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A 2004 study conducted at Utah Lake using the capturerecapture method estimated the carp
Chapter 14, Problem 14(choose chapter or problem)
A 2004 study conducted at Utah Lake using the capturerecapture method estimated the carp population in the lake to be about 1.1 million. Over a period of 15 days, workers captured, tagged, and released 24,000 carp. In the recapture phase of the study 10,300 carp were recaptured. Estimate how many of the carp that were recaptured had tags. [Source: Brett Prettyman, With Carp Cooking Utah Lake, Its Time to Eat, Salt Lake Tribune, July 15, 2004, p. D3.]
Questions & Answers
QUESTION:
A 2004 study conducted at Utah Lake using the capturerecapture method estimated the carp population in the lake to be about 1.1 million. Over a period of 15 days, workers captured, tagged, and released 24,000 carp. In the recapture phase of the study 10,300 carp were recaptured. Estimate how many of the carp that were recaptured had tags. [Source: Brett Prettyman, With Carp Cooking Utah Lake, Its Time to Eat, Salt Lake Tribune, July 15, 2004, p. D3.]
ANSWER:Step 1 of 3
We need to estimate the number of carp recaptured had tags. Since in this problem the number of samples relies on three variables we will use two sample methods or capture recapture method.
By definition the method is
where and are first and second sample size