Question

1. 8 pts.) The distribution of total body protein in adult men with liver cirrhosis is approximately Normal with mean 9.8 kg and standard deviation 0.1 kg. (a) If you take a random sample of 25 adult men with liver cirrhosis, what is the probability that their average total body protein is between 9.77 and 9.84 kg? (b) What is the total body protein level such that the probability is only 0.15 that the average total body protein for a random sample of 25 adult men with liver cirrhosis exceeds this level?

2. (5 pts.) A medical researcher treats 100 subjects with high cholesterol with a new drug. The average decrease in cholesterol level is = 80 after two months of taking the drug. Assume that the decrease in cholesterol after two months of taking the drug follows a Normal distribution with unknown mean  and standard deviation  = 20. Determine a 90% confidence interval for  .

Answer 1

Solution Giren tha 0.03 sing table Usint s+endand normol table e (ze 1.036) 0.85 Using z-scor formad g

2) Given tha S20 At 90% Confidence level -k trs, ベニ O.lo A 90 Confidence intr 2o 3.32 76.63.32