You have just purchased some standardized samples of 8-hydroxyquinoline from a v

Question

You have just purchased some standardized samples of 8-hydroxyquinoline from a vendor. The samples are shipped as individual 100.0(2) mg samples; where the uncertainty is specified as being predominantly determinate (systematic) uncertainty. This implies that the mass of the samples in this batch have very little variation between them, but that every sample will have a mass either greater than or less than the nominal value of 100.0 mg. You order 17 samples and combine them into a single container. Considering the uncertainty (i.e. propagation of uncertainty!), report the total mass of the 17 samples in the single container.

PLEASE SHOW ALL WORK

Explanation / Answer

X(i) - Mass of sample 1

mean = 100 , dXi = 2

Y = X1 + X2 + ... X17

E(Y) = 17 * 100 = 1700

uncertainty in q = sqrt(2^2 + 2^2 + ... 17 times)

= sqrt(4*17)

= sqrt(68)

= 8.24621

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