This case study looks at the behavior of a circuit board process through the use of control charts. At least two control charts will need to be constructed, and from them you will be asked to provide an assessment of what you see. A template to facilitate the construction of the control charts has been provided in Doc Sharing. You are not required to use this template, however, it will greatly facilitate the solution.
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 as shown in the data from the worksheet below. Data in the worksheet below can also be accessed in Doc Sharing in a file named Fujiyama Electronics Sample Data.
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 4.34
23 6.07 4.97 5.51 5.02
24 5.11 4.9 5.91 4.66
25 4.5 5.24 4.86 4.35
26 4.91 4.79 5.74 5.03
27 4.65 4.71 4.81 5.32
28 4.7 5.5 6.04 4.3
29 5.87 5.3 5.78 5.07
30 4.41 4.75 4.95 5.11
You will complete and/or answer the following questions:
1. Calculate X-Bar-Bar, R-Bar, and associated control limits using the data in the table above.
2. Create X-Bar•R (Average & Range) Control Charts from the data in the table above.
3. Discuss notable out-of-control conditions displayed in the completed X-Bar•R (Average & Range) Control Charts. Only consider points outside the control limits. Do not consider runs, set of points within certain zones, and so forth.
4. 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•R Control Chart?
1. 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.
2. Create new X-Bar•R (Average & Range) Control Charts from your updated data.
5. Discuss how the two sets of Control Charts are different. What has changed?
The format of the case study should conform to the Publication Manual for the American Psychological Association (APA), 6th edition, for the title page and text. Citations and references are not required. A basic APA tutorial can be found in the Webliography, and a paper template can be found in Doc Sharing. The completed case study will be submitted to your Dropbox as an MS Word document. All graphics and charts will be a part of the Word document and submitted as a file. Documents authored in other applications such as WordPerfect or MS Works will not be accepted.
This project is to be accomplished individually, and it will reflect the work of each student. All DeVry University policies are in effect, including the plagiarism policy. Late papers will not be accepted without prior permission.
The following are the best practices in preparing this paper. Sample papers, using the APA format, are located in Doc Sharing. Other useful information has also been provided there, including an APA paper template.
• Cover page: Include who you prepared the paper for, who prepared it, and the date.
• Body of your work: Use titles to identify different areas that you address. State the main ideas, major points in each idea, and supporting information. Break down each main idea you will use in the body of your paper. Show some type of division, like separate sections that are labeled, separate groups of paragraphs, or headers. You would include the information you found during your research and investigation.
• Summary and conclusion: Summarizing is similar to paraphrasing, but it presents the gist of the material in fewer words than the original. An effective summary identifies the main ideas and major support points from the body of your work. Minor details are left out.
Additional hints on preparing the best possible project:
o Apply a three-step process of writing: plan, write, and complete.
o Prepare an outline of your research paper before you go forward.
o Complete a first draft, and then go back to edit, evaluate, and make any changes required.
o Use visual communication if it will help clarify and support your work. Any material that can be removed and not affect the clarity of your work is essentially filler and should be avoided. Filler distracts from the flow of your work and will most likely cause you to lose points.
• References: APA formatted references are required for this assignment.
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