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Processing times for new accounts at a bank are shown in the following table. Five samples of four observations each have been taken. Use the sample data in conjunction with the Table of Constants for Control Charts (provided) to construct upper and lower control limits for both a mean chart and a range chart. Do the results suggest that the process is in control? Total Sample 1 10.2 9.9 9.8 10.1 40.0 Sample 2 10.3 9.8 9.9 10.4 40.4 Sample 3 9.7 9.9 9.9 10.1 39.6 Sample 4 9.9 10.3 10.1 10.5 40.8 Sample 5 9.8 10.2 10.3 9.7 40.0

Processing times for new accounts at a bank are shown in the following table. Five samples of four observations each have been taken. Use the sample data in conjunction with the Table of Constants for Control Charts (provided) to construct upper and lower control limits for both a mean chart and a range chart. Do the results suggest that the process is in control? Total Sample 1 10.2 9.9 9.8 10.1 40.0 Sample 2 10.3 9.8 9.9 10.4 40.4 Sample 3 9.7 9.9 9.9 10.1 39.6 Sample 4 9.9 10.3 10.1 10.5 40.8 Sample 5 9.8 10.2 10.3 9.7 40.0

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Processing times for new accounts at a bank are shown in the following table. Five samples of four observations each have been taken. Use the sample data in conjunction with the Table of Constants for Control Charts (provided) to construct upper and lower control limits for both a mean chart and a range chart. Do the results suggest that the process is in control? Total Sample 1 10.2 9.9 9.8 10.1 40.0 Sample 2 10.3 9.8 9.9 10.4 40.4 Sample 3 9.7 9.9 9.9 10.1 39.6 Sample 4 9.9 10.3 10.1 10.5 40.8 Sample 5 9.8 10.2 10.3 9.7 40.0
Transcribed Image Text:Processing times for new accounts at a bank are shown in the following table. Five samples of four observations each have been taken. Use the sample data in conjunction with the Table of Constants for Control Charts (provided) to construct upper and lower control limits for both a mean chart and a range chart. Do the results suggest that the process is in control? Total Sample 1 10.2 9.9 9.8 10.1 40.0 Sample 2 10.3 9.8 9.9 10.4 40.4 Sample 3 9.7 9.9 9.9 10.1 39.6 Sample 4 9.9 10.3 10.1 10.5 40.8 Sample 5 9.8 10.2 10.3 9.7 40.0
Institute of Quality & Reliability Subgroup size (n) 2 3 4 5 6 7 8 9 10 15 25 Table 8A - Variable Data X bar and R Charts Chart for Averages Control Limits Factor Tables of Constants for Control charts ref: AIAG manual for SPC X bar and s charts X bar and R Charts X bar and s Charts Chart for Ranges (R) A₂ d₂ 1.880 1.128 1.023 1.693 0.729 2.059 0.577 2.326 0.483 2.534 0.419 2.704 0.076 0.373 2.847 0.136 0.337 2.970 0.184 0.308 3.078 0.223 3.472 0.153 3.931 Divisors to Estimate Factors for Control Limits Ox = X D3 CLX = X CL S = S - - - Centerline CLx = CLR = R 0.223 0.347 0.459 Chart for Averages Chart for Standard Deviation (s) Divisors to Control Limits Factor D4 A3 3.267 2.659 2.574 1.954 2.282 1.628 2.114 1.427 2.004 1.287 1.924 1.864 1.816 1.777 1.653 1.541 estimate Factors for Control ox Limits C4 B4 0.7979 3.267 0.8862 2.568 0.9213 2.266 0.9400 2.089 0.9515 0.030 1.970 1.182 0.9594 0.118 1.882 1.099 0.9650 0.185 1.815 1.032 0.9693 0.239 1.761 0.975 0.9727 0.284 0.789 0.9823 0.428 0.606 0.9896 0.565 Control Limits UCL = UCLR=D&R UCL = X + A₂S UCL, = BAS =X+A₂R B3 LCL = X - A₂ R X LCLR = D₂R LCLX = X - A₂S LCL, = B35 1.716 1.572 1.435 6 x R d2 S C4
Transcribed Image Text:Institute of Quality & Reliability Subgroup size (n) 2 3 4 5 6 7 8 9 10 15 25 Table 8A - Variable Data X bar and R Charts Chart for Averages Control Limits Factor Tables of Constants for Control charts ref: AIAG manual for SPC X bar and s charts X bar and R Charts X bar and s Charts Chart for Ranges (R) A₂ d₂ 1.880 1.128 1.023 1.693 0.729 2.059 0.577 2.326 0.483 2.534 0.419 2.704 0.076 0.373 2.847 0.136 0.337 2.970 0.184 0.308 3.078 0.223 3.472 0.153 3.931 Divisors to Estimate Factors for Control Limits Ox = X D3 CLX = X CL S = S - - - Centerline CLx = CLR = R 0.223 0.347 0.459 Chart for Averages Chart for Standard Deviation (s) Divisors to Control Limits Factor D4 A3 3.267 2.659 2.574 1.954 2.282 1.628 2.114 1.427 2.004 1.287 1.924 1.864 1.816 1.777 1.653 1.541 estimate Factors for Control ox Limits C4 B4 0.7979 3.267 0.8862 2.568 0.9213 2.266 0.9400 2.089 0.9515 0.030 1.970 1.182 0.9594 0.118 1.882 1.099 0.9650 0.185 1.815 1.032 0.9693 0.239 1.761 0.975 0.9727 0.284 0.789 0.9823 0.428 0.606 0.9896 0.565 Control Limits UCL = UCLR=D&R UCL = X + A₂S UCL, = BAS =X+A₂R B3 LCL = X - A₂ R X LCLR = D₂R LCLX = X - A₂S LCL, = B35 1.716 1.572 1.435 6 x R d2 S C4
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