//Compute the control limits //page no 109 clear clc; //(a) X1=15350; R1 = 411.4; SR = 411.4 K = 25; n = 4; X2=X1/K; R2=R1/K; A2 = 0.73; d2 = 2.059; D3 = 0.0; D4 = 2.28; USL = X2 + A2*R1; LCL = X2 - A2*R1; CL=X2; //Control limits for R-chart UCL1 = D4*R1; LCL1 = D3*R1; CL1 = R1; mprintf("\UCL = %.2f ",UCL1); mprintf("\LCL = %.2f ",LCL1); mprintf("\CL = %.2f ",CL1); //(b) Specification limits are USL = 625; LCL = 595; sd=R1/d2; UNTL = X1 + 3*sd; LNTL = X1 - 3*sd; PC=6*sd; mprintf("\Process capability = %.2f ",PC); Z=(595-614)/sd; mprintf("\nPercentage of rejection = %.2f ",Z); mprintf("\n a) Probability from table 0.947 = 91.47 percent "); mprintf("\n Rework = 8.53 percent "); Z1=(625-618.97)/sd; mprintf("\nPercentage of rejection = %.2f ",Z1); mprintf("\n Probability from table 0.7734 = 77.34 percent "); mprintf("\n Rework = 22.66 percent ");