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+//Compute the control limits
+//page no 105
+clear
+clc;
+K = 25;
+n = 5;
+X1 = 357.5;
+R1 = 8.8;
+USL=14.8;
+LSL= 14.0;
+X2=X1/K;
+R2=R1/K;
+A2 = 0.58;
+d2 = 2.326;
+d3 = 0.0;
+D4 = 2.11;
+//Control limits for R-chart
+UCLR = D4*R2;
+LCL = d3*R2;
+CL = R2;
+//(a) Control limits for X -chart.
+UCL = X2 + A2*R2;
+mprintf("\nControl limit for X – chart\n ucl = %.2f ",UCL);
+LCL = X2 - A2*R2;
+mprintf("\nControl limit for X – chart\n lcl = %.2f ",LCL);
+CL = X2
+mprintf("\nControl limit for X – chart\n cl = %.2f ",CL);
+
+//(b) Since the process is in a state of statistical control
+X21=14.3;
+sd=R2/d2;
+pc=sd*6;
+mprintf("\nProcess capability = %.2f ",pc);
+
+//(c)
+mprintf("\nSince 6σ1 > (USL – LSL), the process is not capable of meeting the specification limits. i.e., 0.907 > 0.8. Rejections are inevitable");
+UNTL = X21 + 3*sd;
+LNTL = X21 - 3*sd;
+CL = X21;
+X=14;
+Z=(X-X21)/sd;
+p = 0.0239*100    //=Probability from tables
+mprintf("\nPercentage of rejection = %.2f ",p);
+//(e) To minimise the percentage of rejection the possible ways are : change the process
+//centre to the specification mean i.e., 14.3 to 14.4. The calculations are shown
+//below.
+X21=14.4;           // To minimise the percentage of rejection
+Z=(X-X21)/sd;
+p = 0.0041*100    //=Probability from tables
+mprintf("\nPercentage of rejection = %.2f ",p);