089 ( 1.964 1.225 0.483 1.287 0.9515 1.0510 0.030 1.970 0.029 1.874 1.134 0.419 1.182 0.9594 1.0423 0.118 1.882 0.113 1.806 1.061 0.373 1.099 0.9650 1.0363 0.185 1.815 0.179 1.751 04 0.56 0.58 0.56 0.54 0.58 0.75 Factors for Center Line Vldy 1.128 0.8865 1.693 0.5907 2.059 0.4857 2.326 0.4299 2.534 0.3946 2.704 0.3698 2.847 0.3512 CL=R UCL =D,R LCL=D,R UCL=+AR CL=F LCL=x-A₂R Factors for Control Limits D₁ D₁ 3.267 2.574 2.282 2.114 2.004 1.924 1.864 0.853 0 3.686 0 4.358 0 4.698 0 0.888 0 0.880 0 0.864 O 0.848 0 4.918 0 5.078 0 0.833 0.204 5.204 0.076 0.820 0.388 5.306 0.136
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