Answered: Assume that the sample is a simple…

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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Assume that the sample is a simple random sample obtained from a normally distributed population of flight delays at an airport. Use the table below to find the minimum sample size needed to be

95%

confident that the sample standard deviation is within

40%

of the population standard deviation. A histogram of a sample of those arrival delays suggests that the distribution is skewed, not normal. How does the distribution affect the sample size?

σ	To be 95% confident that s is within	1%	5%	10%	20%	30%	40%	50%
of the value of σ, the sample size n should be at least	19,205	768	192	48	21	12	8
To be 99% confident that s is within	1%	5%	10%	20%	30%	40%	50%
of the value of σ, the sample size n should be at least	33,218	1,336	336	85	38	22	14

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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