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:

(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.

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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