You may use your book, notes, slides. Do your own work. A physician designs a study to determine if a new medication seems to lower cholesterol levels. Thirty-six patients who are diagnosed with high cholesterol are randomly selected, and their cholesterol levels are checked and recorded as C1. These same patients take the new medication for six months. Their cholesterol levels are then checked again and recorded as C2. Using C1 - C2, the mean of the differences in cholesterol levels is computed to be 16.7 ml and the standard deviation of the differences is computed to be 25.4 ml. Does the medication appear to lower cholesterol? Let a =.02. a) State and verify that each condition has been met. bj Show the hypotheses and designate the claim. c) Test statistic Show formula and work below. d) p-value_ e) decision_ f) Give the formal interpretation of the inference g) Find the appropriate confidence interval to one decimal place. Show work. h) Give the formal interpretation of the confidence interval