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

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
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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.
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