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 IQ scores of statistics professors. Use the table below to find the minimum sample size needed to be 95% confident that the sample standard deviation s is within 20% of σ. Is this sample size practical?
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
The minimum sample size needed is

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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