57.96 58.28 58.43 58.00 0.710 58.76 1.373 Sample Sample Hour Mean Mean Variance 1 0.721 2 58.07 0.857 3 58.41 1.108 4 4 57.96 1.909 5 58.16 0.873 6 57.64 2.27 7 57.85 1.019 8 58.19 0.797 9 9 57.99 0.394 10 57.88 0.438 11 57.89 0.391 12 57.53 1.368 13 57.61 1.363 14 58.43 0.731 15 58.40 1.729 16 57.94 0.355 17 58.07 0.862 18 57.58 0.473 19 58.07 1.681 20 57.73 1.679 21 57.68 0.824 22 58.30 0.383 23 57.48 2.462 24 58.96 0.565 25 58.20 1.746 26 27 58.44 1.271 28 58.38 0.905 29 58.91 30 57.56 2.167 31 57.80 1.419 32 58.23 1.643 33 58.37 1.230 34 58.19 1.291 35 58.84 0.173 36 57.36 0.498 37 58.33 2.158 38 58.02 0.872 39 57.35 2.249 40 57.37 0.411 41 57.74 0.958 42 58.21 1.603 43 58.75 1.914 44 57.47 1.075 45 58.41 1.919 46 57.74 0.931 47 58.42 1.318 48 58.21 0.564 49 58.38 0.824 50 58.73 1.290 51 58.12 0.967 52 58.43 0.251 53 57.89 0.894 54 58.04 1.735 55 58.47 0.837 56 58.47 0.548 57 57.52 0.578 58 57.67 0.952 59 58.04 1.688 60 57.69 0.364 61 58.80 0.919 58.18 0.227 63 58.21 0.570 64 58.38 0.930 65 57.81 0.289 66 57.59 1.021 67 58.20 1.337 68 58.23 0.951 69 57.74 1.985 70 57.44 0.484 71 57.74 1.299 72 57.71 1.229 73 58.56 2.468 74 57.61 1.584 75 58.14 2.218 76 57.81 0.891 77 57.16 0.300 78 58.52 1.064 79 57.54 0.927 80 58.84 0.465 81 58.15 0.279 82 58.05 1.117 83 58.17 0.901 84 57.62 1.577 85 58.61 0.703 86 57.88 0.965 87 58.23 2.623 88 62.68 2.702 89 62.86 0.807 90 57.68 1.683 91 58.15 1.305 92 57.39 0.211 93 57.70 0.941 94 52.93 1.031 95 52.70 1.106 96 55.51 0.465 97 54.82 0.279 98 57.89 0.733 99 57.71 0.420 100 58.14 1.981 tennis ball weights (grams) x1 X2 X3 x4 x5 x6 X7 57.65 58.73 56.94 57.52 59.46 57.84 57.59 56.74 58.92 59.15 58.51 56.99 58.35 57.86 58.26 60.22 56.61 58.26 58.30 58.62 58.58 59.94 57.20 58.27 58.14 55.42 58.49 58.27 58.24 58.09 56.43 58.64 58.13 58.05 59.57 55.02 58.24 59.06 57.73 56.79 57.16 59.49 59.52 56.72 59.00 57.37 57.54 57.48 57.34 57.39 58.84 58.14 57.26 57.37 59.52 58.83 57.54 58.85 57.73 58.12 56.96 57.82 56.95 57.74 57.94 59.00 58.36 57.38 58.69 57.31 57.05 57.74 57.71 58.65 58.07 56.48 57.92 59.56 56.47 57.71 58.16 56.40 55.66 58.62 58.55 58.03 56.33 57.63 58.42 58.14 57.68 57.85 59.55 59.49 58.81 57.49 56.75 60.01 60.15 57.91 57.56 58.91 57.51 58.27 57.98 57.31 58.49 57.39 58.76 57.35 57.27 58.11 58.55 57.85 59.54 56.69 58.50 58.47 57.77 57.35 57.32 57.81 56.31 58.05 59.15 57.11 58.15 56.37 60.27 57.64 57.79 58.20 58.94 55.85 56.24 57.32 58.46 59.12 57.69 56.75 57.80 58.95 56.32 57.83 58.44 57.83 58.45 58.32 58.48 59.49 57.77 57.73 56.50 57.25 54.99 58.60 59.90 57.11 58.04 58.62 59.85 59.20 58.53 57.66 59.23 59.65 56.76 58.03 57.14 59.56 60.39 57.43 58.10 57.29 57.38 59.42 57.67 58.24 57.22 58.17 57.47 57.07 58.06 60.44 