Question

I wish to estimate µ, the mean of a population. After I collect and an-
alyze the data, I obtain an estimate for µ of 15.2 with a 95% confidence
interval of (14.1, 16.3).

The meaning of the confidence interval is:
{ a) The intervals were computed in such a way that if we
repeatedly drew sample from the population, for about 95%
of these sample, the sample mean would lie in the interval
(14.1, 16.3).
{ b) The interval was computed in such a way that if we re-
peatedly drew samples from the population and computed a
new condence interval based on each sample, about 95% of
these itervals would contain the true value of µ.
{ c) There is a 95% chance lies in the interval (14.1, 16.3).

Answer 1

Ans :

{ b) The interval was computed in such a way that if we re-
peatedly drew samples from the population and computed a
new condence interval based on each sample, about 95% of
these itervals would contain the true value of µ.