A simple random sample of size n is drawn from a population that
is normally distributed. The sample mean, x is found to be
114, and the sample standard deviation, s, is found to be
10.
(a) Construct a 95% confidence interval about
μ if the sample size, n, is 25.
(b) Construct a 95% confidence interval about
μ if the sample size, n, is 29.
(c) Construct a 98% confidence interval about
μ if the sample size, n, is 25.
(d) Could we have computed the confidence
intervals in parts (a)-(c) if the population had not been
normally distributed?