b. Using the factors from table below determine the lower and upper bounds for range chart and draw the control chart by pointing the average of range for each inspection on the chart. (10 points) TABLE 10.3 FACTORS FOR R CHARTS Number of Observations in Sample, Factors for three-sigma control limits for X and R. charts Factor for Chart, n A Source: Adapted from Eugene Grant and Richard Leavenwonk, Stotical Quality Control Seed Copyright 1980 McGraw H Companies, Inc. Used with permission 2 1.88 1.02 0.73 0.58 0,40 0.42 8 0.37 9 0.34 10 0.31 11 0.29 12 0.27 0.25 0.24 0.22 0.21 0.20 0.19 0.19 0.18 13 14 15 16 17 18 19 20 Lower Control Limit, D 0 0 0 0 0 0.08 0.14 0.18 0.22 0.26 0.28 0.31 0.33 0.35 0.36 0.38 0.39 0.40 0.41 Upper Control Limit, D 3.27 2.57 2.28 2.11 2.00 1.92 1.86 1.82 1.78 1.74 1.72 1.69 1.67 1.65 1.64 1.62 1.61 1.60 1.59 b. Using the factors from table below determine the lower and upper bounds for range chart and draw the control chart by pointing the average of range for each inspection on the chart. (10 points) TABLE 10.3 FACTORS FOR R CHARTS Number of Observations in Sample, Factors for three-sigma control limits for X and R. charts Factor for Chart, n A Source: Adapted from Eugene Grant and Richard Leavenwonk, Stotical Quality Control Seed Copyright 1980 McGraw H Companies, Inc. Used with permission 2 1.88 1.02 0.73 0.58 0,40 0.42 8 0.37 9 0.34 10 0.31 11 0.29 12 0.27 0.25 0.24 0.22 0.21 0.20 0.19 0.19 0.18 13 14 15 16 17 18 19 20 Lower Control Limit, D 0 0 0 0 0 0.08 0.14 0.18 0.22 0.26 0.28 0.31 0.33 0.35 0.36 0.38 0.39 0.40 0.41 Upper Control Limit, D 3.27 2.57 2.28 2.11 2.00 1.92 1.86 1.82 1.78 1.74 1.72 1.69 1.67 1.65 1.64 1.62 1.61 1.60 1.59