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5. A senior student at a prestigious eastern university is trying to decide whether to enter a one year teachers' college and become a high school teacher or go to a graduate school, obtain an MA and Ph. D, and become a university professor. After careful consideration, he concludes that the decision should be made on the basis of the average annual income of two groups ten years after getting the bachelor's degree. In particular, he will become a university professor unless there is enough evidence to allow him to conclude that high school teachers earn more money. The senior student takes a sample of 50 university professors and 50 high school teachers, all of whom graduated with their bachelor degrees 10 years ago and determine their annual income. The results are summarized in the accompanying table, Mean and Variance of Annual Income High School Teacher x = 43.7 = 11.8 s² University Professor x = 41.5 s² = 46.3 At the 5% significance level, should he become a university professor or a high school teacher?

5. A senior student at a prestigious eastern university is trying to decide whether to enter a one year teachers' college and become a high school teacher or go to a graduate school, obtain an MA and Ph. D, and become a university professor. After careful consideration, he concludes that the decision should be made on the basis of the average annual income of two groups ten years after getting the bachelor's degree. In particular, he will become a university professor unless there is enough evidence to allow him to conclude that high school teachers earn more money. The senior student takes a sample of 50 university professors and 50 high school teachers, all of whom graduated with their bachelor degrees 10 years ago and determine their annual income. The results are summarized in the accompanying table, Mean and Variance of Annual Income High School Teacher x = 43.7 = 11.8 s² University Professor x = 41.5 s² = 46.3 At the 5% significance level, should he become a university professor or a high school teacher?

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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5. A senior student at a prestigious eastern university is trying to decide whether to enter a one year teachers' college and become a high school teacher or go to a graduate school, obtain an MA and Ph. D, and become a university professor. After careful consideration, he concludes that the decision should be made on the basis of the average annual income of two groups ten years after getting the bachelor's degree. In particular, he will become a university professor unless there is enough evidence to allow him to conclude that high school teachers earn more money. The senior student takes a sample of 50 university professors and 50 high school teachers, all of whom graduated with their bachelor degrees 10 years ago and determine their annual income. The results are summarized in the accompanying table, Mean and Variance of Annual Income High School Teacher x 43.7 s² = 11.8 University Professor x = 41.5 s² = 46.3 At the 5% significance level, should he become a university professor or a high school teacher?
Transcribed Image Text:5. A senior student at a prestigious eastern university is trying to decide whether to enter a one year teachers' college and become a high school teacher or go to a graduate school, obtain an MA and Ph. D, and become a university professor. After careful consideration, he concludes that the decision should be made on the basis of the average annual income of two groups ten years after getting the bachelor's degree. In particular, he will become a university professor unless there is enough evidence to allow him to conclude that high school teachers earn more money. The senior student takes a sample of 50 university professors and 50 high school teachers, all of whom graduated with their bachelor degrees 10 years ago and determine their annual income. The results are summarized in the accompanying table, Mean and Variance of Annual Income High School Teacher x 43.7 s² = 11.8 University Professor x = 41.5 s² = 46.3 At the 5% significance level, should he become a university professor or a high school teacher?
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