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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.This has implications for the other tasks on Carbon 14 dating which will be addressed in ''Accuracy of Carbon 14 Dating II.'' The statistical nature of radioactive decay means that reporting the half-life as 30 \pm 40$ is more informative than providing a number such as 30$ or 00$.Not only does the $\pm 40$ years provide extra information but it also allows us to assess the reliability of conclusions or predictions based on our calculations. Some more information about Carbon $ dating along with references is available at the following link: Radiocarbon Dating The half-life of Carbon $, that is, the time required for half of the Carbon $ in a sample to decay, is variable: not every Carbon $ specimen has exactly the same half life.The proportion of argon to radioactive potassium in the sample today is observable, and the decay constant of potassium is readily calculable by measuring the amount of argon produced from the decay of K after a specified time.But the age of the rock and the proportion of argon to radio-potassium in the sample originally are not observable.
Other resources report this half-life as the absolute amounts of 30$ years, or sometimes simply 00$ years.This is not an example of malfeasance, but rather the result of assuming that the theory of evolution has been proved reliable, and therefore these seeming anomalies are due to contamination or other causes of analytical error.These out of place fossils or rocks are not considered a reason to question the theory.The formula below is a proper model that admits the possibility that some daughter isotope was present when the rock formed: where D is the amount of daughter isotope present at start.In order to simplify the formula, scientists generally assume that igneous rock contains no argon when it forms, because the argon, being a noble gas, would escape from the cooling lava. Fresh volcanic rock is routinely found to have argon in it when it first cools.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.This makes independent testing of these dating methods impossible, since published discrepant dates are rare.Creationists have responded to this challenge in varying ways and cited numerous problems with radiometric dating.These out of place fossils would seem to pose a problem for radiometric dating methods which are still calibrated based on the position of fossils (relative dates) in the geologic column.However, these fossils are not problematic if one simply disregards their existence.