2. A 95% confidence interval for the MEAN recovery time after a certain major surgery is

2.
A 95% confidence interval for the MEAN recovery time after a certain major
surgery is (100, 130) days.  

           
a) Find the sample mean used to form the interval.

b) Find the margin of
error.

c) Assume that the population
standard deviation is 40.  Determine the sample size needed to create the
confidence interval (110, 130) with the margin of error you found in part b.