2244-Test 2-Sample 9 Question 3. Acacia trees are known to participate in a mutu

Question

2244-Test 2-Sample 9 Question 3. Acacia trees are known to participate in a mutually beneficial relationship with ants; the trees give the ants shelter and food, while the ants help the trees during the tree's reproductive process. A community ecologist suspects that the level of benefit that the tree receives from ants is inversely related to the population size of ants inhabiting the tree. He knows that ant populations have an average size ofr 300 000(with standard deviation 1 160 000). He suspects that ant populations on Acacia trees that are in poor shape will have a higher average population size of ants. If the ecologist were to take a simple random sample of 60 Acacia trees and determine the ant population size on each of those trees, what is the probability that the mean ant population size would be greater than 525 000? A. B. C. D. E. 0.0668 0.1940 0.4247 0.9332 Not enough information for a valid answer.

Explanation / Answer

Mean = 300000

SD = 1160000

n = 60

z = (525000 - 300000)/1160000/60

z = 1.5

P(z > 1.5) = 0.0668 (from normal table)

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