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(11(23 marks) A study was conducted to investigate the concentration of hydrophobic organic substances such as Aldrin in the Wolf River in Tennessee. Aldrin concertation measurements (in nanograms per litre) were taken downstream of an abandoned dump site that had previously been used by the pesticide industry to dispose of its waste products. It was expected that Aldrin concentration might have a nonhomogeneous vertical distribution in the river because of differences in density between these compounds and water and because of the adsorption of these compounds on sediments, which could lead to higher concentrations on the bottom. As a results water samples from surface, mid depth and bottom of the river were collected at random and measured for Aldrin concentration. The following data were obtained: Surface Mid-depth 3.08 5.17 3.58 6.17 3.61 4.31 4.35 4.7 3.67 4.87 5.47 4.35 At 5% level of signicance, test for a difference in mean Aldrin concentration among the three depth levels; if there is a difference identify which depth levels have produced the difference. (12 (15 marks) A study has been conducted to investigate the association between type II diabetes and incidence of chronic kidney disease (CKD). 100 people with type II diabetes and 100 people with no diabetes were recruited into the study and followed up for 10 years. The participants had normal kidney function at recruitment and the primary outcome was whether the patients develop chronic kidney disease during follow-up. The dataset is saved in the file CKD.csv and can be downloaded from CANVAS {under Project 2 folder). The dataset contains 200 rows (one row per patient) and three columns - Subject: subject number (not to be used In analysis) - Diabetes coded with 1 if the patient had type 2 diabetes at recruitment and 0 if the patient had no diabetes at recruitment. - CKD coded with 1 if the participant has developed CKD during followup and zero otherwise. (i) At the 5% level of signicance test for an association between Diabetes and CKD incidence. (ii) Calculate a 95% condence interval for the difference in proportions of patients with CKD in the diabetic vs nondiabetic group. (iii) Compare the results under points (i) and (ii) and formulate the conclusion. SH February 2021