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In a hypothetical scenario, the National Institute of
Chapter 3, Problem 7E(choose chapter or problem)
In a hypothetical scenario, the National Institute of Standards and Technology has received a new replica of The Kilogram. It is weighed five times. The measurements are as follows, in units of micrograms above 1 kg: 114.3, 82.6, 136.4, 126.8, 100.7.
a. Is it possible to estimate the uncertainty in these measurements? If so, estimate it. If not, explain why not.
b. Is it possible to estimate the bias in these measurements? If so, estimate it. If not, explain
why not.
Questions & Answers
QUESTION:
In a hypothetical scenario, the National Institute of Standards and Technology has received a new replica of The Kilogram. It is weighed five times. The measurements are as follows, in units of micrograms above 1 kg: 114.3, 82.6, 136.4, 126.8, 100.7.
a. Is it possible to estimate the uncertainty in these measurements? If so, estimate it. If not, explain why not.
b. Is it possible to estimate the bias in these measurements? If so, estimate it. If not, explain
why not.
ANSWER:
Answer
Step 1 of 2
The given information is 114.3, 82.6, 136.4, 126.8, 100.7
a) Yes, we can find the uncertainty in these measurements
Now we have to find the uncertainty for that we need find the mean and standard deviation
Mean(=
=560.8/5
=112.2
SD(=
=21.3
The uncertainty for these measurements is 112.221.3 micrograms