Question

ne that you are doing an experiment in order to determine the mass of an object t us say that as a result of the experiment, you determine that the best approximation of the mass is 83.45 g with a standard uncertainty of 0.34 g Et is sometimes convenient to write the result as 83.45t 0.34 g. The result 83.45 g0.34 g defines an interval on the "number line" (between 83,.11g to be f 79 g) in which we can expect a (large) fraction of the possible values of the mass (Remember that we can never know the "true" value of the mass.) ound. 83.00 83.10 83.20 83.30 83.40 83.50 83.60 83.70 83.80 83.90 grams What fraction of the possible values of the mass lie between 83.11 g and 83.79 g? Another way of asking this question is "How confident are you that the value of the mass lies between 83.11 g and 83.79 g? Remember that the standard uncertainty is related to the "averoge width" of the pof that you are using (see Appendix G for more details). The area of the pdf within the average width is about 68% of the total area of the pdf. (This is not strictly true, as it does depend of the particular pdf being used, although we don't make a distinction here.) p(m) Area- 0.68 m (g) 83.45+0.34g The shaded area in the pdf above is the area within one standard approximation. We call this area, expressed as a percentage, the coverage probability (or level of confidence). uncertainty of the best

Answer 1

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