Suppose the sample average is x=10 and the sample variance is s^2=25
a. If the sample size is n=400 give a 95% confidence interval for u, the mean of x?
b. If the sample size is n=100 explain why it is very unlikely that x is an exponential random variable?
c. If x is normal and the sample size is n=3 what is the 99% confidence interval for u^2?
d. If x is normal how large should the sample size be so that the 95% confidence interval for u is no large that [7,13]^2.
e. If x is normal give a 90% confidence interval for Var[x] if the sample size n=4?