Answered: A forester is studying the average…

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

See similar textbooks

Related questions

Question

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.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Expert Solution