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Renfrew (1973) called it 'the radiocarbon revolution' in describing its impact upon the human sciences.Oakley (1979) suggested its development meant an almost complete re-writing of the evolution and cultural emergence of the human species.Organisms at the base of the food chain that photosynthesize – for example, plants and algae – use the carbon in Earth’s atmosphere.They have the same ratio of carbon-14 to carbon-12 as the atmosphere, and this same ratio is then carried up the food chain all the way to apex predators, like sharks.Atoms of the same element that have different numbers of neutrons are called isotopes. Most carbon on Earth exists as the very stable isotope carbon-12, with a very small amount as carbon-13.

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Libby of the University of Chicago in immediate post-WW2 years.

The decay of Carbon $ into stable Nitrogen $ does not take place in a regular, determined fashion: rather it is governed by the laws of probability and statistics formalized in the language of quantum mechanics.

As such, the reported half life of 30 \pm 40$ years means that $ years is the standard deviation for the process and so we expect that roughly $ percent of the time half of the Carbon $ in a given sample will decay within the time span of 30 \pm 40$ years.

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.




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