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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 controllimits). (14 points) 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 1 1010 991 985 986 2 995 996 1009 994 3 990 1003 1015 1008 4 1015 1020 1009 998 5 1013 1019 1005 993 6 994 1001 994 1005 7 989 992 982 1020 8 1001 986 996 996 9 1006 989 1005 1007 10 992 1007 1006 979 11 996 1006 997 989 12 1019 996 991 1011 13 981 991 989 1003 14 999 993 988 984 15 1013 1002 1005 992