Answered: Two different species of trees have…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Two different species of trees have heights that are approximately normal in distribution. Tree A has a mean of 36 feet and a standard deviation of 3 feet. Tree B has a mean of 52 feet with a standard deviation of 7 feet. You can just copy your answers from stat key for parts A and B, or you can provide screenshots for possibly partial credit. Be sure to fully support your answer for part C.

a) What proportion of the species A trees are above 40 feet tall?
b) What proportion of the species B trees are less than 40 feet tall?
c) Suppose one tree of type A is 41.4 feet tall and one tree of type B is 62.1 feet tall. Which tree is taller relative to the species? For full credit fully support your answer with work or Stat Key output.

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.

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