Part One: Problem Statement A local thobe manufacturing facility works for 16-hours a day in two different shifts (8-hours) per shift. The facility produces different product. A quality engineer has recently joined the company, and he was assigned for item number 512. This item is produced in mass quantities. The facility produces on average 90 thobes per day of this item. The following table shows the multiple subgroups of production of this item using multiple observations. The data shows the length of the item from shoulder to ankle joint. For this item, ideally the length should be 140 cm, and the customer can accept a tolerance of 2 cm. | | | | | |- 143 151 151 142 TTTTT Observations Subgroups X1 X2 X3 X4 X5 X6 1 138 153 138 142 146 150 2 146 147 150 152 151 147 3 142 150 137 146 140 4 148 147 150 147 146 5 151 144 150 146 153 6 138 140 150 142 140 7 146 143 146 147 153 144 8 140 146 137 153 148 149 9 138 153 139 140 150 148 10 152 152 145 143 147 137 11 139 140 151 138 137 145 12 148 153 144 149 151 149 13 142 143 140 150 147 137 14 139 146 140 143 153 152 15 145 145 139 153 149 146 16 153 147 146 147 153 146 17 146 148 137 148 141 147 18 138 146 141 142 137 150 19 147 143 145 138 150 144 20 147 137 144 141 137 141 21 137 145 151 141 22 142 145 152 147 152 23 138 140 149 139 140 150 24 149 146 152 138 143 139 25 151 147 145 142 143 144 26 150 143 140 153 148 151 1. Analyze the data using the appropriate control chart. 2. Determine the process capability and apply capability analysis by calculating Cp and Cpk 3. Do you see a variability of the data? 4. How can you improve the process? 5. What conclusions you can draw from the results? 6. As an IE, what other recommendations do you have for the manufacturing facility? 152 148 149