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An ecology laboratory studied tree dispersion patterns for the sugar maple, whose seeds
Chapter 8, Problem 8.2-14(choose chapter or problem)
An ecology laboratory studied tree dispersion patterns for the sugar maple, whose seeds are dispersed by the wind, and the American beech, whose seeds are dispersed by mammals. In a plot of area 50 m by 50 m, they measured distances between like trees, yielding the following distances in meters for 19 American beech trees and 19 sugar maple trees:
American beech: 5.00 5.00 6.50 4.25 4.25 8.80 6.50
7.15 6.15 2.70 2.70 11.40 9.70
6.10 9.35 2.85 4.50 4.50 6.50
sugar maple: 6.00 4.00 6.00 6.45 5.00 5.00 5.50
2.35 2.35 3.90 3.90 5.35 3.15
2.10 4.80 3.10 5.15 3.10 6.25
(a) Test the null hypothesis that the means are equal against the one-sided alternative that the mean for the distances between beech trees is greater than that between maple trees.
(b) Construct two box plots to confirm your answer.
Questions & Answers
QUESTION:
An ecology laboratory studied tree dispersion patterns for the sugar maple, whose seeds are dispersed by the wind, and the American beech, whose seeds are dispersed by mammals. In a plot of area 50 m by 50 m, they measured distances between like trees, yielding the following distances in meters for 19 American beech trees and 19 sugar maple trees:
American beech: 5.00 5.00 6.50 4.25 4.25 8.80 6.50
7.15 6.15 2.70 2.70 11.40 9.70
6.10 9.35 2.85 4.50 4.50 6.50
sugar maple: 6.00 4.00 6.00 6.45 5.00 5.00 5.50
2.35 2.35 3.90 3.90 5.35 3.15
2.10 4.80 3.10 5.15 3.10 6.25
(a) Test the null hypothesis that the means are equal against the one-sided alternative that the mean for the distances between beech trees is greater than that between maple trees.
(b) Construct two box plots to confirm your answer.
ANSWER:Step 1 of 3
Null hypothesis:
Alternative hypothesis:
Given data
For X
For Y
