In Green Bay and Appleton, Wisconsin, the average height ofhemlock trees is normally distributed within each city.
Question:
In Green Bay and Appleton, Wisconsin, the average height ofhemlock trees is normally distributed within each city. Lilith istrying to determine if one town’s trees are taller than the othertown’s trees before deciding where to start her tree farm. Herhorticultural knowledge reveals that the standard deviation of theheight of similar types of trees is the same everywhere inWisconsin. So she conducts a test to compare the two populationsassuming the same variance within each city. In Green Bay, Lilithsampled 100 trees and found that the average height of trees is 20feet. In Appleton, she also sampled 100 and found that the averageheight is 21 feet. In the pooled sample, the estimated standarddeviation is 2 feet. What is the absolute value of the t-statisticif the null hypothesis is that the two city’s trees are the sameheight?
College Mathematics for Business Economics Life Sciences and Social Sciences
ISBN: 978-0321614001
12th edition
Authors: Raymond A. Barnett, Michael R. Ziegler, Karl E. Byleen