constant population size. 2. (12 points, 24 points cumulative) You wish to estim
ID: 3074772 • Letter: C
Question
constant population size. 2. (12 points, 24 points cumulative) You wish to estimate the number of individuals of a particular species that live in a one-hectare study area (100 meters [m] on a side 10,000 m*). You count all the individuals in five 20 x 10 m plots and get the following numbers: 16. 20, 12, 14, and 18 (mean 16; variance 10). a. What proportion of the total area do your five samples represent? Circle one: 0.01 0.05 0.10 0.15 0.25 b. What is the closest estimate of the total number of individuals in the 1-ha study area? Circle one: 500 850 1200 1300 1700 c. A property of the Poisson (random) distribution is that the variance among samples is equal to the mean of the samples. From the counts in the five plots above, would you say that individuals, at the given scale of the sampling, appear to be (circle one): clumped random evenly spacedExplanation / Answer
We have total area of = 10000 metre Squares
(1) total area of five samples = 5 × 20 × 10 = 1000 metre squares
Proportion of the area ( five samples) = total area of five samples/ total area
= 1000/10000 = 0.10 metre squares
Answer :- 0.10
(2) As the mean is given as 16, so it means that per sample area 16 individuals live. And, the area is 20 × 10. So we have = 10000/ 20×10 = 50 such samples
So people living in 50 such samples = 50 × 16 = 800
Answer :- 850
(3) As we can see that different samples have different number of individuals,
Answer :- Random
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