The time needed for checking in at a motel is to be investigated. Historically, the process has had a standard deviation equal to 0121 The means of 39 samples of n 22 are Sanple Mean Sample Hean Sample Mean Sample 31 Mean 3.86 3.90 3.83 1 3.88 21 3.84 3.82 3.88 3.76 2. 12 3.86 22 32 13 3.88 3,81 3.83 23 3.89 33 3.83 3.81 14 3.86 24 34 3.77 3.84 3.83 15 25 3.88 35 3.86 16 3.86 3.82 26 3.90 36 3,87 17 27 3.81 37 3.84 3.88 18 3.86 28 3.86 3.79 3.84 19 3.84 29 3.96 39 2.85 10 3.80 20 3.87 30 3.96 Click here for the Excel Date File a-1. Construct an z-chart for this process with three-sigma limits. (Do not round intermediate calculations. Round your answers to 2 decimal places.) UCL LCL 0-2. Is the process in control? O Yes O No b. Analyze the data using a median run test and an up/down run test. What can you conclude? Test Conclusion Median Up/Down