Factors for Calculating Three-Sigma Limits for the Chart and R-Chart Factor for Factors Factors Size of UCL and for LCL for UCL LCL for X- for for Sample (n) bar- R-Charts R-Charts Charts A2 D3 D4 2 1.88 1.023 0 0 3.267 2.575 3 4 0.729 0 2.282 5 0 0.577 0.483 2.115 2.004 6 0 7 0.076 8 0.419 0.373 0.337 0.308 1.924 1.864 1.816 1.777 0.136 0.184 0.223 9 10 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 nerformance to Sample Observation Observation Observation Observ # 1 2 3 4 1 0.486 0.499 0.493 0.511 2 0.499 0.506 0.516 0.494 3 0.496 0.500 0.515 0.488 4 0.495 0.506 0.483 0.487 0.472 0.502 0.526 0.469 6 0.473 0.495 0.507 0.493 3 5 7 0.495 0.512 0.49 0.471 8 0.501 0.498 0.474 0.506 9 0.525 0.497 0.495 0.517 0.501 0.505 10 0.516 0.511 A)What is the Central Line of the control chart (x)? [Select] B) What is the Average Range R? Select) C) What is the upper control limit of your R- chart? [ Select) 9 0.497 0.495 0.501 0.505 0.517 0.516 10 A)What is the Central Line of the control chart (x)? .621 B) What is the Average Range R? .032 C) What is the upper control limit of your R- chart? [Select ] Done [ Select ] .498 ,073 .501 032