58.71 59.16 58.13 58.82 59.59 58.61 56.49 58.32 58.67 60.35 58.05 60.02 59.38 59.36 58.09 57.15 56.53 55.26 58.40 56.85 58.61 59.64 57.66 56.22 56.62 57.59 59.43 57.30 58.70 58.73 58.06 59.62 58.72 57.67 57.88 55.98 59.70 58.10 57.01 59.80 58.60 57.69 59.85 57.53 59.41 57.73 58.19 58.24 56.22 59.63 57.89 58.55 58.97 58.18 58.95 59.29 58.60 59.32 57.32 58.22 57.29 56.54 58.10 57.64 56.39 57.31 57.25 58.34 57.82 60.20 60.54 56.88 56.61 58.64 58.35 58.41 56.83 59.09 58.22 57.85 56.35 57.84 56.41 56.31 60.36 56.36 56.97 58.09 56.26 57.49 57.52 58.06 57.17 56.08 57.64 57.54 57.72 59.44 57.94 57.85 58.89 59.62 56.79 58.62 58.75 58.70 56.10 56.39 59.95 58.00 57.81 60.02 59.80 59.31 58.01 58.85 58.75 56.68 56.86 56.66 56.49 57.75 60.02 56.33 58.15 58.88 60.19 57.57 57.54 59.31 57.47 56.19 58.13 57.28 58.23 57.88 60.41 58.06 58.07 57.16 59.60 57.77 58.50 58.85 59.16 57.14 58.13 57.31 58.37 58.34 58.52 58.31 58.01 57.68 57.51 60.26 58.46 60.14 58.53 56.91 58.03 60.06 58.99 59.34 56.49 58.79 57.87 57.24 58.45 58.63 58.40 58.64 57.81 58.54 57.73 59.12 58.74 58.79 56.93 58.48 57.68 57.74 59.06 56.53 58.41 59.36 57.68 58.42 55.27 58.67 58.98 57.99 57.85 58.10 57.48 58.66 60.20 58.38 59.32 58.31 57.53 57.55 59.15 59.05 57.86 57.40 56.67 57.78 56.76 57.26 58.90 56.10 58.64 58.45 57.79 57.00 57.08 58.61 59.18 59.52 57.28 57.44 57.57 56.03 59.24 57.11 57.32 57.28 57.41 58.61 58.47 57.60 59.79 59.35 59.78 57.06 58.66 58.45 58.48 57.73 58.41 58.25 57,46 58.72 58.69 58.01 58.69 57.17 58.39 58.59 59.32 57.48 57.80 57.90 58.73 59.32 59.18 56.77 59.13 57.64 57.99 57.95 58.66 57.08 57.53 57.33 58.15 59.25 58.34 57.30 56.49 58.15 56.84 56.79 59.01 57.86 58.47 56.98 59.64 56.47 58.99 59.45 57.54 57.53 58.91 59.41 57.37 57.42 56.66 58.82 59.14 55.49 57.79 59.19 57.07 57.27 57.55 57.58 58.21 58.06 56.08 57.30 58.67 57.98 57.57 58.72 58.74 56.78 55.75 58.02 57.76 57.66 56.45 59.69 56.41 57.98 58.23 59.63 57.54 58.53 55.96 59.17 60.88 55.56 57.85 57.86 57.56 59.83 57.44 57.14 59.90 55.87 56.90 58.99 59.73 57.86 57.70 59.36 57.23 57.42 58.66 57.22 58.10 56.67 57.54 56.34 57.85 57.63 57.13 56.67 56.95 59.38 59.24 59.00 56.55 57.67 58.86 58.94 59.10 56.17 58.34 57.16 57.03 57.16 57.79 58.74 59.52 58.88 58.18 57.78 59.16 59.65 57.57 58.58 59.14 57.90 57.90 57.97 59.13 55.94 58.41 57.87 57.66 58.77 58.55 59.67 58.05 56.98 58.16 59.13 57.88 57.32 59.02 57.39 57.62 57.43 55.12 58.27 58.48 57.80 57.78 57.94 58.87 59.93 59.39 58.53 58.00 57.02 56.93 59.72 57.33 57.66 58.51 59.34 58.53 61.11 57.68 57.80 56.82 56.32 61.87 62.19 62.30 63.97 60.59 62.17 65.66 62.44 62.51 61.96 64.72 62.61 63.22 62.57 57 23 58.65 59.05 58.74 56.93 55.36 57.77 57.28 59.48 57.13 59.70 57.74 56.99 58.74 57.12 57.40 