Answered: Two-lined salamanders have weights that…

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-lined salamanders have weights that are normally distributed and on average 14.7 grams with a standard deviation of 1.2 grams. A random sample of 8 two-lined salamanders is selected and weighed.

The probability that the sample mean is between 14.7-x and 14.7+x is around 0.68 (more precisely, 0.6827), for some value of x. What is the value of x ?

Hint: recall the Empirical Rule of the normal distribution.

a. 0.15

b. The sample size is too small, so we cannot make probability calculations about the sample mean.

c. 0.60

d. 0.42

e. 14.70

f. 1.20

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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