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If greater likelihood is sought, we could look at the interval 30 \pm 80$ years, encompassing two standard deviations, and the likelihood that the half-life of a given sample of Carbon $ will fall in this range is a little over $ percent.

This task addresses a very important issue about precision in reporting and understanding statements in a realistic scientific context.

Calculations based on two standard deviations increases the possible date range, increasing the probability of the sample lying within this range to 95 percent.

There are two main factors which determine the precision of a radiocarbon date.This task examines, from a mathematical and statistical point of view, how scientists measure the age of organic materials by measuring the ratio of Carbon $ to Carbon $.The focus here is on the statistical nature of such dating.Modern accelerator mass spectrometry (used for radiocarbon dating purposes to separate radiocarbon atoms from stable carbon atoms and count them) is quite precise.The technology involved is fascinating and impressive.

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