56.64 58.06 57.35 57.81 57.36 57.98 58.74 57.82 56.53 58.55 56.20 58.06 52.03 52.87 53.09 52.58 51.75 53.31 53.81 52.68 53.72 52.87 52.98 52.09 50.73 55.41 56.19 55.55 54.85 54.45 55.83 56.32 54.24 55.25 54.69 55.81 54.57 54.57 54.64 57.45 57.71 57.70 57.58 58.39 59.53 56.84 57.95 58.08 57.13 57.26 56.77 58.32 58.44 59.29 58.11 58.68 57.72 56.70 60.24 58.47 62 58.02 54.85 56.24 Big Fuzz carefully keeps track of how many orders they receive each week for new tennis balls. If the number of orders per week increases or decreases over time, then the weekly output must be adjusted. Data from the last 72 weeks has been provided for you. Use the first 20 observations as the base period and draw a c chart with the data. a) What is the value of c? b) What is the value of the LCL & UCL on the c chart? c) (MCQ) Which of the following statements best describes the c chart? 1) No alarms during Phase 1 or Phase 2. The process appears to be in control. 2) Alarm(s) during Phase 1, so the chart is invalid. 3) No alarms during Phase 1, but there are alarm(s) during Phase 2. We have evidence the process is now out of control. d) (MCQ) What assumptions about the data are you required to make? Select ALL correct answers. 1) The process was in control during Phase 1. 2) The data is Binomial. 3) The data is Poisson. 4) The data is normally distributed. 57.96 58.28 58.43 58.00 0.710 58.76 1.373 Sample Sample Hour Mean Mean Variance 1 0.721 2 58.07 0.857 3 58.41 1.108 4 4 57.96 1.909 5 58.16 0.873 6 57.64 2.27 7 57.85 1.019 8 58.19 0.797 9 9 57.99 0.394 10 57.88 0.438 11 57.89 0.391 12 57.53 1.368 13 57.61 1.363 14 58.43 0.731 15 58.40 1.729 16 57.94 0.355 17 58.07 0.862 18 57.58 0.473 19 58.07 1.681 20 57.73 1.679 21 57.68 0.824 22 58.30 0.383 23 57.48 2.462 24 58.96 0.565 25 58.20 1.746 26 27 58.44 1.271 28 58.38 0.905 29 58.91 30 57.56 2.167 31 57.80 1.419 32 58.23 1.643 33 58.37 1.230 34 58.19 1.291 35 58.84 0.173 36 57.36 0.498 37 58.33 2.158 38 58.02 0.872 39 57.35 2.249 40 57.37 0.411 41 57.74 0.958 42 58.21 1.603 43 58.75 1.914 44 57.47 1.075 45 58.41 1.919 46 57.74 0.931 47 58.42 1.318 48 58.21 0.564 49 58.38 0.824 50 58.73 1.290 51 58.12 0.967 52 58.43 0.251 53 57.89 0.894 54 58.04 1.735 55 58.47 0.837 56 58.47 0.548 57 57.52 0.578 58 57.67 0.952 59 58.04 1.688 60 57.69 0.364 61 58.80 0.919 58.18 0.227 63 58.21 0.570 64 58.38 0.930 65 57.81 0.289 66 57.59 1.021 67 58.20 1.337 68 58.23 0.951 69 57.74 1.985 70 57.44 0.484 71 57.74 1.299 72 57.71 1.229 73 58.56 2.468 74 57.61 1.584 75 58.14 2.218 76 57.81 0.891 77 57.16 0.300 78 58.52 1.064 79 57.54 0.927 80 58.84 0.465 81 58.15 0.279 82 58.05 1.117 83 58.17 0.901 84 57.62 1.577 85 58.61 0.703 86 57.88 0.965 87 58.23 2.623 