Pair 2 3 4 4 5 6 Treatment #1 100 250 50 80 150 150 Treatment #2 112 240 58 82 165 180 (a) (25 points total) Apply the signed-rank test to compare whether there is difference between the two treatments, using a = 0.05. You must provide your hypotheses clearly, calculate the test statistic, find the p-values by normal approximation (providing the detailed formula), and interpret the conclusions in the context of the problem.(b) (25 points total) Apply the signed test to compare whether there is difference between the two treatments, using a = 0.05. You must provide your hypotheses clearly, calculate the test statistic, nd the p-values by binomial distribution (providing the detailed formula), and interpret the conclusions in the context of the problem. Is your conclusion different from the one in part(a)