Question 1: High cholesterol level in people can be reduced by exercise or by drug treatment. A pharmaceutical company has developed a new cholesterol-reducing drug. Researchers would like to compare its effects to the effects of the cholesterol-reducing drug that is currently available on the market. Volunteers who have a history of high cholesterol and who are currently not on medication will be recruited to participate in a study. (a) At this time, the company only has resources to test the effects of the drug treatment. Explain how you would carry out a completely randomized experiment for the study. (b) Describe an experimental design that would improve the design in (a) by incorporating blocking. (c) Can the experimental design in (b) be carried out in a double blind manner? Explain. d) Describe a method for implementing your design in part (c).e) What inference procedure would you use to compare the results obtained by method (a)? () After the method in part (a) was carried out, researchers found a difference with a p-value of 0.003 (in favor of the new medication over the old drug). Does this mean that the researchers can conclude that drug caused a reduction in cholesterol? g) Identify the subjects, the treatment(s), the factor(s), the level(s), and the response variable in this experiment. h) After an increasing in funding, the company is able to run an experiment where they test both the drug treatment and the effects of exercise. They decide to ask volunteers to exercise at a high level, a low level, or not all. Describe the factors, their levels, and the treatments of this expanded experiment. Question 2 Trains carry bauxite ore from a mine in Canada to an aluminum processing plant in northern New York state in hopper cars. Filling equipment is used to load ore into the hopper cars. When functioning properly, the actual weights of ore loaded into each car by the filling equipment at the mine are approximately normally distributed with a mean of 70 tons and a standard deviation of 0.9 ton. If the mean is greater than 70 tons, the loading mechanism is overfilling. (@) If the filling equipment is functioning properly, what is the probability that the weight of the ore in a randomly selected car will be 70.7 tons or more? Show your work.(b) Suppose that the weight of ore in a randomly selected car is 70.7 tons. Would that fact make you suspect that the loading mechanism is overfilling the cars? Justify your answer. (c) If the filling equipment is functioning properly, what is the probability that a random sample of 10 cars will have a mean ore weight of 70.7 tons or more? Show your work. (d) Based on your answer in part (c), if a random sample of 10 cars had a mean ore weight of 70.7 tons, would you suspect that the loading mechanism was overfilling the cars? Justify your answer. f) Given the initial mean and standard deviation, how full are the most heavy 10% of the cars? 1V / VI WIC LOIS : g) Describe the sampling distribution of the sample mean, if a sample of size 10 were chosen. h) If we took a random sample of 40 cars instead of 10, how would that change your answer to part (g)