-3 -2 -1 0 2 -2 -1 0 2 -3 -2 -1 0 1 2 One Tail One Tail Two Tails one tail 0.100 0.050 0.025 0.010 0.005 two tails 0.200 0.100 0.050 0.020 0.010 df 3.08 6.31 12.71 31.82 63.66 1.89 2.92 4.30 6.96 9.92 1.64 2.35 3.18 4.54 5.84 1.53 2.13 2.78 3.75 4.60 1.48 2.02 2.57 3.36 4.03 1.44 1.94 2.45 3.14 3.71 1.41 1.89 2.36 3.00 3.50 1.40 1.86 2.31 2.90 3.36 1.38 1.83 2.26 2.82 3.25 1.37 1.81 2.23 2.76 3.17 1.36 1.80 2.20 2.72 3.11 12 1.36 1.78 2.18 2.68 3.05 13 1.35 1.77 2.16 2.65 3.01 14 1.35 1.76 2.14 2.62 2.98 1.34 1.75 2.13 2.60 2.95 1.34 1.75 2.12 2.58 2.92 1.33 1.74 2.11 2.57 2.90 1.33 1.73 2.10 2.55 2.88 19 1.33 1.73 2.09 2.54 2.86 20 1.33 1.72 2.09 2.53 2.85 21 1.32 1.72 2.08 2.52 2.83 22 1.32 1.72 2.07 2.51 2.82 23 1.32 1.71 2.07 2.50 2.81 24 1.32 1.71 2.06 2.49 2.80 25 1.32 1.71 2.06 2.49 2.79 1.31 1.71 2.06 2.48 2.78 1.31 1.70 2.05 2.47 2.77 86858 1.31 1.70 2.05 2.47 2.76 1.31 1.70 2.05 2.46 2.76 1.31 1.70 2.04 2.46 2.7512. In a study that investigates the impact of the Danish Action Plan for the Aquatic Environment, which addresses pollution of the Danish water resources, the concentration of nitrogen (measured in g=m3) was measured in a particular river in 1998, 2003, and 2011. Six measurements were randomly taken in each year. A summary of the nitrogen concentration is provided. We want to evaluate if mean of nitrogen concentrations do or do do not vary across years, using an ANOVA at the 5% significance level. a: 3 n 1998 5.55 0.486 6 2003 5.19 0.362 6 2011 4.05 0.673 6 (a) What are the conditions for ANOVA? Evaluate whether each of these conditions are satised In the context of these data. Note any additional information you would need to fully evaluate the conditions. (6 points) (b) Complete the following ANOVA table. Show any work in the space provided below, and insert final values in the table. {6 points). \f(d) State the conclusion of the hypothesis test in context (2 points). (e) If we were to conduct a pairwise post-hoc test for a difference between the average nitrogen concentrations between 1998 and 2003, what will be (calculate) the appropriate/modified significance level for the multiple comparision test? (3 points)