The data below are X? and R values for 12 samples (subgroups) of size n=4. They were taken from a process producing bearings. The measurements are made on the inside diameter of the bearing. (Use 2 decimal places.) A – Calculate the UCL and LCL for X? and R charts. B - Draw the X? chart and R chart and place X? and R values (points) on these charts. C - Does the process seem to be in control? Why or why not? D - If necessary, revise the control limits. Calculate the revised UCL and LCL values for X? and R charts and draw the revised charts. Subgroup Number X? Range 1 32 3 2 33 4 3 32 2 4 33 3 5 32 4 6 33 2 7 34 3 8 32 4 9 32 2 10 32 1 11 33 2 12 38 1
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Step 1
Let X_bar be the average of the X values and R_bar be the average of the R values. X_bar = (sum of X values) / 12 R_bar = (sum of R values) / 12 Show more…
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