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# Control limits for x bar and R chart

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1. The overall average on a process you are attempting to monitor is 49 units. The process standard deviation is 1.52. Determine the upper and lower control limits for a mean chart, if you choose to use a sample size of 5. Set z=3.

UCLx = ____________
LCLx = ____________

2. Thirty-five samples of size 7 each were taken from a fertilizer-bag-filling machine. The results were: Overall mean = 66.25 lb.; Average range = 1.69 lb. Show work if possible.

Determine the upper and lower control limits of the X bar-chart with z=3 .

UCL=____________
LCL=____________
Determine the upper and lower control limits of the R-chart with z=3 .

UCL=____________
LCL=____________

https://brainmass.com/math/fractions-and-percentages/control-limits-for-x-bar-and-r-chart-188392

#### Solution Summary

This posting contains solution to following problems on calculating control limits for x bar and R charts.

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Find the upper and lower control limits for an X-bar chart and R-chart for the width of a chair seat when sample grand mean (based on 30 samples of 6 observations each) is 27 inches and the average range is 0.35 inches.