5. Suppose there 180 observations on children with hyperactivity. Hyperactivity (H) measured by a "scale" instrument range is 0 to 30. A child is designated as "hyperactive" if his/her score is above 15. In order to enter the study, the children must score more than 20. The 180 were randomly assigned to three treatments ( 60 placebo, 60 ritalin, 60 "new" drug ). Evaluation based on hyperactivity score (H) measured at the end of the study end. If you are interested in answering the following questions: I. Do all three treatments have approximately the same effect? II. Is the new drug better than placebo? III. Is the new drug as good as ritalin? What kind of test statistics do you use? Explain why do you choose your test statistics. Please do not compute any test statistics. 6. The following association can be described by generalized linear models. For each one, identify the response variable and the explanatory variables, select a probability distribution for the response (justifying your choice) and write down the linear component. (a) The effect of age, sex, height, mean daily food intake and mean daily energy expenditure on a person's weight. (b) The proportion of laboratory mice that became infected after exposure to bacteria when five different exposure levels are used and 20 mice are exposed at each level. (c) The association between the number of trips per week to the supermarket for a household and the number of people in the household, the household income and the distance of the supermarket.