i xi 1 9.45 2 7.99 3 9.29 4 11.66 5 12.16 6 10.18 7 8.04...

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i xi 1 9.45 2 7.99 3 9.29 4 11.66 5 12.16 6 10.18 7 8.04 8 11.46 9 9.2 10 10.34 11 9.03 12 11.47 13 10.51 14 9.4 15 10.08 16 9.37 17 10.62 18 10.31 19 8.52 20 10.84 21 10.9 22 9.33 23 12.29 24 11.5 25 10.6 26 11.08 27 10.38 28 11.62 29 11.31 30 10.52 Q1. Download the dataset from Canvas. The data represent individual observations on bath concentration from a chemical process. The target value is 10 and the process standard deviation is given as = 0.8. (a) Use k = 0.5 and h=5, built a tabular CUSUM to quickly detect a shift of about 1o in the process mean. Based on the tabular CUSUM, please conclude whether the process has a mean shift using h=5. If the process has a mean shift, please indicate at which sample this mean shift started. (b) Estimate the magnitude of the mean shift and calculate the 8= |, -/0. (c) Calculate out-of-control ARL: (using the approximated formula) for the two-sided CUSUM. Q2. Use the same dataset as in Question 6. o = 10 and = 0.8 are the same as before. (a) Using = 0.1 and L=3, please construct an EWMA chart, also please indicate at which sample the out- of-control condition is detected. (b) What are the steady state values of control limits for the EWMA chart in part (a). i xi 1 9.45 2 7.99 3 9.29 4 11.66 5 12.16 6 10.18 7 8.04 8 11.46 9 9.2 10 10.34 11 9.03 12 11.47 13 10.51 14 9.4 15 10.08 16 9.37 17 10.62 18 10.31 19 8.52 20 10.84 21 10.9 22 9.33 23 12.29 24 11.5 25 10.6 26 11.08 27 10.38 28 11.62 29 11.31 30 10.52 Q1. Download the dataset from Canvas. The data represent individual observations on bath concentration from a chemical process. The target value is 10 and the process standard deviation is given as = 0.8. (a) Use k = 0.5 and h=5, built a tabular CUSUM to quickly detect a shift of about 1o in the process mean. Based on the tabular CUSUM, please conclude whether the process has a mean shift using h=5. If the process has a mean shift, please indicate at which sample this mean shift started. (b) Estimate the magnitude of the mean shift and calculate the 8= |, -/0. (c) Calculate out-of-control ARL: (using the approximated formula) for the two-sided CUSUM. Q2. Use the same dataset as in Question 6. o = 10 and = 0.8 are the same as before. (a) Using = 0.1 and L=3, please construct an EWMA chart, also please indicate at which sample the out- of-control condition is detected. (b) What are the steady state values of control limits for the EWMA chart in part (a).