Which of the following are correct statements about the 95% confidence interval
[a,
b]
for ì?
(a) The probability of
ì
lying in the interval
[a, b]
is 0.95.
(b) The endpoints á and
b
will not change with different random samples, but ì
might change, so we are only 95% certain that ì lies in
[a, b].
(c) If 100 identical experiments are performed and 100 confidence intervals
[a, b]
are constructed, then ì will lie in the interval
[a, b]
exactly 95 times.
(d) The width of the confidence interval
[a, b]
will be the same for two random
samples.
(e) The endpoints
a
and
b
are random variables since they may change with different
random samples.
(f) If 10 identical experiments are performed and 10 confidence intervals are constructed,
then the probability that 9 of the intervals contain
ì
is (0.95)9(0.05).