A random sample of 25 observations was taken from a normally distributed population. The average in the sample was 84.6 with a variance of 400.
A) Construct a 90% confidence interval for mu.
B) Construct a 95% confidence interval for mu.
C) Discuss why the 90% and 99% confidence intervals are different.
D) What would you expect to happen to the confidence interval in part A if the sample size was increased?