(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Estimate the absolute and relative standard deviations of the following calculations. The number in parentheses is the standard deviation of the preceding value.

a) z=5.64(s=0.14)*log(138)(s=3)

2. Relevant equations

S_{x}/x =SQRT((S_{p}/P)^{2}+(S_{q}/q)^{2}+(S_{r}/R)^{2}

S_{x}=0.434(S_{p}/P)

3. The attempt at a solution

I thought of two ways to go about the problem I am not sure which way is correct here are both attempts:

log(138)= 2.139

Z=12.069

S_{Z}=SQRT((0.14/5.64)^{2}+(3.0/2.139)^{2})=1.40

Z=12.07 [tex]\pm[/tex]1.40

RSD=(1.4/12.07)*100 =11.6%

Or my other attempt:

Z=12.07

(0.14/5.64)^{2}+(0.434*(3.0/138))=0.01

Z=12.07[tex]\pm[/tex]0.01

RSD=(0.01/12.07)*100=0.08%

Are either of these ways correct? Any help would be appreciated. Thanks.

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# Homework Help: Error Propagation

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