Ratio Application to Population Estimation: Capture, Mark, Release, Recapture Activity ProcedureTake 5 or 20 brown beans (you will be assigned). These represent your marked beans (the variable M). Record this # on the data sheet.Add them to the population in the cup. Mix them into the beans in the cup, and make a visual estimate of the population of the beans (which includes the ones that you just added). Record this # on the data sheet.Let the beans "frolic" (by inverting them with your hand covering the top) 10 times (think here - what is the purpose of this?).Recapture a small handful. Then write down the total number recaptured, and of those, the number that are marked (see data table). Return the handful to the cup and repeat steps 3-5 again until you have 5 samples recorded in the table.Calculate the average number of recaptured (n) marked (m).Calculate your scientific estimate (Ne) using the principle of ratios (M/Ne=m/n). Show your work!Then count the beans. Write down the actual number.Calculate the percent error: (Ne – actual #)/(actual#)When instructed, share your data for an analysis of how the % errors for those who marked 5 compared to the % errors for those who marked 20. Analysis QuestionsDescribe an assumption that we are making about the distribution of the beans after “frolicking,” and how that assumption supports using the recapture sample to estimate the population. If the reality does not match the assumption made above, explain how that could result in an estimate that is different from the real population. Recapture total number recaptured (n) number marked in recapture (m)Capture, Mark, Recapture Activity Data TableNumber of marked beans (M) at start of activity30event12528345293Total132I0Average26.42.Calculations: (Solve for N (the total population of beans), assuming that M/N-m/n)10(3230(ON = 30-132N= 3. 132Final Data from Activity# of beans% error (N, - actual)/actual31A - 437/437 - -15.9%Visual estimate232Scientific (calculated)estimate16%396234* 203 =437Actual numberPercent Error Data for Class (N - actual #) / (actual #)Average % errorNumber marked atbeginning40.1%25%20 30

When marked beans are added back to the population in the cup, the researcher ask to 'frolic' or mix…

Answered: Describe an assumption that we are…

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.3: The Addition And Subtraction Formulas

Problem 76E

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Question

Ratio Application to Population Estimation: Capture, Mark, Release, Recapture Activity

Procedure

Take 5 or 20 brown beans (you will be assigned). These represent your marked beans (the variable M). Record this # on the data sheet.
Add them to the population in the cup. Mix them into the beans in the cup, and make a visual estimate of the population of the beans (which includes the ones that you just added). Record this # on the data sheet.
Let the beans "frolic" (by inverting them with your hand covering the top) 10 times (think here - what is the purpose of this?).
Recapture a small handful. Then write down the total number recaptured, and of those, the number that are marked (see data table).
Return the handful to the cup and repeat steps 3-5 again until you have 5 samples recorded in the table.
Calculate the average number of recaptured (n) marked (m).
Calculate your scientific estimate (Ne) using the principle of ratios (M/Ne=m/n). Show your work!
Then count the beans. Write down the actual number.
Calculate the percent error: (Ne – actual #)/(actual#)
When instructed, share your data for an analysis of how the % errors for those who marked 5 compared to the % errors for those who marked 20.

Analysis Questions

Describe an assumption that we are making about the distribution of the beans after “frolicking,” and how that assumption supports using the recapture sample to estimate the population. If the reality does not match the assumption made above, explain how that could result in an estimate that is different from the real population.

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