Please show answers with all steps. For data please see the attached file.
There is supposed to be a separate executive summary, covey style, no margin notes and a separate document with statistical test for case.
"Was the draft lottery random?
a. Use the runs test to test the sequence for randomness above and below the median of 183.5
Use the Kruskal-Wallis test to test the claim that 12 months had priority numbers drawn from the same population.
Calculate the 12 monthly means on a graph.
The horiz scale lists the 12 months and the vertical scale ranges from 100 to 260) Note any pater suggesting that the original priority numbers were not randomly selected.
Based on the results from parts a. b, c, decide whether this particular draft lotter was fair. Write a statement either supporting your position that it was fair or explain why you believe that it was not fair. If you decided that this lotter was unfair, describe a process for selecting lotter numbers that would have been fair.
See attached file for full problem description.
Kruskal-Wallis Non-Parametric test is applied to check the randomness of lottery.