An automatic filling process is used to dispense hand sanitizer into small purse size bottles. The target weight is 75 ml. The company has initiated control charting to stabilize and improve the automatic filling process. For each of twenty-five samples consisting of four bottles, the contents were measured and the mean weight and range were determined. The average of the means across all samples was found to be 72.5 ml. and the average range was 2.75 ml.
a. Estimate the process standard deviation.
b. Calculate the centreline and control limits for the R chart.
c. Calculate the centreline and control limits for the x-bar chart.

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The Answer of An automatic filling process is used to dispense hand sanitizer into small purse size bottles. The target weight is 75 ml. The company has initiated control charting to stabilize and improve the automatic filling process. For each of twenty-five samples consisting of four bottles, the contents were measured and the mean weight and range were determined. The average of the means across all samples was found to be 72.5 ml. and the average range was 2.75 ml.
a. Estimate the process standard deviation.
b. Calculate the centreline and control limits for the R chart.
c. Calculate the centreline and control limits for the x-bar chart.

An Automatic Filling Process Is Used to Dispense Hand Sanitizer