You’ve just been promoted to a management position at WorcesterCorset Candies Company. Congrats! Immediately, you get a call thatFinance noticed a cost variance in your department. It appears thatyou are consuming too few ingredients for your scheduled output. Abox of Special Mixed Corset Candies is supposed to be 140 ounces,and your annual bonus is paid on how close you manage yourdepartment’s per/unit costs. To begin analyzing the process, youask your fill machine operator to record the weights of 9 candycartons each hour for the next 11 hours. (HINT: Save yourself a lotof time and do this in Excel). Are all points on the R-chart arewithin the control limits? Are all points on the X-bar chart arewithin the control limits? So, manager, is your candy makingprocess considered in control?
Data provided
Batch | Weight 1 | Weight 2 | Weight 3 | Weight 4 | Weight 5 | Weight 6 | Weight 7 | Weight 8 | Weight 9 |
1 | 147 | 136 | 138 | 138 | 131 | 130 | 134 | 148 | 144 |
2 | 148 | 137 | 149 | 134 | 134 | 143 | 144 | 150 | 140 |
3 | 138 | 141 | 130 | 140 | 135 | 132 | 138 | 134 | 133 |
4 | 141 | 143 | 149 | 133 | 143 | 149 | 132 | 135 | 130 |
5 | 135 | 141 | 140 | 139 | 135 | 150 | 136 | 130 | 135 |
6 | 133 | 146 | 142 | 136 | 150 | 140 | 144 | 147 | 150 |
7 | 138 | 137 | 145 | 138 | 134 | 149 | 130 | 131 | 147 |
8 | 144 | 137 | 133 | 149 | 131 | 141 | 143 | 149 | 146 |
9 | 145 | 134 | 149 | 140 | 142 | 130 | 150 | 142 | 148 |
10 | 135 | 146 | 130 | 141 | 135 | 137 | 141 | 140 | 150 |
11 | 149 | 142 | 149 | 143 | 142 | 137 | 134 | 139 | 140 |