I have not done statistics in 4 years and I am having difficulty understanding where a number comes from:
A soda company bottles soft drinks into 16oz bottles. The overall process average is 16.1oz, which was found by taking a large number of samples, with each sample consisting of 5 bottles. The average range of the process sampleis .25oz. Using 3σ control limits, calculate the c-bar chart upper limit and lower limit control limits for the process.
From this I got:
mean = 16.1
range = .25
I know for the upper control I use:
UCL=Mean + (A)(Range)
UCL=16.1+(.577)(.25)
resulting in 16.244oz. which means the sample is in control.
What I do not understand is what A stands for or how I got it. It has something to do with sigma which I am just missing entirely.