Question 2 (20 marks) At the end of a processing line in an organic flour mill, bags of flour are checked to establish the weight of the contents. The design specification for the weight the filling machine places in the bags is 1000 grams (1 kg) +/- 15 grams (also referred to as tolerance limits). These specifications have been set to ensure there is a very low probability of having the actual contents in the bags less than the value stated on the label of 1000 grams (1 kg). A new bag filling machine has just been installed so the production manager has decided to construct new control charts to monitor the production process. The sample size used is 4; i.e. each sample includes measuring the weight of 4 bags of flour. The data is provided in an Excel file on ACORN (and on the reverse side of this sheet). (a) Based on the 15 samples tabulated below, provide the complete analysis required to construct statistical process control charts for the process (using three-sigma control limits). (14 points) (b) is the process capable of meeting the design specifications of 1000 grams +/- 15 grams? Explain why or why not. (6 points) Sample Readings in grams 12 1010 9912 985e 986 20 995 9962 10092 994 32 990 10032 10152 10084 10152 1020 10092 9982 52 10132 10192 10052 9932 62 9942 10012 9942 10052 72 9892 9922 9822 1020 8 1001 9862 996 996 92 1006 9892 10052 10072 102 992 10072 1006 9792 112 996 10062 9972 9892 12 10192 9962 9912 10112 132 981 991 9892 10032 142 9992 9932 9882 9842 152 10132 10022 10052 9922