Hydrology class (Civil Engineering) (hw4/q2) 2. Obtain annual precipitation dept
ID: 1709973 • Letter: H
Question
Hydrology class (Civil Engineering)(hw4/q2) 2. Obtain annual precipitation depths from the Internet (e.g., from the National Weather Service) for the full gauge record at a location of interest. Using this data, determine the following: (a) the mean, standard deviation, and skew coefficient for this data series; (b) the mean, standard deviation, and skew coefficient for the log-transformed data; (c) the goodness of fit of these data to the normal distribution (a 0.10, k 5); (d) the goodness of fit of these data to the log-normal distribution (a 0.10. k 5: (e) the 2-, 10-, 25- 50-, and 100-year precipitation depths and the 90-percent confidence limits for the normal distribution and the log-normal distribution; (f normal probability plot of the precipitation series with the theoretical (straight-line probabil- ity distribution and the 90-percent confidence band; and (g) log-normal probability plot of the precipitation series with the theoretical (straight-line)prob- ability distribution and the 90-percent confidence band.
Explanation / Answer
A B a) Cumulative (A) Monthly Precipitation (in inches) Log transformed data Cumulative (B) Mean 5.090667 20 20 1.301 1.301 SD 5.939272 35 15 1.176 2.477 Skew Coefficient 1.056022 3(Mean - median)/SD 45 10 1.000 3.477 Median 3 53 8 0.903 4.380 59 6 0.778 5.158 b) 64 5 0.699 5.857 Mean 0.234 68 4 0.602 6.459 SD 0.899554 71 3 0.477 6.937 Skew Coefficient -0.81068 3(Mean - median)/SD 73 2 0.301 7.238 Median 0.477 74.5 1.5 0.176 7.414 75.5 1 0.000 7.414 c) Value of alpha 76 0.5 -0.301 7.113 0.0733 > 0.05 Hence Ok 76.25 0.25 -0.602 6.511 d) Value of alpha for log normal 76.35 0.1 -1.000 5.511 0.0000 76.36 0.01 -2.000 3.511
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