A simple random sample of size n is drawn from a population that
is normally distributed. The sample mean x, is found to be
109, 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 29.
(b) Construct a 95% confidence interval about μ if the
sample size, n, is 16.
(c) Construct a 90% confidence interval about μ if the
sample size, n, is 29.
(d) Could we have computed the confidence intervals in
parts (a)-(c) if the population had not been
normally distributed?