Question

You work in a factory that manufacture injection molded parts. As part of the quality control 20 samples of 5 parts each are collected and their compressive strength (in psi) are measured (see Table below) Sample Number xl 83.0 88.6 85.7 80.8 83.4 75.3 74.5 79.2 80.5 75.7 80.0 80.6 82.7 79.2 85.5 78.8 82.1 84.5 79.0 84.5 81.2 78.3 75.8 74.4 78.4 79.9 78.0 84.4 86.2 75.2 78.7 78.8 84.3 82.5 82.6 87.3 80.8 81.5 76.2 75.7 71.0 75.2 74.1 78.2 89.7 73.4 86.0 64.1 82.1 73.8 73.8 82.0 77.7 73.4 79.1 78.2 81.2 84.4 78.7 77.0 84.2 75.7 78.9 81.8 79.7 74.5 80.2 74.3 78.1 81.7 79.5 75.3 4 78.4 79.3 79.1 78.6 82.8 80.2 75.5 83.5 81.2 78.6 12 13 74.9 82.1 79.6 78.2 76.9 77.8 73.1 15 80.8 82.1 79.2 81.6 80.6 18 20 Establish the X and R charts with their USL and LSL.
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| Sample l x1-32 111x3-1-4 X-bar X-bar UCL-84.752 775.7 78.8718 81.278 17.6 10.5 1 842 80.181 88.678.3 85.775.8 75.281 74 1 7

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