Hurricane Katrina was the most devastating hurricane to hit the United States in the last 100 years. Katrina was an Atlantic based hurricane category 5 that reached wind velocity of more than 160 miles per hour. In booksite.elsevier.com/9780124171138, you will find 63 measurements of the wind velocity of Katrina. Using the subject data perform the following analysis:
(a) We believe that the measurements of the wind velocity measurements of hurricane Katrina follow the three parameter Weibull pdf. Test this belief using:
(i) The Kolmogorov-Smirnov goodness-of-fit test.
(ii) The Anderson-Darling goodness-of-fit test Using α = 0.05
(b) Discuss the results of (i) and (ii) above. What conclusion have you reached about our belief?
(c) If our belief is correct, write the complete form of the pdf that characterizes the behavior of the wind velocity of hurricane Katrina.
(d) If in the future we experience a category 5 hurricane, what would the expected velocity be of such a hurricane?