The article “Calibration of an FTIR Spectrometer”describes the use of a spectrometer to make five measurements of the carbon content (in ppm) of a certain silicon wafer whose true carbon content was known to be 1.1447 ppm. The measurements were 1.0730, 1.0825, 1.0711, 1.0870, and 1.0979.
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.
(a) Yes, the uncertainty can be estimated with the standard deviation of the five measurements, which is 0.0109 ppm.
(b) Yes, the bias can be estimated to be the average measurement minus the true value. This difference is —0.0624 ppm.
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