Answered: A preliminary behavioral study of the…

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

A preliminary behavioral study of the Jingdong black gibbon, a primate endemic to the Wuliang Mountains in China, found that the mean song bout duration in the wet season is 12.59 minutes with a standard deviation of 5.31 minutes. Assume that song bout is normally distributed.

a. Determine the percentage of song bouts that have a duration one standard deviation to either side of the mean.

b. Determine the percentage of song bouts that have a duration two standard deviation to either side of the mean.

c. Determine the percentage of song bouts that have a duration three standard deviation to either side of the mean.

a. The percentage of song bouts within one standard deviation of the mean is

(Round to two decimal places as needed.)

b. The percentage of song bouts within two standard deviation of the mean is

(Round to two decimal places as needed.)

c. The percentage of song bouts within three stanard deviation of the mean is

(Round to two decimal places as needed.)

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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