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Math / Excursions in Modern Mathematics: Pearson New International Edition 8 / Chapter 14 / Problem 61

Excursions in Modern Mathematics: Pearson New International Edition | 8th Edition | ISBN: 9781292022048 | Authors: Peter Tannenbaum

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Imagine you have a very large coin jar full of nickels, dimes, and quarters. You would

Chapter 14, Problem 61

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QUESTION:

Imagine you have a very large coin jar full of nickels, dimes, and quarters. You would like to know how much money you have in the jar, but you dont want to go through the trouble of counting all the coins. You decide to estimate how many nickels, dimes, and quarters are in the jar using the two-sample estimation method. After shaking the jar well, you draw a first sample of 150 coins and get

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QUESTION:

Imagine you have a very large coin jar full of nickels, dimes, and quarters. You would like to know how much money you have in the jar, but you dont want to go through the trouble of counting all the coins. You decide to estimate how many nickels, dimes, and quarters are in the jar using the two-sample estimation method. After shaking the jar well, you draw a first sample of 150 coins and get

ANSWER:

Step 1 of 3

This problem is organized according to the two-sample method or capture-recapture method for estimating population. The two-sample method for estimating population size relies on three variables: (the number of tagged individuals), (size of the first sample), and

size of the second sample. Solving this proportion for gives an estimation for population.

In this situation, the first sample you pulled contained 45 nickels. This number represents the value in the proportion in ( 1 . The second sample you pulled had a total of 29 nickels; this represents the value of . Of these nickels in your second sample, there were 5 nickels marked so

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