Q1) Laboratory arbitrarily selected and tested 15 chicken eggs. In this sample, lab computed that mean amount of cholesterol as 204 milligrams and standard deviation as 10.2 milligrams. Create a 90% confidence interval for true mean amount of cholesterol in chicken eggs.

Number of boxes of Girl Scout cookies sold by each of girl scouts in a Midwestern city has distribution which is approximately normal with mean m =75 boxes and standard deviation s = 30 boxes.

a) Determine the probability that scout chosen at random sold more than 45 boxes.

b) Determine the probability that scout chosen at random sold between 70 and 85 boxes of cookies. SW

c) Determine the probability that sample mean number of boxes sold by random sample of 36 scouts is between 70 and 85 boxes of cookies.