Estimation of measurement uncertainty in chemical analysis

Self-test 3.1

Now you can test whether you have understood the normal distribution and the related concepts well.

Which of the following statements about measurements, measurands, distribution functions and the normal distribution are correct?

1. If repeated measurements are performed and the distribution function is known then it is possible to exactly predict the value of every next measured value.

2. Results of repeated measurements of the same measurand are often normally distributed.

3. The maximum of the normal distribution curve corresponds to the mean value of the repeated measurement results if a large number of repetitions are made.

4. Standard deviation characterizes the scatter of the values obtained from repeated measurements.

5. Standard uncertainty is obtained by multiplying the standard deviation by a coverage factor.

6. If the result is normally distributed then the coverage factor 3 enables calculating expanded uncertainty with 100% coverage probability.

7. Which coverage factor has to be used in order to have expanded uncertainty estimate with confidence level of approximately 95%? It is known, that there is normal distribution.