A ponderosa pine forest in Colorado has a pine beetle infestation. The beetles bore into a tree and carry a fungus which ultimately kills the tree. Let p be the proportion of trees in the forest that are infested.If no preliminary sample is taken to estimate p, how large a sample is necessary to be 90% sure that a point estimate will be within a distance of 0.06 from p?A preliminary study of 58 trees showed that 19 were infested. How many more trees should be included in the sample to be 90% sure that a point estimate will be within a distance of 0.05 from p.

Solution: 1. From the given information, confidence level is 0.90 and E=0.06.

Answered: A ponderosa pine forest in Colorado has…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A ponderosa pine forest in Colorado has a pine beetle infestation. The beetles bore into a tree and carry a fungus which ultimately kills the tree. Let p be the proportion of trees in the forest that are infested.

If no preliminary sample is taken to estimate p, how large a sample is necessary to be 90% sure that a point estimate will be within a distance of 0.06 from p?
A preliminary study of 58 trees showed that 19 were infested. How many more trees should be included in the sample to be 90% sure that a point estimate will be within a distance of 0.05 from p.

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