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Please do the following problem on Minitab
The ABC company, a manufacturer of windows for residential buildings, hired a quality consultant to train the shift supervisors and selected line workers in statistical process control methods. As a trial project, the plant manager wants to evaluate the capability of a critical cutting operation that he suspects might be the source of the gap problem. The nominal specification for this cutting operation is 25.500 inches with a tolerance of 0.030 inches. Thus, the upper and lower specifications are LSL = 25.470 and USL = 25.530 inch. The consultant suggested inspecting five consecutive window panels, per operator, in the middle of each shift over a 15-day period and recording the dimension of the cut. The data is below which shows 15 days data collected for each shift, by the operator.
a) Establish statistical control limits and evaluate the process capability of the process to meet specifications. You may consider the following questions: What do the initial control charts tell you? Do any out-of-control conditions exist? If the process is not in control, what might be the likely causes, based on the information that is available? What is the process capability? What do the process capability indexes tell the company? Is ABC facing a serious problem that needs to address?
b) The plant manager implemented the recommendations that results from the initial study. Because of the success in using control charts, The ABC company made a decision to continue using them on the cutting operation. After establishing the control limit, additional samples were taken over the next 20 shifts, shown in the second part of the table below. Evaluate whether the process remains in control, and suggest any actions that should be taken. Consider the following issues: Does any evidence suggest that the process has changed relative to the established control limits? If any out-of-control patterns are suspected, what might be the cause? What should the company investigate?
DATA:
a) Initial Data Day/Shift Sample 1 IN 3 4 5 Juanita Tex Juanita Tex Juanita Tex Juanita Tex Shane Tex Juanita Tex Juanita Tex Juanita 1-1 1-2 2-1 2-2 3-1 3-2 4-1 4-2 5-1 5-2 6-1 6-2 7-1 7-2 8-1 8-2 9-1 9-2 10-1 10-2 11-1 11-2 12-1 2-2 13-1 13-2 14-1 14-2 15-1 15-2 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 25.505 25.498 25.493 25.496 25.499 25.497 25.502 25.498 25.482 25.492 25.499 25.500 25.504 25.503 25.499 25.499 25.492 25.498 25.499 25.505 25.481 25.497 25.514 25.474 25.502 25.504 25.498 25.500 25.504 25.506 25.498 25.506 25.500 25.496 25.498 25.500 25.500 25.497 25.485 25.504 25.495 25.495 25.500 25.501 25.503 25.495 25.498 25.500 25.501 25.500 25.498 25.499 25.505 25.481 25.496 25.498 25.497 25.506 25.510 25.504 25.493 25.495 25.503 25.496 25.506 25.500 25.508 25.503 25.484 25.510 25.500 25.509 25.495 25.500 25.502 25.507 25.506 25.500 25.502 25.503 25.482 25.501 25.512 25.505 25.507 25.506 25.511 25.494 25.498 25.508 25.501 25.509 25.511 25.505 25.501 25.489 25.500 25.502 25.466 25.500 25.499 25.502 25.497 25.500 25.504 25.499 25.507 25.495 25.501 25.499 25.484 25.497 25.494 25.499 25.491 25.503 25.494 25.497 25.504 25.499 25.500 25.500 25.493 25.500 25.495 25.511 25.500 25.498 25.491 25.509 25.505 25.503 25.489 25.513 25.503 25.502 25.502 25.493 25.505 25.503 25.485 25.488 25.495 25.492 25.504 25.503 25.487 25.506 25.498 25.504 Tex Juanita Tex Juanita Tex Shane Tex