Problem 5:
suppose you carry out an experiment to determine the value of t. your experiment yields a
value of 3.23. the actual value of it is known to be 3.141593 out to six decimal places. find the
percent relative error of your measurement.
because measurements can contain both random and systematic errors, we need a way of
deciding whether a measurement agrees with the expected or known value within the limits of
the precision of the measurement. there are two equivalent ways of making this
determination.
suppose a time measurements and its uncertainty are reported to be 3.46 + 0.05 s and the
accepted time is 3.59 s. unless there is a systematic error causing a disagreement between our