In booksite.elsevier.com/9780124171138., you will find the average yearly rainfall data in inches for the North, Central and Southern Region of the United States from 1975 to 2007. Using the North Region data, perform the following analysis:
(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).