Question

LDL - low density lipoprotien - cholesterol is considered the bad cholesterol. A pharmaceutical company conducts a clinical trial on people with high levels of LDL cholesterol. The trial involves a random sample of n=14 persons who have high levels of LDL. Each person has their LDL level measured prior to the beginning of the drug trial. Each person is then to take a new drug that is believed to lower ones LDL levels. After a period of 4-weeks, the LDL level of each person is measured again. The difference between the initial LDL level and the LDL-level four weeks after taking the drug is then computed. −0.68,−0.69,−0.52,−0.53,−0.02,−0.36,−0.57,−0.2,−1.13,−0.16,−0.5,−0.36,−0.89,−0.87 . Assuming the difference in the LDL-levels is Normally distributed, find a 94% confidence interval for μ, the mean difference in the LDL-level of a person after taking the drug for four weeks. Use at least four decimals for your lower and upper bounds. ≤μ≤

Answer 1