87Sr/86Sr isotope ratios were measured in polar ice cores of varying sample size. The 95% confidence interval,

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87Sr/86Sr isotope ratios were measured in polar ice cores of varying sample size. The 95% confidence interval, expressed as a percentage of the mean 87Sr/86Sr isotope ratio decreased with increasing quantity of Sr measured:
87Sr/86Sr isotope ratios were measured in polar ice cores of

We postulate that the confidence interval is related to the mass of sample by the relation mR2 = Ks, where m is the mass of Sr in picograms, R is the confidence interval expressed as a percentage of the isotope ratio (R = 0.022 for the 955-pg sample), and Ks is a constant with units of picograms. Find the average value of Ks and its standard deviation. Justify why we expect mR2 = Ks to hold if all measurements are made with the same number of replications.

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