1. Quality In the production of bank notes samples are taken at regular intervals of 1...
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1. Quality In the production of bank notes samples are taken at regular intervals of 1 hour and a number of measurements made on each note. The following table shows the width, mm, of the top margin in eight samples each of size 4. The target value is 9 mm. Sample 1 2 3 T 1 9.0 8.1 8.7 7.5 2 10.4 9.0 7.9 7.2 3 8.2 9.2 7.9 7.7 Time (Hours) 4 5 7.9 8.2 7.7 9.0 7.7 9.3 7.4 8.6 6 8.4 8.1 8.4 8.7 7 7.4 8.0 8.9 9.8 8 7.6 8.5 8.1 8.8 REQUIRED: Using a standard deviation for the process as 0.83 a) Determine the upper control limit and the lower control limit if the process is in control 99.7% of the time. (4 Marks) (4 Marks) (4 Marks) (4 Marks) a management (4 Marks) b) Develop an X-bar chart for the process c) Determine the process capability ratio Cp for the process d) Determine the process capability index Cpk for the process e) The mean width in the 10th hour was determined to be 17mm. Provide report on the production between the first hour and the 10th hour. 1. Quality In the production of bank notes samples are taken at regular intervals of 1 hour and a number of measurements made on each note. The following table shows the width, mm, of the top margin in eight samples each of size 4. The target value is 9 mm. Sample 1 2 3 T 1 9.0 8.1 8.7 7.5 2 10.4 9.0 7.9 7.2 3 8.2 9.2 7.9 7.7 Time (Hours) 4 5 7.9 8.2 7.7 9.0 7.7 9.3 7.4 8.6 6 8.4 8.1 8.4 8.7 7 7.4 8.0 8.9 9.8 8 7.6 8.5 8.1 8.8 REQUIRED: Using a standard deviation for the process as 0.83 a) Determine the upper control limit and the lower control limit if the process is in control 99.7% of the time. (4 Marks) (4 Marks) (4 Marks) (4 Marks) a management (4 Marks) b) Develop an X-bar chart for the process c) Determine the process capability ratio Cp for the process d) Determine the process capability index Cpk for the process e) The mean width in the 10th hour was determined to be 17mm. Provide report on the production between the first hour and the 10th hour.
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Related Book For
Introduction to Operations Research
ISBN: 978-1259162985
10th edition
Authors: Frederick S. Hillier, Gerald J. Lieberman
Posted Date:
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