<P> As the desired value 250 of μ is within the resulted confidence interval, there is no reason to believe the machine is wrongly calibrated . </P> <P> The calculated interval has fixed endpoints, where μ might be in between (or not). Thus this event has probability either 0 or 1 . One cannot say: "with probability (1 − α) the parameter μ lies in the confidence interval ." One only knows that by repetition in 100 (1 − α)% of the cases, μ will be in the calculated interval . In 100α% of the cases however it does not . And unfortunately one does not know in which of the cases this happens . That is (instead of using the term "probability") why one can say: "with confidence level 100 (1 − α)%, μ lies in the confidence interval ." </P> <P> The maximum error is calculated to be 0.98 since it is the difference between the value that we are confident of with upper or lower endpoint . </P> <P> The figure on the right shows 50 realizations of a confidence interval for a given population mean μ . If we randomly choose one realization, the probability is 95% we end up having chosen an interval that contains the parameter; however, we may be unlucky and have picked the wrong one . We will never know; we are stuck with our interval . </P>

What is the lower bound of the 95 confidence interval