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A new machine has just been installed to produce printed circuit boards. One of the critical measurements is the thickness of the resistance layer.

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A new machine has just been installed to produce printed circuit boards. One of the critical measurements is the thickness of the resistance layer. The quality control inspector randomly selects five boards each half-hour, measures the thickness, and records the results. The measurements (in millimeters) for the period 8:00 a.m. to 10:30 a.m. follow. Thickness (millimeters) 1 2 3 4 5 87.1 Time 8:00 87.3 87.5 87.9 87.1 8:30 86.9 88.5 87.6 87.5 87.41 9:00 87.7 88.5 86.8- 87.5 88.2 9:30 86.0 87.6 87.1 10:00 86.8 88.0 87.2 87.3 86.8 87.3 10:30 88.0 86.3 87.3 87.5 87.2 87.7 Click here for the Excel Data File a. Determine the control limits for the mean and the range. (Leave no cells blank - be certain to enter "O" wherever required. Round your answers to 2 decimal places.) Mean of the sample means LCL UCL Mean of the sample ranges LCL UCL c-1. Are any means out of control? O Yes O No c-2. Are any ranges out of control? Yes O No

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