The time needed for checking in at a hotel is to be investigated. Historically, the process has had astandard deviation equal to .146. The means of 39 samples of n = 14 areSample Mean Sample Mean Sample Mean Sample Mean1 3.86 11 3.88 21 3.84 31 3.882 3.90 12 3.86 22 3.82 32 3.763 3.83 13 3.88 23 3.89 33 3.834 3.81 14 3.81 24 3.86 34 3.775 3.84 15 3.83 25 3.88 35 3.866 3.83 16 3.86 26 3.90 36 3.807 3.87 17 3.82 27 3.81 37 3.848 3.88 18 3.86 28 3.86 38 3.799 3.84 19 3.84 29 3.98 39 3.8510 3.80 20 3.87 30 3.96a. Construct an x¯ -chart for this process with three-sigma limits. Is the process in control?b. Analyze the data using a median run test and an up/down run test. What can you conclude?
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 n = 14 are
Sample Mean Sample Mean Sample Mean Sample Mean
1 3.86 11 3.88 21 3.84 31 3.88
2 3.90 12 3.86 22 3.82 32 3.76
3 3.83 13 3.88 23 3.89 33 3.83
4 3.81 14 3.81 24 3.86 34 3.77
5 3.84 15 3.83 25 3.88 35 3.86
6 3.83 16 3.86 26 3.90 36 3.80
7 3.87 17 3.82 27 3.81 37 3.84
8 3.88 18 3.86 28 3.86 38 3.79
9 3.84 19 3.84 29 3.98 39 3.85
10 3.80 20 3.87 30 3.96
a. Construct an x¯ -chart for this process with three-sigma limits. Is the process in control?
b. Analyze the data using a median run test and an up/down run test. What can you conclude?
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