Consider the duration of itching data located in Table 1. We want to assess the effectiveness of a drug in terms of reducing the duration of itching. We compare the drug to a placebo in order to account for the well-documented placebo effect. Answer the following parts using R or Stata . Provide a reasonable presentation and a correct interpretation of all results. 2 (a) Compare the effectiveness of the drug by discussing the mean and median durations for the two groups. Also, obtain and comment on the 1st and 3rd quartiles (Q1 and Q3) for both groups, and compute the variance and standard deviations for both groups. Does this information suggest that the drug is effective at reducing the duration of itching? (b) Construct side-by-side boxplots for the two groups. Comment on the results. (c) Construct side-by-side dotplots. Comment on the results. (d) Construct adjacent histograms. Comment on the shapes of the two distributions. (e) Based on all the information, do you think the drug effectively reduced the duration of itching for these people? Can we make an inference about its effectiveness in the population? Table 1: Duration of itching (hours) for patients receiving drug or placebo. Drug 199 143 113 225 176 144 87 120 100 173 Placebo 263 213 231 291 168 121 137 102 89 433