Question

You are in charge of quality control on a line which fills bottles of soda. The desired gross weight for a 2 liter bottle of soda is 2,160 grams. At the end of each shift you select 12 bottles at random and weigh them. After one month, the overall average weight of all bottles sampled is 2,162 grams. The average range of weights within a sample for all the samples of 12 is 5 grams. You are preparing x-bar and R control charts for the filling line. Give the target value, UCL and LCL for the x-bar and R charts.