Use the data given for the Southern Region of the United States perform the same analysis as the Northern Region, Exercise 7.5.3, with the normal pdf replaced with the beta pdf.
Exercise 7.5.3
(a) Construct a histogram of the yearly average rainfall for the Northern Region. Does the histogram give you any visual indication of the type of pdf that the data follows?
(b) Using the Kolmogorov-Smirnov goodness-of-fit test, verify if the subject data follows the normal pdf for α = 0.05.
(c) If you have proven that the data follows the normal pdf, what is the expected rainfall for a given year? Also, calculate a 95% confidence limits for the true average rainfall and interpret its meaning.
(d) Calculate P-P plot and interpret its visual meaning with respect to part b).