Question

Question 1 (20 pts). A measurement probes the percentage of decrement of a spectral peak by measuring the peak areas in two spectra, named So and Si. The percentage of decrement is calculated by AS- (So-SJ/SOX 100%. In 5 independent measurements, the obtained peak areas for So are 31.155, 29.967, 32.221, 34.085, and 30.095; and the peak areas for Sı are 15.995, 14.833, 19.081, 17.152, and 16.319. (1) (5 pts) Calculate the average values and standard deviations of So and Si. (2) (7 pts) Derive the error propagation for AS. (3) (8 pts) Report the final results for AS with both the value and the associated uncertainty. Which measurements contribute more significantly to the final results, So or Si and why?

Answer 1

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e moy 0 4703 003-Dy 00157 0-486 o .sos 403 0 o3so-0030 0-4703 | 0.4703-O'Y0%0.0633 0.404 0.96 0-023 4302 4703-0yst: 0.0133 0.0257)"4 10.013 6.29s x 3) Thus Pnal valve of As Ave rage valse + errol 二 0.4703土0.0493 -vom the value o so and , e can anu gnifcoaty to Ana

valve, becaue vorian of o is moye tha thot of St So that the valve o S volos om 9-34, L) UC O