Problem 10-12 The time needed for checking in at a hotel is to be Investigated. Historically, the process has had a standard deviation equal to 146. The means of 39 samples of 1 = 16 are Sample Mean Sample Mean Sample 1 3.86 11 3.88 21 2 3.90 12 3.86 22 3 3.83 13 3.88 23 4 3.81 14 3.81 24 5 3.84 15 3.83 25 6 3.83 16 3.86 26 7 3.87 17 3.82 27 8 3.88 18 3.86 28 9 3.84 19 3.84 29 10 3.80 20 3.87 30 Mean Sample Mean 3.84 31 3.88 3.82 32 3.76 3.89 33 3.83 3.86 34 3.77 3.88 35 3.86 3.90 36 3.80 3.81 37 3.84 3.86 38 3.79 3.98 39 3.85 3.96 2-1. Construct an -chart for this process with three-sigma limits. (Do not round Intermedlate calculations. Round your answers to 2 decimal places.) UCL LCL a-2. Is the process in control? 9 10 3.84 3.80 19 20 3.84 3.87 29 30 39 3.98 3.96 3.85 2-1. Construct an 1 -chart for this process with three-sigma limits. (Do not round Intermediate calculations. Round your answers to 2 decimal places.) UCL LCL a-2. Is the process in control? Yes b. Analyze the data using a median run test and an up/down run test. What can you conclude? Test Median Up/Down Conclusion (Click to select (Click to select