The circumference of a species of tree was thought to be different depending on geographical factors. An SRS of 60 trees of this species is selected in Sequoyah National Forest, where it is found that ?1̅ = 6 m with a standard deviation ?1 = 3 m.  A second SRS of size 40 trees of the same species is independently selected inYellowstone National Forest, and it is found that ?̅2 = 4 m with a standard deviation ?2 = 2 m. A 95% confidence interval for the difference of means was computed to be (1.01, 2.99). Explain what one can conclude from this confidence interval. In particular, can one believe there is a difference in mean circumference between Sequoyah and Yellowstone?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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2. The circumference of a species of tree was thought to be different depending on geographical factors. An SRS of 60 trees of this species is selected in Sequoyah National Forest, where it is found that ?1̅ = 6 m with a standard deviation ?1 = 3 m.  A second SRS of size 40 trees of the same species is independently selected inYellowstone National Forest, and it is found that ?̅2 = 4 m with a standard deviation ?2 = 2 m. A 95% confidence interval for the difference of means was computed to be (1.01, 2.99). Explain what one can conclude from this confidence interval. In particular, can one believe there is a difference in mean circumference between Sequoyah and Yellowstone?

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