Answered: Suppose 14% of students are veterans.…

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 14% of students are veterans. From a sample of 201 students, how unusual would it be to have less than 20 veterans?

Is the success-failure condition of the Central Limit Theorem satisfied?

Yes. Both npnp and n(1−p)n(1-p) are ≥10≥10.
No. Either np<10np<10 or n(1−p)<10n(1-p)<10.

The Central Limit Theorem tells us that the distribution of sample proportions approximately follows a normal distribution with mean and standard deviation .

Given this knowledge, calculate the z-score of this observation.

Round answer to 4 decimal places.

Is this an unusual observation? (More than 2 standard deviations from the mean)

No.
Yes.

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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