A researche at a Prei Uhiversity iš trying tô đěčide hether tô a one-year têächër'š college and become a high school teacher or go to graduate school, obtain an MS 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 teacher earn more money. The researcher takes a sample of 50 university professors and 50 high school teachers, all of whom graduated with their bachelor's degrees ten years ago and determines their annual income. The results are summarized in the accompanying table: Mean and variance of annual income High school teacher X = 43.7 s = 11.8 University Professor ī = 41.5 si= 46.3 At the 5 % significance level, should he become a University Professor or a High School Teacher?

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A researcher at a Premier University is trying to decide whether to enter a one-year teacher's
college and become a high school teacher or go to graduate school, obtain an MS 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 teacher earn more money. The researcher
takes a sample of 50 university professors and 50 high school teachers, all of whom graduated
with their bachelor's degrees ten years ago and determines their annual income. The results are
summarized in the accompanying table:
Mean and variance of annual income
High school teacher
X = 43.7
si= 11.8
University Professor
x = 41.5
si= 46.3
At the 5 % significance level, should he become a University Professor or a High School Teacher?
Transcribed Image Text:A researcher at a Premier University is trying to decide whether to enter a one-year teacher's college and become a high school teacher or go to graduate school, obtain an MS 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 teacher earn more money. The researcher takes a sample of 50 university professors and 50 high school teachers, all of whom graduated with their bachelor's degrees ten years ago and determines their annual income. The results are summarized in the accompanying table: Mean and variance of annual income High school teacher X = 43.7 si= 11.8 University Professor x = 41.5 si= 46.3 At the 5 % significance level, should he become a University Professor or a High School Teacher?
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