Fujiyama Electronics Inc. has had difficulties with circuit boards purchased from an outside supplier. Unacceptable variability occurs
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Question:
Fujiyama Electronics Inc. has had difficulties with circuit boards purchased from an outside supplier. Unacceptable variability occurs between two drilled holes that are supposed to be 5 cm apart on the circuit boards. Thirty samples of four boards each were taken from shipments from the supplier. The data obtained can be found on a worksheet in Files: “Fujiyama_Electronics_Sample_Data.xlsx”.
Observations | |||||
Sample | 1 | 2 | 3 | 4 | |
1 | 4.92 | 4.26 | 4.94 | 4.29 | |
2 | 4.65 | 5.54 | 5 | 5.42 | |
3 | 5.77 | 5.26 | 4.76 | 4.79 | |
4 | 6.25 | 4.88 | 5.66 | 4.44 | |
5 | 5.27 | 5.41 | 6.02 | 4.91 | |
6 | 5.22 | 5.38 | 5.08 | 4.65 | |
7 | 5.47 | 4.68 | 4.56 | 4.7 | |
8 | 5.71 | 4.54 | 4.17 | 4.87 | |
9 | 5.24 | 5.58 | 4.72 | 5.41 | |
10 | 4.42 | 5.18 | 4.79 | 4.73 | |
11 | 5.14 | 4.26 | 4.71 | 5.48 | |
12 | 4.92 | 5.78 | 5.5 | 5.05 | |
13 | 5.79 | 3.83 | 4.3 | 4.78 | |
14 | 4.92 | 4.8 | 4.75 | 5.59 | |
15 | 5.68 | 5.74 | 4.65 | 5.2 | |
16 | 5.43 | 4.81 | 5.27 | 4.96 | |
17 | 4.79 | 6.04 | 4.47 | 5.18 | |
18 | 4.43 | 5.08 | 3.69 | 6.43 | |
19 | 6.35 | 5.95 | 6.29 | 5.89 | |
20 | 5.03 | 4.66 | 5.25 | 4.46 | |
21 | 6.32 | 6.09 | 5.57 | 5.91 | |
22 | 4.3 | 5.47 | 4.27 | ||
Complete and answer the following questions.
- Calculate X-bar-bar, R-bar, and associated control limits using the data in the table above.
- Create x̄ and R (average and range) control charts from the data in the table above.
- Discuss notable out-of-control conditions displayed in the completed x̄ and R (average and range) control charts. Only consider points outside the control limits. Do not consider runs, set of points within certain zones, and so forth.
- If the conditions you note could be defined as assignable conditions, and they are removed from the process, then what will happen to the X-bar and R control chart?
- Remove the data related to the out-of-control points you observed from the original data, and recalculate new X-bar-bar, R-bar, and associated control limits.
- Create new X-bar and R (average and range) control charts from your updated data.
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