Description
A few questions I want to see if i'm correct in.
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Explanation & Answer
Kindly see attached file with the step by step solution of the 5 problems
Problem 1.
The random or statistical error is given by the formula:
𝑠=√
∑(𝑥 − 𝜇) 2
𝑛
Where x represents the result obtained in each of the samples, µ is their average value and n is
the number of data. As can be observed, as we increase the value of n (that is, the number of
measurements) by repeating the experiment, the random error decreases.
In contrast, the systematic error is given by the formula:
𝐸𝑠𝑦𝑠𝑡 =
𝑥 −𝜇
∗ 100
𝜇
Where once more, x is the real measurement and µ is the expected real value. As can be
observed, this error is no longer dependent on the number of measurements but only on the
difference between the experimental and the theoretical value. As a consequence, it will
remain constant even if we increase the number of repetitions done of a given experiment.
Problem 2.
a) An inaccurate but precise result would be obtained if we don’t consider the error done
during the calibration. In this sense, all the obtained results will present a systematic
error of +1g, but since the calibration does not affect the repeatability of the balance
the obtained masses would still be precise.
b) An accurate and precise result for the mass would be obtained if we take the
systemat...