Twerk Pharmaceutical is testing a new drug that it believes lowers the total cholesterol for men over the age of 50.

1. Twerk Pharmaceutical is testing a new drug that it believes lowers the total cholesterol for men over the age of 50. The researchers randomly assigned a sample of 120 men to one of two groups. One group would receive the new drug and the other a placebo. After six months, the average counts for the two groups would be compared to see if the drug is effective. The subjects’ weights, ages, smoking status (current, former, never), and level of physical activity (sedentary, light, moderate, frequent) were also considered in the data. Below are the counts for 30 men in the experimental group after the six-month trial. 167 183 197 191 170 171 174 182 190 181 208 178 195 200 182 184 172 166 175 184 169 167 181 165 167 203 188 208 179 210 (a) Identify an individual, the population, and the sample for this study. (b) Identify all variables measured in this study. Categorize each as qualitative, discrete, or continuous. (c) What is the parameter of interest for the researchers? What is the statistic? (d) Is this investigation an observational study or a designed experiment? Justify your response. (e) Use technology to construct a frequency histogram for the data. What shape best describes the distribution?