So let's say I do some measurements and obtain a set of measured values. The measurement is characterized by random errors so by making enough measurements, they approach a normal distribution. In other words, my set of measured values can be approximated by a normal distribution characterized by a mean and standard deviation calculated from the set. Thus, I have some 95% confidence interval for one standard deviation. Is it correct to say this: 'By making a new measurement, the probability of the obtained measured value to fall within the 95% confidence interval is 95%.' ?