A Random Sample of 25 Observations Was Taken from a Normally

Essay

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 99% 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? Be sure to explain your answer.