12. An archaeologist uses an accelerator mass spectrometer to find the age of a

Question

12. An archaeologist uses an accelerator mass spectrometer to find the age of a buried branch. At the 68% confidence level, the spectrometer estimates that the branch was 10,000 years old with a following could the spectrometer estimate as the age of the branch at the 95% confidence level? margin of error o f 200 vears. Which of the with a margin of error of 500 years A. B. C. D. 9,500 years old, 10,000 years old, with a margin of error of 400 years 9,500 10,000 years old, with a margin of error of 40 years years old, with a margin of error of 50 years

Explanation / Answer

The margin of error is directly proportional to the z score used which increases with an increase in the confidence interval. Therefore as the confidence interval increases from 68% to 95%, the margin of error increases. Therefore c) and d) are incorrect here.

The point estimate remains the same. Therefore 10,000 is the point estimate as it remains the same.

Therefore B is the correct answer here.

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