You're the operations manager at a regional hospital and your management has set the goal that...

Question:

 You're the operations manager at a regional hospital and your management has set the goal that no one should wait more than 3 minutes to see a nurse in the Emergency Room.  You've collected 40 samples of the average wait times at five different times during the day over 40 days as shown below. a. construct an x-bar chart for this data.  Is the process in control? b. using 3 minutes as the upper tolerance limit and zero as the lower tolerance limit, calculate the process capability statistics ( Cp, Cpk, Cpu and Cpl).  Is your process capable of achieving management's goal, based on the data? c.  What percentage of ER visits would you expect to exceed the Upper Tolerance Limit? Day 1 1.22 1.54 1.53 1.86 1.49 2 1.48 1.18 1.41 1.29 1.61 3 2.12 1.76 1.29 1.78 1.74 4 1.34 1.22 1.29 1.69 1.42 5 1.11 1.21 3.60 1.95 1.22 6 0.73 1.97 1.51 1.67 1.77 7 1.20 1.46 1.05 3.55 1.80 8 1.72 1.58 1.79 1.95 0.83 9 1.23 3.10 1.57 1.49 1.58 10 0.70 0.94 1.14 1.54 1.81 11 1.50 1.83 1.60 1.15 1.79 12 1.72 1.61 1.63 1.84 1.95 13 1.64 1.13 1.60 1.87 1.36 14 0.73 1.39 1.39 1.85 1.86 15 1.72 1.42 1.59 0.70 1.55 16 1.91 2.08 1.64 2.05 1.60 17 1.63 1.57 0.95 2.02 1.69 18 1.53 1.47 2.05 1.19 1.52 19 1.18 1.78 3.20 1.53 1.30 20 1.74 2.14 1.24 0.92 1.34 21 1.47 1.89 1.53 2.28 1.84 22 1.68 1.35 1.26 3.20 1.63 23 0.99 1.57 1.45 1.50 1.98 24 1.92 1.01 0.93 1.68 1.96 25 3.13 1.57 1.75 1.72 1.63 26 1.13 0.99 1.27 1.35 1.37 27 1.87 1.74 0.89 1.61 1.77 28 0.99 1.36 0.89 1.54 3.30 29 1.75 1.96 1.57 1.67 2.31 30 1.59 2.15 3.10 1.42 1.50 31 0.93 1.65 1.29 1.02 1.48 32 1.40 1.98 1.54 0.97 1.62 33 1.69 1.62 1.47 1.81 0.97 34 1.98 1.26 1.32 1.17 1.39 35 3.25 1.42 2.06 1.27 1.34 36 1.45 1.57 1.70 1.32 1.26 37 1.98 1.61 1.45 1.46 2.19 38 1.46 1.46 1.70 1.56 1.93 39 1.80 1.34 1.46 3.40 1.10 40 1.04 1.29 1.30 1.77 1.13

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