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15 17 (c) The time needed for checking in at a hotel is to be investigated. Historically, the process has had a standard deviation equal to 0.146. The means of 26 samples of n=14 are shown below. Sample Mean Sample Mean 1 3.86 14 3.81 2 3.90 3.83 3 3.83 16 3.86 4 3.81 3.82 5 3.84 18 3.86 6 3.83 19 3.84 7 3.87 20 3.87 8 3.88 21 3.84 9 3.84 3.92 10 3.80 23 3.89 11 3.88 24 3.86 3.86 25 3.88 13 3.88 26 3.90 Overall Mean = 3.856 Construct an appropriate control chart for this process with three- sigma limits. ii. Plot the information and look for points and patterns. What can you conclude? 22 12