Juanita Shane Juanita Tex Juanita Tex Juanita Tex b) Additional Data 16-1 16-2 17-1 17-2 18-1 18-2 19-1 19-2 20-1 20-2 21-1 21-2 22-1 22-2 23-1 23-2 24-1 24-2 25-1 25-2 Juanita Tex Juanita Tex Juanita Tex Juanita Tex Juanita Tex Juanita Tex Juanita Tex Juanita Tex Juanita Tex Juanita Tex 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 25.505 25.493 25.491 25.504 25.493 25.495 25.497 25.501 25.485 25.498 25.509 25.500 25.513 25.494 25.509 25.504 25.499 25.501 25.506 25.519 25.504 25.501 25.490 25.502 25.495 25.496 25.497 25.504 25.497 25.501 25.504 25.495 25.504 25.503 25.514 25.499 25.507 25.509 25.508 25.498 25.506 25.515 25.496 25.515 25.498 25.498 25.494 25.509 25.499 25.497 25.499 25.487 25.506 25.492 25.502 25.500 25.513 25.510 25.518 25.499 25.493 25.490 25.501 25.502 25.503 25.498 25.503 25.496 25.491 25.506 25.505 25.505 25.498 25.514 25.498 25.492 25.497 25.507 25.505 25.504 25.509 25.520 25.506 25.495 25.490 25.484 25.501 25.501 25.499 25.490 25.503 25.500 25.489 25.495 25.504 25.509 25.511 25.495 25.505 25.518 a) Initial Data Day/Shift Sample 1 IN 3 4 5 Juanita Tex Juanita Tex Juanita Tex Juanita Tex Shane Tex Juanita Tex Juanita Tex Juanita 1-1 1-2 2-1 2-2 3-1 3-2 4-1 4-2 5-1 5-2 6-1 6-2 7-1 7-2 8-1 8-2 9-1 9-2 10-1 10-2 11-1 11-2 12-1 2-2 13-1 13-2 14-1 14-2 15-1 15-2 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 25.505 25.498 25.493 25.496 25.499 25.497 25.502 25.498 25.482 25.492 25.499 25.500 25.504 25.503 25.499 25.499 25.492 25.498 25.499 25.505 25.481 25.497 25.514 25.474 25.502 25.504 25.498 25.500 25.504 25.506 25.498 25.506 25.500 25.496 25.498 25.500 25.500 25.497 25.485 25.504 25.495 25.495 25.500 25.501 25.503 25.495 25.498 25.500 25.501 25.500 25.498 25.499 25.505 25.481 25.496 25.498 25.497 25.506 25.510 25.504 25.493 25.495 25.503 25.496 25.506 25.500 25.508 25.503 25.484 25.510 25.500 25.509 25.495 25.500 25.502 25.507 25.506 25.500 25.502 25.503 25.482 25.501 25.512 25.505 25.507 25.506 25.511 25.494 25.498 25.508 25.501 25.509 25.511 25.505 25.501 25.489 25.500 25.502 25.466 25.500 25.499 25.502 25.497 25.500 25.504 25.499 25.507 25.495 25.501 25.499 25.484 25.497 25.494 25.499 25.491 25.503 25.494 25.497 25.504 25.499 25.500 25.500 25.493 25.500 25.495 25.511 25.500 25.498 25.491 25.509 25.505 25.503 25.489 25.513 25.503 25.502 25.502 25.493 25.505 25.503 25.485 25.488 25.495 25.492 25.504 25.503 25.487 25.506 25.498 25.504 Tex Juanita Tex Juanita Tex Shane Tex Juanita Shane Juanita Tex Juanita Tex Juanita Tex b) Additional Data 16-1 16-2 17-1 17-2 18-1 18-2 19-1 19-2 20-1 20-2 21-1 21-2 22-1 22-2 23-1 23-2 24-1 24-2 25-1 25-2 Juanita Tex Juanita Tex Juanita Tex Juanita Tex Juanita Tex Juanita Tex Juanita Tex Juanita Tex Juanita Tex Juanita Tex 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 25.505 25.493 25.491 25.504 25.493 25.495 25.497 25.501 25.485 25.498 25.509 25.500 25.513 25.494 25.509 25.504 25.499 25.501 25.506 25.519 25.504 25.501 25.490 25.502 25.495 25.496 25.497 25.504 25.497 25.501 25.504 25.495 25.504 25.503 25.514 25.499 25.507 25.509 25.508 25.498 25.506 25.515 25.496 25.515 25.498 25.498 25.494 25.509 25.499 25.497 25.499 25.487 25.506 25.492 25.502 25.500 25.513 25.510 25.518 25.499 25.493 25.490 25.501 25.502 25.503 25.498 25.503 25.496 25.491 25.506 25.505 25.505 25.498 25.514 25.498 25.492 25.497 25.507 25.505 25.504 25.509 25.520 25.506 25.495 25.490 25.484 25.501 25.501 25.499 25.490 25.503 25.500 25.489 25.495 25.504 25.509 25.511 25.495 25.505 25.518
