/100 ORES 5010 Homework 7 For Questions 1 - 4 include the following in your answers: a) The null and alternative hypothesis (2 points) b) The test statistic (10 points - you must show work to receive full credit) c) The critical value (3 points) d) You decision and conclusion (5 points) 1. Captopril is a drug designed to lower systolic blood pressure. When Subjects were tested with this drug, their systolic blood pressure readings (in mm Hg) were measured before and after the drug was taken, with the results below. Use the Wilcoxon signed ranks test to see if there is sufficient evidence to support the claim that captopril is effective in lowering systolic blood pressure? 5 6 7 8 9 10 11 12 Subject 1 2 3 4 182 193 209 185 155 169 210 Before 200 174 198 170 179 159 145 146 177 After 191 170 177 167 159 151 176 183 2. A study used X-ray computed tomography (CT) to collect data on brain volumes for a group of patients with obsessive-compulsive disorders and a control group of healthy persons. The following table shows the results (in mL) for volume of the right cordate. Use a 0.01 significance level and the Wilcoxon rank-sum test to test the claim that obsessive-compulsive patients and healthy patients have the same brain volumes. 0.308 0.407 0.463 0.210 0.455 0.334 0.304 0.287 0.340 0.344 0.288 0.305 Obsessive- Compulsive 0.519 0.501 0.334 0.476 0.402 0.483 0.413 0.349 0.460 0.429 0.594 0.445 Control Group 3. A study on the impact of a 35 mi/hr car crash on the head was conducted on 20 cars classified into 4 groups based on their size. The results of the study are reported below with the data in units of standard head injury condition (hic). Use the Kruskal-Wallis test with a 0.05 level of significance to test the hypothesis that the size of the car has an influence on the amount of head injury. Subcompact 681 428 917 898 420 Compact 643 655 442 514 525 Midsize 469 727 525 454 259 384 656 602 687 360 Full-size When nicotine is absorbed by the body, cotinine is produced. A measurement of cotinine is 4. therefore a good indicator of how much a person smokes. In the table below are the number of cigarettes smoked per day and the subjects' cotinine level (ng/ml). Use a significance levelof 0.05 and Sgearman's Rank correlation to determine if there is an association between the number of cigarettes smoked and the subjects' cotinine level. Cigarettes 60 10 4 15 10 1 20 8 7 10 10 20 (per day) Cotinine 179 283 75.5 174 209 9.51 350 1.35 43.4 25.1 408 344