Consider an experiment in which three operators were asked to make two measurements on each of...
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Consider an experiment in which three operators were asked to make two measurements on each of 10 parts. The results are shown below: Operator 2 Operator 3 O Measurements Mean Range C-1 C-2 XC Rc 31.99 32.23 32.11 0.24 30.15 30.15 30.15 0.0 0.32 0.24 Measurements Mean Range B-1 B-2 XB RB 32.55 32.07 32.31 0.48 30.63 30.39 30.51 0.24 29.83 29.67 29.75 0.16 29.51 29.83 29.67 29.83 29.35 29.59 0.48 29.27 29.51 29.39 30.07 29.67 29.87 0.4 29.83 29.27 29.55 30.87 30.87 30.87 0.0 30.31 30.31 30.31 29.03 28.71 28.87 0.32 28.23 28.47 28.35 0.24 30.07 29.91 29.99 0.16 29.67 29.83 29.75 0.16 28.95 28.79 28.87 0.16 28.55 28.23 28.39 0.32 29.83 29.59 29.71 0.24 29.59 29.51 29.55 0.08 XB = 30.034, RB = 0.264 Xc = 29.722, Rc = 0.216 0.56 0.0 Part Operator 1 Mean Range RA A-1 1 2 3 4 A-2 31.83 31.67 31.75 0.16 30.31 30.47 30.39 0.16 29.51 29.83 29.67 0.32 29.43 29.27 29.35 0.16 5 29.91 30.23 30.07 0.32 30.47 30.31 30.39 0.16 28.79 28.79 28.79 0.0 29.99 29.67 29.83 0.32 28.55 28.63 28.59 0.08 29.35 29.11 29.23 0.24 A = 29.806, RA = 0.192 6 7 8 9 10 Measurements A. Estimate gage reproducibility and repeatability. (6 points) B. Suppose the total observed variance (o 2total) is 0.947. Estimate the variability of the product. (6 points) C. In order to make the P/T ratio not exceed 0.1, what is the minimal width of the specification limits? (4 points) Edit View Insert Format Tools Table 12pt Paragraph R T U A T Consider an experiment in which three operators were asked to make two measurements on each of 10 parts. The results are shown below: Operator 2 Operator 3 O Measurements Mean Range C-1 C-2 XC Rc 31.99 32.23 32.11 0.24 30.15 30.15 30.15 0.0 0.32 0.24 Measurements Mean Range B-1 B-2 XB RB 32.55 32.07 32.31 0.48 30.63 30.39 30.51 0.24 29.83 29.67 29.75 0.16 29.51 29.83 29.67 29.83 29.35 29.59 0.48 29.27 29.51 29.39 30.07 29.67 29.87 0.4 29.83 29.27 29.55 30.87 30.87 30.87 0.0 30.31 30.31 30.31 29.03 28.71 28.87 0.32 28.23 28.47 28.35 0.24 30.07 29.91 29.99 0.16 29.67 29.83 29.75 0.16 28.95 28.79 28.87 0.16 28.55 28.23 28.39 0.32 29.83 29.59 29.71 0.24 29.59 29.51 29.55 0.08 XB = 30.034, RB = 0.264 Xc = 29.722, Rc = 0.216 0.56 0.0 Part Operator 1 Mean Range RA A-1 1 2 3 4 A-2 31.83 31.67 31.75 0.16 30.31 30.47 30.39 0.16 29.51 29.83 29.67 0.32 29.43 29.27 29.35 0.16 5 29.91 30.23 30.07 0.32 30.47 30.31 30.39 0.16 28.79 28.79 28.79 0.0 29.99 29.67 29.83 0.32 28.55 28.63 28.59 0.08 29.35 29.11 29.23 0.24 A = 29.806, RA = 0.192 6 7 8 9 10 Measurements A. Estimate gage reproducibility and repeatability. (6 points) B. Suppose the total observed variance (o 2total) is 0.947. Estimate the variability of the product. (6 points) C. In order to make the P/T ratio not exceed 0.1, what is the minimal width of the specification limits? (4 points) Edit View Insert Format Tools Table 12pt Paragraph R T U A T
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A To estimate gage reproducibility and repeatability we can use the analysis of variance ANOVA metho... View the full answer
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