Question: (Please only the b question) 1. Suppose that a window manufacturer is monitoring the process used to make its windows. Every 15 minutes, the manufacturer

(Please only the b question) 1. Suppose that a (Please only the b question)

1. Suppose that a window manufacturer is monitoring the process used to make its windows. Every 15 minutes, the manufacturer measures the width of 4 windows. Over the course of two and a half hours, the following 10 samples (each of size 4) are taken. All measurements are in meters. Sample 1 4 21 22 23 24 R 1.11 1.03 1.33 1.30 1.20 0.30 1.21 1.28 1.05 1.30 1.21 0.25 1.31 | 1.03 1.19 1.07 1.15 0.28 | 1.21 1.12 1.11 0.97 1.10 0.24 | 1.27 1.20 1.33 1.01 | 1.20 0.32 0.96 1.00 1.09 1.03 1.02 0.13 | 1.03 1.15 1.20 1.15 1.13 0.17 1.12 0.99 1.02 1.27 1.10 0.28 1.30 | 1.11 | 1.27 | 1.05 | 1.18 | 0.25 1.04 | 1.26 1.04 | 1.09 | 1.11 0.22 8 9 10 a. Calculate the upper and lower control limits for the -chart and the R-chart associated with this data. See below for the table of the D2, D3, and D4 values. Sample Size 2 3 D2 D3 1.1280 1.693 0 2.059 2.326 0 2.534 0 2.704 .0761 D4 3.268 2.574 2.282 2.115 2.004 1.924 5 6 7 b. Plot the T-chart and the R-chart. Determine whether or not the process is in control. If it is not in control, state what looks wrong on the control chart and what could possibly be causing this

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