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Upper One Sided Cusum Lower One Sided Cusum
x Xi - 10.5 Ci+ N+ 9.5 - Xi Ci- N-
1 9.45 -1.05 0 0 0.05 0.05 02 7.99 -2.51 0 0 1.51 1.56 03 9.29 -1.21 0 0 0.21 1.77 04 11.66 1.16 1.16 1 -2.16 0 05 12.16 1.66 2.82 2 -2.66 0 06 10.18 -0.32 2.5 3 -0.68 0 07 8.04 -2.46 0.04 4 1.46 1.46 08 11.46 0.96 1 0 -1.96 0 09 9.2 -1.3 0 0 0.3 0.3 0
10 10.34 -0.16 0 0 -0.84 0 011 9.03 -1.47 0 0 0.47 0.47 012 11.47 0.97 0.97 1 -1.97 0 013 10.51 0.01 0.98 2 -1.01 0 014 9.4 -1.1 0 0 0.1 0.1 015 10.08 -0.42 0 0 -0.58 0 016 9.37 -1.13 0 0 0.13 0.13 017 10.62 0.12 0.12 1 -1.12 0 018 10.31 -0.19 0 0 -0.81 0 019 8.52 -1.98 0 0 0.98 0.98 020 10.84 0.34 0.34 1 -1.34 0 021 10.9 0.4 0.74 2 -1.4 0 022 9.33 -1.17 0 0 0.17 0.17 023 12.29 1.79 1.79 1 -2.79 0 024 11.5 1 2.79 2 -2 0 025 10.6 0.1 2.89 3 -1.1 0 026 11.08 0.58 3.47 4 -1.58 0 027 10.38 -0.12 3.35 5 -0.88 0 028 11.62 1.12 4.47 6 -2.12 0 029 11.31 0.81 5.28 7 -1.81 0 030 10.52 0.02 5.3 8 -1.02 0 0
Sample number
Target mean 8.02h 4.77
sigma 0.05H 0.2385k 0.5K 0.025
Upper One Sided Cusum Lower One Sided Cusum
x Xi - 8.045 Ci+ N+ 7.995 - Xi Ci-
1 8 -0.045 0 0 -0.005 02 8.01 -0.035 0 0 -0.015 03 8.02 -0.025 0 0 -0.025 04 8.01 -0.035 0 0 -0.015 05 8 -0.045 0 0 -0.005 06 8.01 -0.035 0 0 -0.015 07 8.06 0.015 0.015 1 -0.065 08 8.07 0.025 0.04 2 -0.075 09 8.01 -0.035 0.005 3 -0.015 0
10 8.04 -0.005 0 0 -0.045 011 8.02 -0.025 0 0 -0.025 012 8.01 -0.035 0 0 -0.015 013 8.05 0.005 0.005 1 -0.055 014 8.04 -0.005 0 0 -0.045 015 8.03 -0.015 0 0 -0.035 016 8.05 0.005 0.005 1 -0.055 017 8.06 0.015 0.02 2 -0.065 018 8.04 -0.005 0.015 3 -0.045 019 8.05 0.005 0.02 4 -0.055 020 8.06 0.015 0.035 5 -0.065 021 8.04 -0.005 0.03 6 -0.045 022 8.02 -0.025 0.005 7 -0.025 023 8.03 -0.015 0 0 -0.035 024 8.05 0.005 0.005 1 -0.055 0
Sample number
x MR
1 8 -2 8.01 0.01
3 8.02 0.014 8.01 0.015 8 0.016 8.01 0.017 8.06 0.058 8.07 0.019 8.01 0.06
Lower One Sided Cusum 10 8.04 0.03
N-11 8.02 0.02
0 12 8.01 0.010 13 8.05 0.040 14 8.04 0.010 15 8.03 0.010 16 8.05 0.020 17 8.06 0.010 18 8.04 0.020 19 8.05 0.010 20 8.06 0.010 21 8.04 0.020 22 8.02 0.020 23 8.03 0.010 24 8.05 0.020 MR-bar 0.01870 Sigma-cap 0.0166000000000
Sample number
Target mean 28h 5
sigma 2H 10K 0.5
Upper One Sided Cusum Lower One Sided Cusum
Sample number x Xi - 8.045 Ci+ N+ 7.995 - Xi
