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the X and R chatls = 4 taken from de on the fill a process illing bags of fertil

ID: 3360119 • Letter: T

Question

the X and R chatls = 4 taken from de on the fill a process illing bags of fertilizer. The measurements are made o weight of the bags in pounds. 3·The data below are X and R values for 25 samples of size n- Subgroup Number X Range Subgroup Range Number X 50.3 49.6 50.8 50.9 49.8 50.5 50.2 49.9 50.0 50.1 50.2 50.5 50.4 50.8 50.0 49.9 50.4 50.5 50.7 50.2 49.9 50.1 49.5 50.0 50.3 14 15 0.73 0.75 0.79 0.74 0.72 0.73 0.71 0.70 0.65 0.67 0.65 0.67 0.68 0.65 0.66 0.67 0.68 0.70 0.65 0.60 0.64 0.60 0.62 0.60 17 18 19 20 21 23 24 10 12 13 Set up the X and R charts on this process. Interpret the charts. Does the process seem to be in control? If necessary, assume assignable causes and revise the trial control limits. If the average fill of the bags is to be 50.0 pounds, how does this process compare?

Explanation / Answer

Control chart of R chart and limits are

UCL = D4*R-bar = 1.5481

CL = R-bar = 0.678

LCL = D3*R-bar = 0

Control chart and Control limits are

UCL = X-bar + A2 * R-bar = 50.715

CL = X-bar = 50.22

LCL = X-bar - A2 * R-bar = 49.725

Process is not in control