A forester wanted to survey spruce trees on one face of a mountain in order to determine the percentage of spruce trees that were infested or were attacked by a very destructive insect known as the tomentosus. The forester obtained a map of the mountain and then subdivided the area of interest into 400 square grids with each square covering an area of 100 square metres. A simple random sample of 50 squares was selected, and for each selected square, the survey team determined the total number of spruce
A forester wanted to survey spruce trees on one face of a mountain in order to determine the percentage of spruce trees that were infested or were attacked by a very destructive insect known as the tomentosus. The forester obtained a map of the mountain and then subdivided the area of interest into 400 square grids with each square covering an area of 100 square metres. A simple random sample of 50 squares was selected, and for each selected square, the survey team determined the total number of spruce
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 27PFA
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A forester wanted to survey spruce trees on one face of a mountain in order to determine the percentage of spruce trees that were infested or were attacked by a very destructive insect known as the tomentosus. The forester obtained a map of the mountain and then subdivided the area of interest into 400 square grids with each square covering an area of 100 square metres. A simple random sample of 50 squares was selected, and for each selected square, the survey team determined the total number of spruce trees and the number of such trees that were infested or had been attacked by the tomentosus.
- What sampling design was used for this survey?
- If the tomentosus is believed to be evenly distributed throughout the face of this mountain, would you recommend this sampling design? Why or why not?
- If the tomentosus prefers to reside in regions of the mountain face with higher temperatures and hence lower elevations, would you recommend using a different sampling design? Explain your answer briefly.
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