1 26.4 -2.1 0 0 1.12 25.3 -3.2 0 0 2.23 31.8 3.3 3.3 1 -4.34 27.1 -1.4 1.9 2 0.45 28.5 0 1.9 3 -16 20.2 -8.3 0 0 7.37 19.3 -9.2 0 0 8.28 22.7 -5.8 0 0 4.89 20.4 -8.1 0 0 7.1
10 19.5 -9 0 0 811 21.7 -6.8 0 0 5.812 24 -4.5 0 0 3.5
Lower One Sided Cusum
Ci- N-
1.1 13.3 20 0
0.4 10 0
7.3 115.5 220.3 327.4 435.4 541.2 644.7 7
Upper One Sided Cusum Lower One Sided Cusum
x x_i - (8.52 S_H_i N_H 7.52-x_i S_L_i N_L
1 8 -0.02625 0 0 -0.48 0 02 8.01 -0.01625 0 0 -0.49 0 03 8.02 -0.00625 0 0 -0.5 0 04 8.01 -0.01625 0 0 -0.49 0 05 8 -0.02625 0 0 -0.48 0 06 8.01 -0.01625 0 0 -0.49 0 07 8.06 0.03375 0.03375 0 -0.54 0 08 8.07 0.04375 0.0775 0 -0.55 0 09 8.01 -0.01625 0.06125 0 -0.49 0 0
10 8.04 0.01375 0.075 0 -0.52 0 011 8.02 -0.00625 0.06875 0 -0.5 0 012 8.01 -0.01625 0.0525 0 -0.49 0 013 8.05 0.02375 0.07625 0 -0.53 0 014 8.04 0.01375 0.09 0 -0.52 0 015 8.03 0.00375 0.09375 0 -0.51 0 016 8.05 0.02375 0.1175 0 -0.53 0 017 8.06 0.03375 0.15125 0 -0.54 0 018 8.04 0.01375 0.165 0 -0.52 0 019 8.05 0.02375 0.18875 0 -0.53 0 020 8.06 0.03375 0.2225 0 -0.54 0 021 8.04 0.01375 0.23625 0 -0.52 0 022 8.02 -0.00625 0.23 0 -0.5 0 023 8.03 0.00375 0.23375 0 -0.51 0 024 8.05 0.02375 0.2575 0 -0.53 0 0
8.0325
Target mean 8.02h 4.77
sigma 0.05H 0.2385k 0.5
K 0.00625
Sample number
Original mean
MR
0.010.010.010.010.010.050.010.060.030.020.010.040.010.010.020.010.020.010.010.02 0.0250.020.010.02
MR 0.018696
Sigma-cap 0.016574
8.02lambda 0.2sigma 0.05
L 3
xEWMA, Zi UCL LCL
1 8 8.02 8.05 7.992 8.01 8.01 8.06 7.983 8.02 8.02 8.06 7.984 8.01 8.01 8.07 7.975 8 8.01 8.07 7.976 8.01 8.01 8.07 7.977 8.06 8.02 8.07 7.978 8.07 8.03 8.07 7.979 8.01 8.03 8.07 7.97
10 8.04 8.03 8.07 7.9711 8.02 8.03 8.07 7.9712 8.01 8.02 8.07 7.9713 8.05 8.03 8.07 7.9714 8.04 8.03 8.07 7.9715 8.03 8.03 8.07 7.9716 8.05 8.03 8.07 7.9717 8.06 8.04 8.07 7.9718 8.04 8.04 8.07 7.9719 8.05 8.04 8.07 7.9720 8.06 8.05 8.07 7.9721 8.04 8.04 8.07 7.9722 8.02 8.04 8.07 7.9723 8.03 8.04 8.07 7.9724 8.05 8.04 8.07 7.97
Target mean
Sample number
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 247.92
7.94
7.96
7.98
8.00
8.02
8.04
8.06
8.08
Chart Title
Column E Column F Column G
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 247.92
7.94
7.96
7.98
8.00
8.02
8.04
8.06
8.08
Chart Title
Column E Column F Column G
