A simple random sample of size n is drawn from a population that is normally distributed. The samplemean,
x overbar
,
is found to be
105
,
and the sample standarddeviation,s, is found to be
10
.
(a)Construct
an
80
%
confidence interval about
mu
if the samplesize,n, is
26
.
(b)Construct
an
80
%
confidence interval about
mu
if the samplesize,n, is
16
.
(c)Construct
a
70
%
confidence interval about
mu
if the samplesize,n, is
26
.
(d)Could we have computed the confidence intervals in parts(a)-(c)if the population had not been normallydistributed?
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