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Production phase After the pre-production phase, the product entered the production phase without introducing any changes in the process. Since it seemed to be stable SPC was not performed for several months, with process stability and variability being assessed by the level of nonconformities it produced. However, after a time, an increasing number of customer complaints due to products supplied outside the specification/. The Quality Engineer decided to take 20 samples from the process with regular spacing between samples. Each sample is made up of 3 parts. The data obtained for the highlighted dimension samples are presented in Table 2 below: sample Observations number Tem 2 3 50.972 50.785 50.767 50.97 50.914 51.066 50.933 51.086 51.081 51.092 50.917 50.948 50.828 51.054 50.859 51.083 50.789 50.984 50.961 50.943 number 1 sample dimension 2 2 3 measurements 4 5 6 7 in mm for critical 1 50.956 Observations 3 11 51.004 51.187 50.768 12 50.975 50.942 51.068 13 51.043 51.086 51.848 14 51.135 51.174 50.823 15 50.967 51.07 50.829 16 50.992 51.07 50.837 17 50.966 50.99 $1.075 1 2

Production phase After the pre-production phase, the product entered the production phase without introducing any changes in the process. Since it seemed to be stable SPC was not performed for several months, with process stability and variability being assessed by the level of nonconformities it produced. However, after a time, an increasing number of customer complaints due to products supplied outside the specification/. The Quality Engineer decided to take 20 samples from the process with regular spacing between samples. Each sample is made up of 3 parts. The data obtained for the highlighted dimension samples are presented in Table 2 below: sample Observations number Tem 2 3 50.972 50.785 50.767 50.97 50.914 51.066 50.933 51.086 51.081 51.092 50.917 50.948 50.828 51.054 50.859 51.083 50.789 50.984 50.961 50.943 number 1 sample dimension 2 2 3 measurements 4 5 6 7 in mm for critical 1 50.956 Observations 3 11 51.004 51.187 50.768 12 50.975 50.942 51.068 13 51.043 51.086 51.848 14 51.135 51.174 50.823 15 50.967 51.07 50.829 16 50.992 51.07 50.837 17 50.966 50.99 $1.075 1 2

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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Production phase After the pre-production phase, the product entered the production phase without introducing any changes in the process. Since it seemed to be stable SPC was not performed for several months, with process stability and variability being assessed by the level of nonconformities it it produced. However, after a time, an increasing number of customer complaints due to products supplied outside the specification/. The Quality Engineer decided to take 20 samples from the process with regular spacing between samples. Each sample is made up of 3 parts. The data obtained for the highlighted dimension samples are presented in Table 2 below: measurements in mm for critical sample dimension number 1 2 3 4 5 6 7 8 9 Observations 2 3 50.767 1 50.972 50.785 50.956 50.97 50.914 51.066 50.933 51.086 50.917 51.081 51.092 50.948 50.828 51.054 50.859 51.083 50.789 50.984 50.961 50.943 51.013 51.02 50.734 50.898 50.956 50.885 51.004 50.984 50.839 Table 2: Measurements in mm for critical dimension 10 sample number 11 12 13 14 15 16 Hadda 17 18 19 20 Observations 2 3 1 51.004 51.187 50.768 50.975 50.942 51.068 51.043 51.086 51.848 50.823 51.135 51.174 50.967 51.07 50.829 50.992 50.966 50.929 50.969 50.928 51.09 51.014 50.973 50.87 51.114 50.971 51.07 50.837 50.99 51.075
Transcribed Image Text:Production phase After the pre-production phase, the product entered the production phase without introducing any changes in the process. Since it seemed to be stable SPC was not performed for several months, with process stability and variability being assessed by the level of nonconformities it it produced. However, after a time, an increasing number of customer complaints due to products supplied outside the specification/. The Quality Engineer decided to take 20 samples from the process with regular spacing between samples. Each sample is made up of 3 parts. The data obtained for the highlighted dimension samples are presented in Table 2 below: measurements in mm for critical sample dimension number 1 2 3 4 5 6 7 8 9 Observations 2 3 50.767 1 50.972 50.785 50.956 50.97 50.914 51.066 50.933 51.086 50.917 51.081 51.092 50.948 50.828 51.054 50.859 51.083 50.789 50.984 50.961 50.943 51.013 51.02 50.734 50.898 50.956 50.885 51.004 50.984 50.839 Table 2: Measurements in mm for critical dimension 10 sample number 11 12 13 14 15 16 Hadda 17 18 19 20 Observations 2 3 1 51.004 51.187 50.768 50.975 50.942 51.068 51.043 51.086 51.848 50.823 51.135 51.174 50.967 51.07 50.829 50.992 50.966 50.929 50.969 50.928 51.09 51.014 50.973 50.87 51.114 50.971 51.07 50.837 50.99 51.075
2. Using data from the production phase carry out a re-assessment of process capability a. Recalculate the control limits using only the production phase data b. Recalculate the Process capability index, Cp for the production phase data c. Update the control charts with the new control limits and all the data (both pre and post-production), include the specification limits on the appropriate graph d. Analyse the control charts and Cp, and comparison with historical data obtained during pre-production analysis.
Transcribed Image Text:2. Using data from the production phase carry out a re-assessment of process capability a. Recalculate the control limits using only the production phase data b. Recalculate the Process capability index, Cp for the production phase data c. Update the control charts with the new control limits and all the data (both pre and post-production), include the specification limits on the appropriate graph d. Analyse the control charts and Cp, and comparison with historical data obtained during pre-production analysis.
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