The time needed for checking in at a motel is to be investigated. Historically, the process has had a standard deviation equal to 0.172. The means of 39 samples of n = 21 are Sample Sample Sample Mean Sample 3.88 Mean 4 mino Mean 3.86 3.90 3.83 3.81 3.84 3.83 3.87 3.88 3.84 3.80 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 3.86 3.88 3.81 3.83 3.86 3.82 3.86 3.84 3.87 3.84 3.82 3.89 3.86 3.88 3.90 3.81 3.86 3.98 3.96 6 7 8 9 10 Mean 3.88 3.76 3.83 3.77 3.86 3.80 3.84 3.79 3.85 33 34 35 36 37 38 39 00 Click here for the Excel Data Flle a-1. Construct an o-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? Conclusion Test Median Up/Down