A forester is studying the average basal area of a particular species of pine tree in the Pisgah National Forest. She wants to know if the mean basal area has increased since 1950 when the mean basal area was 55 f t2. She collects data on n=75 randomly selected pine trees and finds a sample mean of 58.4 f t2 and standard deviation of 7.3 f t2. She sets her significance level at α = 0.05. Conduct a hypothesis test to help the forester answer her question. Assume basal area is known to be normally distributed.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 8E
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A forester is studying the average basal area of a particular species of pine tree in
the Pisgah National Forest. She wants to know if the mean basal area has increased since 1950
when the mean basal area was 55 f t2. She collects data on n=75 randomly selected pine trees
and finds a sample mean of 58.4 f t2 and standard deviation of 7.3 f t2. She sets her significance
level at α = 0.05. Conduct a hypothesis test to help the forester answer her question. Assume
basal area is known to be normally distributed.

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