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.The estimate of the process standard deviation is ________________________ .
A)2.75 ml
B)2.44 ml
C)1.88 ml
D)1.34 ml
E)None of the above.

Question

Quizplus · Accepted Answer

The estimate of the process standard deviation can be calculated using the average range (R-bar) divided by the d2 factor, which is a statistical constant dependent on the sample size. For a sample size of 4, d2 is approximately 2.059. Thus, the process standard deviation estimate is 2.75 ml / 2.059 = 1.34 ml.

An Automatic Filling Process Is Used to Dispense Hand Sanitizer