Problem A: The time needed for checking in at a hotel is to be investigated. The means of 39 samples of n = 14 are: Please use R-bar value of 0.78 for problem A Sample Mean Sample Sample Mean Sample 3.86 31 3.88 3.76 Mean Mean 1 2 3 4 5 6 7 8 9 10 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 3.88 3.86 3.88 3.81 3.83 3.86 3.82 3.86 3.84 3.87 21 22 23 24 25 26 27 28 29 30 3.84 3.82 3.89 3.86 3.88 3.90 3.81 3.86 3.98 3.96 32 33 34 35 36 37 38 39 3.83 3.77 3.86 3.80 3.84 3.79 3.85 a) Construct an X-bar chart for this process. Is the process in control? b) Calculate Cp of the process if customer specifications are USL = 4.0 and LSL = 3.80. Is the process capable? Problem B: Consider the following process consisting of multiple steps. The processing times for each step are also shown. 20% of the output from step 1 is fed back to itself for correcting it. The bad quality outputs from steps 2 and 3 is routed to a rework station. Analyze the process and answer the following questions: (a) Capacity of each step (b) Capacity of the process 5 min./unit 10 min./unit 15 min.lunit N 3 10% 2010 20% Rework 20 minut