Problem 4 (15 points): The quality engineer in charge of a salt packaging process is concerned about the moisture conten

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Problem 4 15 Points The Quality Engineer In Charge Of A Salt Packaging Process Is Concerned About The Moisture Conten 1 (42.73 KiB) Viewed 25 times

Problem 4 (15 points): The quality engineer in charge of a salt packaging process is concerned about the moisture content in packages of salt. Five packages of salt are sampled each time, and the moisture content in each package is measured as the percentage of total weight. The data is shown in the following table:

Sample 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 2.53 2.69 2.67 2.1 2.64 2.64 2.58 2.31 3.03 2.86 2.71 2.95 3.14 2.85 2.82 3.17 2.81 2.99 3.11 2.83 2.66 2.38 2.23 2.26 2.42 1.63 2.69 2.39 2.68 3.22 2.8 3.54 2.84 3.29 3.71 3.07 3.21 2.65 2.74 2.74 Sample Values 1.88 2.21 2.34 2.47 2.1 2.43 2.51 2.58 2.56 2.51 2.95 2.12 3.01 3.01 2.6 2.4 2.27 2.54 2.72 3.09 3.09 2.6 2.59 3.31 3.77 2.27 3.35 3.36 2.95 3.14 3.63 2.95 3.04 2.79 2.8 2.59 3.01 3.03 2.68 2.26 2.61 2.54 2.28 2.36 2.67 2.23 2.46 2.63 2.48 3.39 2.87 3.22 3.59 3.37 3.7 2.85 2.95 3.03 2.49 х 2.308 2.498 2.394 2.346 2.498 2.402 2.704 2.432 2.63 2.874 2.918 3.052 3.048 3.266 3.242 3.342 2.972 2.836 2.896 2.754 R 0.78 0.35 0.57 0.48 0.28 1.32 0.78 0.29 0.76 0.74 0.79 0.95 1.5 0.74 0.89 0.63 0.4 0.34 0.52 0.54 3.25 1) Estimate the process standard deviation o, using R. 2) Establish the control limits (UCL, CL, and LCL) for R chart. (Assume a = 0.0026)

3) Establish the control limits (UCL, CL, and LCL) for X-bar chart. (Assume a = 0.0026)

4) If the specification limits are 2.70 – 0.15, find the process capability indices Cp and Cpk.