IE 323 - Statistical Methods in Industrial Engineering The 9th Homework Assignment NAME: (Due date: 5:00pm, May 2, 2016) Homework will be collected at the end of class (9:55am) on the assigned due date. Late submission will not be accepted. 1. Review all materials covered in class 2. Thoroughly read/study Chapter 17.1-17.5 of text 3. The quality engineer in charge of a salt packaging process is concerned about the moisture content in packages of salt. The primary concern is that variation in the ambient humidity in the plant may be causing variation in the mean moisture content in the packages over time. It is decided that packages in each sample will be produced as close to each other in time as possible. In this way, the ambient humidity will be nearly the same for each package in the sample so that the within-group variation will not be affected by this special cause. Five packages of salt are sampled every 15 minutes for 5 hours and the moisture content in each package is measured as a percentage of total weight. The data is found below. 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 3.25 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 Sums: Averages: 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 55.412 2.7706 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 13.65 0.6825 The quality engineer is trying to establish the control limits for an X and R chart. Using the data, compute the centerline and control limits for X and R charts. 4. South of the Borders, Inc. is a custom wallpapers and borders manufacturer. While their products vary in visual design, the manufacturing process for each of the products is similar. Each day a sample of 100 rolls of wallpaper border is sampled and the number of defective rolls in the sample is noted. The number of defective rolls in samples from 25 consecutive production days follows. The quality engineer is trying to establish the control limits for fractional nonconforming. Using the data, compute the centerline and control limits for the p chart. Day 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 n 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 Defective Rolls 13 4 7 11 8 10 2 9 12 6 4 7 9 8 9 3 5 14 10 11 6 6 9 3 10 Please use this assignment page as the cover page of your homework submission