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Fujiyama Electronics Case Study - Due Week 7 Objective | Project Deliverables | Grading Rubrics | Best Practices Objective This case study looks at the behavior of a circuit board process though the use of Control Charts. At least two Control Charts will need to be constructed, and from them you will asked to provide an assessment of you see. A template to facilitate the construction of the Control Charts has been provided. Problem Statement 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 ? apart on the circuit boards. 25 samples of 3 boards each were taken from shipments from the supplier as shown in the data from the worksheet. Data in the work sheet below can also be accessed here. Fujiyama Electronics Observations Sample 1 2 3 1 414 388 402 2 408 382 406 3 396 402 392 4 390 398 362 5 398 442 436 6 400 400 414 7 444 390 410 8 360 372 362 9 376 398 382 10 342 400 402 11 400 402 384 12 408 414 388 13 382 430 400 14 402 409 400 15 399 424 413 16 460 375 445 17 404 420 437 18 375 380 410 19 391 392 414 20 394 399 380 21 396 416 400 22 370 411 403 23 481 450 451 24 398 398 415 25 428 406 390 Project Deliverables The student will submit the completed case study in word document paper by the end of class week 7 to their Dropbox. The paper is worth 50 points. The student 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-BarR (Average & Range) Control Charts from the data in table above. 3. Discuss notable out-of-control conditions displayed in the completed X-BarR (Average & Range) Control Charts. Only consider points outside the Control Limits. Do not consider runs, set of points within certain zones, etc. 4. If the conditions you note could be defined as assignable conditions and they are removed from the process, what will happen to the X-BarR Control Chart? (a) Remove the data related to the out-of-control points you observed from the origainal data and recalculate a new X-Bar-Bar, R-Bar, and associated control limits. (b) Create new X-BarR (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 title page & text. Citations and references are not required. A basic APA tutorial can be found in Webliography and paper template can be found in Doc Sharing. The completed case study will be submitted to your Dropbox as a 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. Grading Rubrics First Control Chart (40 Percent) Points Possible Points Earned Comments All calculations are correct. 5 X-Bar & R charts are presented and correct. 5 All conditions of importance discussed. 10 Total 20 Second Control Chart (40 Percent) Points Possible Points Earned Comments All calculations are correct. 5 X-Bar & R charts are presented and correct. 5 Differences between the two sets of Control Charts are thoroughly discussed. 10 Total 20 Mechanics (20 Percent) Points Possible Points Earned Comments: The paper, including the title page follow APA guidelines for format. (References and citations not required) 2 Sentences are complete, clear, and concise. 2 The paper is laid out with effective use of headings, font styles, and white space. 2 Rules of grammar, usage, and punctuation are followed. 2 Spelling is correct. 2 Total 10 Total (100 Percent) Points Possible Points Earned Comments: 50 Below is a excel template were i have graphed the problem and example of a case. X-bar and R-Chart This spreadsheet is designed for up to 50 samples, each of a constant sample size from 2 to 10. Enter data ONLY in yellow-shaded cells. Enter the number of samples in cell E6 and the sample size in cell E7. Then enter your data in the grid below. Click on sheet tabs for a display of the control charts. Specification limits may be entered in cells N7 and N8 for process capability. Number of samples (<= 50) 25 Sample size (2 - 10) 3 Grand Average 402.8266667 A2 D3 D4 d2 Average Range 30.88 1.023 0 2.574 1.693 DATA 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 