Question: Factors for Calculating Three-Sigma Limits for the Chart and R-Chart Factor for Size of Factor for UCL and LCL for Factor for LCL for R-Charts

Factors for Calculating Three-Sigma Limits for

Factors for Calculating Three-Sigma Limits for

Factors for Calculating Three-Sigma Limits for the Chart and R-Chart Factor for Size of Factor for UCL and LCL for Factor for LCL for R-Charts UCL for Sample x-bar-Charts R-Charts (n) A2 D3 D4 1.880 0 3.267 1.023 0 2.575 0.729 0 2.282 0.577 0 2.115 0.483 0 2.004 0.419 0.076 1.924 0.373 0.136 1.864 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. Create control charts that will fully monitor the process and indicate the result of X-bar and R chart analysis. Unit # Sample 1 Sample 2 Sample 3 Sample 4 Sample 5 1 73.5 70.8 722 73.6 71.0 2 71.3 71.0 73.1 727 722 3 70.0 726 71.9 724 73.3 4 71.1 70.6 70.3 74.2 73.6 5 70.8 70.7 70.7 73.5 71.1 23456789 A) x bar and r chart are both in control OB) x bar and r chart are both out of control O C) x bar chart is in control but r chart is out of control D) x bar chart is out of control but r chart is in control

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