88 62.68 2.702 89 62.86 0.807 90 57.68 1.683 91 58.15 1.305 92 57.39 0.211 93 57.70 0.941 94 52.93 1.031 95 52.70 1.106 96 55.51 0.465 97 54.82 0.279 98 57.89 0.733 99 57.71 0.420 100 58.14 1.981 tennis ball weights (grams) x1 X2 X3 x4 x5 x6 X7 57.65 58.73 56.94 57.52 59.46 57.84 57.59 56.74 58.92 59.15 58.51 56.99 58.35 57.86 58.26 60.22 56.61 58.26 58.30 58.62 58.58 59.94 57.20 58.27 58.14 55.42 58.49 58.27 58.24 58.09 56.43 58.64 58.13 58.05 59.57 55.02 58.24 59.06 57.73 56.79 57.16 59.49 59.52 56.72 59.00 57.37 57.54 57.48 57.34 57.39 58.84 58.14 57.26 57.37 59.52 58.83 57.54 58.85 57.73 58.12 56.96 57.82 56.95 57.74 57.94 59.00 58.36 57.38 58.69 57.31 57.05 57.74 57.71 58.65 58.07 56.48 57.92 59.56 56.47 57.71 58.16 56.40 55.66 58.62 58.55 58.03 56.33 57.63 58.42 58.14 57.68 57.85 59.55 59.49 58.81 57.49 56.75 60.01 60.15 57.91 57.56 58.91 57.51 58.27 57.98 57.31 58.49 57.39 58.76 57.35 57.27 58.11 58.55 57.85 59.54 56.69 58.50 58.47 57.77 57.35 57.32 57.81 56.31 58.05 59.15 57.11 58.15 56.37 60.27 57.64 57.79 58.20 58.94 55.85 56.24 57.32 58.46 59.12 57.69 56.75 57.80 58.95 56.32 57.83 58.44 57.83 58.45 58.32 58.48 59.49 57.77 57.73 56.50 57.25 54.99 58.60 59.90 57.11 58.04 58.62 59.85 59.20 58.53 57.66 59.23 59.65 56.76 58.03 57.14 59.56 60.39 57.43 58.10 57.29 57.38 59.42 57.67 58.24 57.22 58.17 57.47 57.07 58.06 60.44 58.71 59.16 58.13 58.82 59.59 58.61 56.49 58.32 58.67 60.35 58.05 60.02 59.38 59.36 58.09 57.15 56.53 55.26 58.40 56.85 58.61 59.64 57.66 56.22 56.62 57.59 59.43 57.30 58.70 58.73 58.06 59.62 58.72 57.67 57.88 55.98 59.70 58.10 57.01 59.80 58.60 57.69 59.85 57.53 59.41 57.73 58.19 58.24 56.22 59.63 57.89 58.55 58.97 58.18 58.95 59.29 58.60 59.32 57.32 58.22 57.29 56.54 58.10 57.64 56.39 57.31 57.25 58.34 57.82 60.20 60.54 56.88 56.61 58.64 58.35 58.41 56.83 59.09 58.22 57.85 56.35 57.84 56.41 56.31 60.36 56.36 56.97 58.09 56.26 57.49 57.52 58.06 57.17 56.08 57.64 57.54 57.72 59.44 57.94 57.85 58.89 59.62 56.79 58.62 58.75 58.70 56.10 56.39 59.95 58.00 57.81 60.02 59.80 59.31 58.01 58.85 58.75 56.68 56.86 56.66 56.49 57.75 60.02 56.33 58.15 58.88 60.19 57.57 57.54 59.31 57.47 56.19 58.13 57.28 58.23 57.88 60.41 58.06 58.07 57.16 59.60 57.77 58.50 58.85 59.16 57.14 58.13 57.31 58.37 58.34 58.52 58.31 58.01 57.68 57.51 60.26 58.46 60.14 58.53 56.91 58.03 60.06 58.99 59.34 56.49 58.79 57.87 57.24 58.45 58.63 58.40 58.64 57.81 58.54 57.73 59.12 58.74 58.79 56.93 58.48 57.68 57.74 59.06 56.53 58.41 59.36 57.68 58.42 55.27 58.67 58.98 57.99 57.85 58.10 57.48 58.66 60.20 58.38 59.32 58.31 57.53 57.55 59.15 59.05 57.86 57.40 56.67 57.78 56.76 57.26 58.90 56.10 58.64 58.45 57.79 57.00 57.08 58.61 59.18 59.52 57.28 57.44 57.57 56.03 59.24 