1 414 408 396 390 398 400 444 360 376 342 400 408 382 402 399 460 404 375 391 394 396 370 481 398 428 2 388 382 402 398 442 400 390 372 398 400 402 414 430 409 424 375 420 380 392 399 416 411 450 398 406 3 402 406 392 362 436 414 410 362 382 402 384 388 400 400 413 445 437 410 414 380 400 403 451 415 390 4 5 6 7 8 9 10 Average 401.3333333 398.6666667 396.6666667 383.3333333 425.3333333 404.6666667 414.6666667 364.6666667 385.3333333 381.3333333 395.3333333 403.3333333 404 403.6666667 412 426.6666667 420.3333333 388.3333333 399 391 404 394.6666667 460.6666667 403.6666667 408 #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A LCLx-bar 371.2364267 371.2364267 371.2364267 371.2364267 371.2364267 371.2364267 371.2364267 371.2364267 371.2364267 371.2364267 371.2364267 371.2364267 371.2364267 371.2364267 371.2364267 371.2364267 371.2364267 371.2364267 371.2364267 371.2364267 371.2364267 371.2364267 371.2364267 371.2364267 371.2364267 371.2364267 371.2364267 371.2364267 371.2364267 371.2364267 371.2364267 371.2364267 371.2364267 371.2364267 371.2364267 371.2364267 371.2364267 371.2364267 371.2364267 371.2364267 371.2364267 371.2364267 371.2364267 371.2364267 371.2364267 371.2364267 371.2364267 371.2364267 371.2364267 371.2364267 Center 402.8266667 402.8266667 402.8266667 402.8266667 402.8266667 402.8266667 402.8266667 402.8266667 402.8266667 402.8266667 402.8266667 402.8266667 402.8266667 402.8266667 402.8266667 402.8266667 402.8266667 402.8266667 402.8266667 402.8266667 402.8266667 402.8266667 402.8266667 402.8266667 402.8266667 402.8266667 402.8266667 402.8266667 402.8266667 402.8266667 402.8266667 402.8266667 402.8266667 402.8266667 402.8266667 402.8266667 402.8266667 402.8266667 402.8266667 402.8266667 402.8266667 402.8266667 402.8266667 402.8266667 402.8266667 402.8266667 402.8266667 402.8266667 402.8266667 402.8266667 UCLx-bar 434.4169067 434.4169067 434.4169067 434.4169067 434.4169067 434.4169067 434.4169067 434.4169067 434.4169067 434.4169067 434.4169067 434.4169067 434.4169067 434.4169067 434.4169067 434.4169067 434.4169067 434.4169067 434.4169067 434.4169067 434.4169067 434.4169067 434.4169067 434.4169067 434.4169067 434.4169067 434.4169067 434.4169067 434.4169067 434.4169067 434.4169067 434.4169067 434.4169067 434.4169067 434.4169067 434.4169067 434.4169067 434.4169067 434.4169067 434.4169067 434.4169067 434.4169067 434.4169067 434.4169067 434.4169067 434.4169067 434.4169067 434.4169067 434.4169067 434.4169067 Range 26 26 10 36 44 14 54 12 22 60 18 26 48 9 25 85 33 35 23 19 20 41 31 17 38 #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A LCLrange 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Center 30.88 30.88 30.88 30.88 30.88 30.88 30.88 30.88 30.88 30.88 30.88 30.88 30.88 30.88 30.88 30.88 30.88 30.88 30.88 30.88 30.88 30.88 30.88 30.88 30.88 30.88 30.88 30.88 30.88 30.88 30.88 30.88 30.88 30.88 30.88 30.88 30.88 30.88 30.88 30.88 30.88 30.88 30.88 30.88 30.88 30.88 30.88 30.88 30.88 30.88 UCLrange 79.48512 79.48512 79.48512 79.48512 79.48512 79.48512 79.48512 79.48512 79.48512 79.48512 79.48512 79.48512 79.48512 79.48512 79.48512 79.48512 79.48512 79.48512 79.48512 79.48512 79.48512 79.48512 79.48512 79.48512 79.48512 79.48512 79.48512 79.48512 79.48512 79.48512 79.48512 79.48512 79.48512 79.48512 79.48512 79.48512 79.48512 79.48512 79.48512 79.48512 79.48512 79.48512 79.48512 79.48512 79.48512 79.48512 79.48512 79.48512 79.48512 79.48512 DO NOT MODIFY THIS TABLE Control Chart Factors n A2 D3 D4 d2 A3 B3 B4 2 1.88 0 3.267 1.128 2.659 0 3.267 3 1.023 0 2.574 1.693 1.954 0 2.568 4 0.729 0 2.282 2.059 1.628 0 2.266 5 0.577 0 2.114 2.326 1.427 0 2.089 6 0.483 0 2.004 2.534 1.287 0.03 1.97 7 0.419 0.076 1.924 2.704 1.182 0.118 1.882 8 0.373 0.136 1.864 2.847 1.099 0.185 1.815 9 0.337 0.184 1.816 2.97 1.032 0.239 1.761 10 0.308 0.223 1.777 3.078 0.975 0.284 1.716
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