Copper wires are coated with a thin plastic coating. and the thickness of the coating (in mils) i...
Copper wires are coated with a thin plastic coating. and the thickness of the coating (in mils) is measured. The data from the last 30 samples are presented in table E12. The means are X-150.075, R-6.97, and ธิ-3.082 a. Compute the 3ơ limit for the R chart. Is the variance out of control at any point? If so, Samples of four wires are taken every hour, 1. delete the samples that are out of control and recompute X and R Compute the 3σ limits for the X chart. On the basis of the 3σ limits, is the process mean in control? If not, at what point is it first detected to be out of control? On the basis of the Western Electric rules, is the process mean in control? If not, when is it first detected to be out of control? b. c. TABLE E12 Data for Exercise 12 Sample Values Sample 150.125 148.850 150.200 150.475 49.275 150.275 147.875 147.450 148.100 147.825 50.925 51.900 149.325 151.275 151.200 150.900 151.625 152.700 151.100 147.575 149.550 151.175 150.200 147.950 150.525 151.225 151.350 47.825 153.300 150.175 146.0 147.4 151.9 155.2 147.1 147.5 151.4 149.4 148.7 148.4 149.6 154.1 51.3 150.0 152.4 148.2 146.4 147.5 152.9 150.3 150.2 142.9 152.5 155.5 47.8 148.3 145.7 149.7 137.1 156.6 147.2 148.9 151.1 148.1 145.6 147.6 151.3 151.3 142.5 146.2 51.3 153.5 150.2 148.7 151.9 152.2 149.3 154.2 52.8 149.1 148.5 146.9 52.9 149.9 151.9 150.4 49.0 149.9 153.1 152.8 53.9 150.8 153.9 145.0 50.4 151.8 151.3 153.0 57.2 152.6 148.4 152.6 152.7 156.2 146.8 148.7 50.2 148.2 149.8 142. 51.0 151.7 148.5 147.0 43.8 154.5 154.8 151.6 43.0 156.4 149.2 152.2 48.8 147.7 147.1 148.2 53.8 145.4 149.5 153.4 151.6 149.3 155.0 149.0 49.4 151.4 154.6 150.0 49.8 149.0 146.8 145.7 55.8 152.4 150.2 154.8 153.9 145.7 150.7 150.4 1.97 2.65 4 2.92 5.37 8.02 2.27 4.29 2.02 2.01 2.50 1.38 2.06 19.5 10 12 13 15 3.59 4.20 3.75 2.19 18 19 21 5.64 0.72 3.93 2.77 2.32 13.4 24 2.51 3.38 2. Repeat Exercise 1, using the S chart in place of the R chart.
Copper wires are coated with a thin plastic coating. and the thickness of the coating (in mils) is measured. The data from the last 30 samples are presented in table E12. The means are X-150.075, R-6.97, and ธิ-3.082 a. Compute the 3ơ limit for the R chart. Is the variance out of control at any point? If so, Samples of four wires are taken every hour, 1. delete the samples that are out of control and recompute X and R Compute the 3σ limits for the X chart. On the basis of the 3σ limits, is the process mean in control? If not, at what point is it first detected to be out of control? On the basis of the Western Electric rules, is the process mean in control? If not, when is it first detected to be out of control? b. c. TABLE E12 Data for Exercise 12 Sample Values Sample 150.125 148.850 150.200 150.475 49.275 150.275 147.875 147.450 148.100 147.825 50.925 51.900 149.325 151.275 151.200 150.900 151.625 152.700 151.100 147.575 149.550 151.175 150.200 147.950 150.525 151.225 151.350 47.825 153.300 150.175 146.0 147.4 151.9 155.2 147.1 147.5 151.4 149.4 148.7 148.4 149.6 154.1 51.3 150.0 152.4 148.2 146.4 147.5 152.9 150.3 150.2 142.9 152.5 155.5 47.8 148.3 145.7 149.7 137.1 156.6 147.2 148.9 151.1 148.1 145.6 147.6 151.3 151.3 142.5 146.2 51.3 153.5 150.2 148.7 151.9 152.2 149.3 154.2 52.8 149.1 148.5 146.9 52.9 149.9 151.9 150.4 49.0 149.9 153.1 152.8 53.9 150.8 153.9 145.0 50.4 151.8 151.3 153.0 57.2 152.6 148.4 152.6 152.7 156.2 146.8 148.7 50.2 148.2 149.8 142. 51.0 151.7 148.5 147.0 43.8 154.5 154.8 151.6 43.0 156.4 149.2 152.2 48.8 147.7 147.1 148.2 53.8 145.4 149.5 153.4 151.6 149.3 155.0 149.0 49.4 151.4 154.6 150.0 49.8 149.0 146.8 145.7 55.8 152.4 150.2 154.8 153.9 145.7 150.7 150.4 1.97 2.65 4 2.92 5.37 8.02 2.27 4.29 2.02 2.01 2.50 1.38 2.06 19.5 10 12 13 15 3.59 4.20 3.75 2.19 18 19 21 5.64 0.72 3.93 2.77 2.32 13.4 24 2.51 3.38 2. Repeat Exercise 1, using the S chart in place of the R chart.