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This assignment is somewhat involved but it should help you gain practice and experience with the application of the KS Test.
Each data set has 36 values in it. The data sets represent monthly rainfall in Eugene from 1973-75, 1983-85, and 1993-95.
Please do this exercise in the following order:
Now combine all three data sets into one average data set and find the best fitting Normal Distribution to that data. In this case, comparing 36 points against a model, Dmax should be less than 0.23 for the model to be acceptable.
Here you go.
Data Set 1: 12.8 8.4 12.5 2.5 1.1 0.4 1.4 0.4 0.1 1.6 6.4 9.3 6.9 6.8 7.6 2.9 2.2 0.9 1.2 2.1 0.1 5.7 8.5 7.1 9.8 7.6 6.2 1.9 0.9 0.2 0.4 2.0 1.1 1.9 1.3 1.2 Data Set 2: 6.8 12.3 10.6 3.4 1.8 1.8 1.8 3.2 0.5 1.4 13.1 7.5 2.1 9.6 6.4 5.4 3.9 3.9 0.3 0.1 0.9 6.1 18.7 4.6 0.3 5.1 5.7 0.5 1.5 2.5 1.4 0.1 2.1 4.8 6.3 3.5 Data Set 3: 6.9 2.6 8.6 7.9 6.9 3.7 1.1 1.8 0.1 1.5 2.0 10.8 5.5 5.5 5.5 2.0 1.6 1.1 0.1 0.1 2.1 7.5 9.6 6.1 15.4 3.8 6.4 5.6 2.1 2.3 1.1 1.0 1.1 3.9 9.5 13.4 Guassian Model Data (Generic; Mean = 0 sd = 1): -1.33 -1.28 -1.21 -1.13 -1.02 -0.91 -0.77 -0.61 -0.44 -0.24 -0.04 0.17 0.39 0.61 0.82 1.01 1.17 1.31 1.41 1.48 1.50 1.48 1.41 1.31 1.17 1.01 0.82 0.61 0.39 0.17 -0.04 -0.24 -0.44 -0.61 -0.77 -0.91 -1.02 -1.13 -1.21 -1.28 -1.33 Gaussian Model Data (Specific Example; Mean = 3.5 sd = 4.0) -1.83 -1.61 -1.34 -1.00 -0.60 -0.12 0.43 1.05 1.76 2.52 3.34 4.20 5.07 5.93 6.76 7.52 8.19 8.75 9.16 9.41 9.50 9.41 9.16 8.75 8.19 7.52 6.76 5.93 5.07 4.20 3.34 2.52 1.76 1.05 0.43 -0.12 -0.60 -1.00 -1.34 -1.61 -1.83