57.11 57.32 57.28 57.41 58.61 58.47 57.60 59.79 59.35 59.78 57.06 58.66 58.45 58.48 57.73 58.41 58.25 57,46 58.72 58.69 58.01 58.69 57.17 58.39 58.59 59.32 57.48 57.80 57.90 58.73 59.32 59.18 56.77 59.13 57.64 57.99 57.95 58.66 57.08 57.53 57.33 58.15 59.25 58.34 57.30 56.49 58.15 56.84 56.79 59.01 57.86 58.47 56.98 59.64 56.47 58.99 59.45 57.54 57.53 58.91 59.41 57.37 57.42 56.66 58.82 59.14 55.49 57.79 59.19 57.07 57.27 57.55 57.58 58.21 58.06 56.08 57.30 58.67 57.98 57.57 58.72 58.74 56.78 55.75 58.02 57.76 57.66 56.45 59.69 56.41 57.98 58.23 59.63 57.54 58.53 55.96 59.17 60.88 55.56 57.85 57.86 57.56 59.83 57.44 57.14 59.90 55.87 56.90 58.99 59.73 57.86 57.70 59.36 57.23 57.42 58.66 57.22 58.10 56.67 57.54 56.34 57.85 57.63 57.13 56.67 56.95 59.38 59.24 59.00 56.55 57.67 58.86 58.94 59.10 56.17 58.34 57.16 57.03 57.16 57.79 58.74 59.52 58.88 58.18 57.78 59.16 59.65 57.57 58.58 59.14 57.90 57.90 57.97 59.13 55.94 58.41 57.87 57.66 58.77 58.55 59.67 58.05 56.98 58.16 59.13 57.88 57.32 59.02 57.39 57.62 57.43 55.12 58.27 58.48 57.80 57.78 57.94 58.87 59.93 59.39 58.53 58.00 57.02 56.93 59.72 57.33 57.66 58.51 59.34 58.53 61.11 57.68 57.80 56.82 56.32 61.87 62.19 62.30 63.97 60.59 62.17 65.66 62.44 62.51 61.96 64.72 62.61 63.22 62.57 57 23 58.65 59.05 58.74 56.93 55.36 57.77 57.28 59.48 57.13 59.70 57.74 56.99 58.74 57.12 57.40 56.64 58.06 57.35 57.81 57.36 57.98 58.74 57.82 56.53 58.55 56.20 58.06 52.03 52.87 53.09 52.58 51.75 53.31 53.81 52.68 53.72 52.87 52.98 52.09 50.73 55.41 56.19 55.55 54.85 54.45 55.83 56.32 54.24 55.25 54.69 55.81 54.57 54.57 54.64 57.45 57.71 57.70 57.58 58.39 59.53 56.84 57.95 58.08 57.13 57.26 56.77 58.32 58.44 59.29 58.11 58.68 57.72 56.70 60.24 58.47 62 58.02 54.85 56.24 Big Fuzz carefully keeps track of how many orders they receive each week for new tennis balls. If the number of orders per week increases or decreases over time, then the weekly output must be adjusted. Data from the last 72 weeks has been provided for you. Use the first 20 observations as the base period and draw a c chart with the data. a) What is the value of c? b) What is the value of the LCL & UCL on the c chart? c) (MCQ) Which of the following statements best describes the c chart? 1) No alarms during Phase 1 or Phase 2. The process appears to be in control. 2) Alarm(s) during Phase 1, so the chart is invalid. 3) No alarms during Phase 1, but there are alarm(s) during Phase 2. We have evidence the process is now out of control. d) (MCQ) What assumptions about the data are you required to make? Select ALL correct answers. 1) The process was in control during Phase 1. 2) The data is Binomial. 3) The data is Poisson. 4) The data is normally distributed