Two thermometers are calibrated by measuring the freezing point of glacial acetic acid, which is 16.6°C. Equal numbers of measurements are taken with each thermometer. The result from the first thermometer is 16.4 ± 0.2°C and the result from the second thermometer is 16.8 ± 0.1°C.
a. Is it possible to tell which thermometer is more accurate? If so, say which one. If not, explain why.
b. Is it possible to tell which thermometer is more precise? If so, say which one. If not, explain why.
(a) No. Both measurements differed from the true value by 0.2°C, so we cannot tell which one is on the average closer to the true value.
(b) Yes, the second one is more precise because its uncertainty is smaller.
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