Answered: Suppose that the average height of men…

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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Suppose that the average height of men in the United States is approximately normally
distributed with a mean of approximately 70 inches and a standard deviation of
approximately 4 inches.

(a) If you take a sample of 4 men, find Pr {68 ≤ Y̅ ≤ 73}, the probability that the sample mean Y̅ will be between 68 and 73 inches.

(b) If you take a sample of 16 men, find Pr {68 ≤ Y̅ ≤ 73}, the probability that the sample mean Y̅ will be between 68 and 73 inches.

(circle one of the three statements.)
Pr{68 ≤ Y̅ ≤ 73} > the probability that you found in (b)
Pr{68 ≤ Y̅ ≤ 73} = the probability that you found in (b)
Pr{68 ≤ Y̅ ≤ 73} < the probability that you found in (b)

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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