(b) Calculate the Kolmogorov-Smirnov test-statistic. (c) Find the corresponding p-value, if the distribution of all possible permutations follows: k 0.1 0.2 0.3 0.4 0.5 P(KS; > k) 0.9945 0.7869 0.4175 0.1678 k 0.5 0.6 0.7 0.8 0.9 P(KS; > k) 0.1678 0.0524 0.0123 0.0021 0.0002 (d) State your conclusion in terms of the problem. (e) Give an intuitive explanation for the magnitude of the p-value (why is it so large/small)? . Consider another sample of people from the same career, but now they have worked at the career for 5 years: Men: 97.94, 98.05, 98.54, 99.88, 102.13, 106.18, 107.31