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Historical records show that over the period from 1650-1950 in Europe, outbreaks of a particular disease occurred between 0 and 4 times per decade with an average (mean) of 2.17 times and a standard deviation of 1.09. The number of outbreaks per decade over the 300-year (30-decade) period is shown in the table below. # of outbreaks # of per decade decades 0 3 1 4 2 10 3 11 4 2 Is the timing of outbreaks random, uniform or clumped? Conduct a hypothesis test. State a) Null and alternate hypotheses (1 mark) b) The type of test statistic and its value, showing all calculations. (5 marks) c) The associated P-value (2 marks) d) Your conclusion with respect to your statistical hypotheses. (1 mark) e) Your conclusion with respect to the timing of disease outbreaks. (2 marks)