In: Statistics and Probability
A simple random sample of size n is drawn from a population that is normally distributed. The sample mean,
x overbarx,
is found to be
114114,
and the sample standard deviation, s, is found to be
1010.
(a) Construct
anan
80%
confidence interval about
muμ
if the sample size, n, is
19.
(b) Construct
anan
80%
confidence interval about
muμ
if the sample size, n, is
28.
(c) Construct
aa
96%
confidence interval about
muμ
if the sample size, n, is
19.
(d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed?