Table 5.11 Factors for Calculating Three-Sigma Limits for the Chart and R-Chart Size of Sample (n) Factor for UCL and LCL for x-bar-Charts A2. Factors for LCL for R-Charts D3 Factors for UCL for R-Charts D4 2 1.88 k 0 3.267 3 1.023 0 2.575 4 0.729 0 2.282 5 0.577 0 2.115 6 0.483 0 2.004 7 0.419 0.076 1.924 8 0.373 1.864 0.136 9 0.337 0.184 1.816 10 0.308 0.223 1.777 Source: 1950 ASTM Manual on Quality Control of Materials, copyright American Society for Testing Materials. Reprinted with permission. Thermostats are subjected to rigorous testing before they are shipped to air conditioning technicians around the world. Results from the last five samples are shown in the table. Calculate control limits for a chart that will monitor performance to target. Observation # Sample 2 Sample 3 Sample 4 Sample 5 Sample 1 104 1 100.1 101.1 102 102.7 2 106.4 104.4 100.4 105.9 105.4 3 101.8 103.6 103 104.6 106.1 4 105.6 101.4 101 102.1 102.5 5 100.6 100.7 104.9 107 102 A/What is the Central Line of the control chart (x)? [Select] B) What is the value of the first point plotted on the x-bar chart? [Select] C) What is the upper control limit for the x-bar chart with three sigma limits is: [Select]