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Question: It is generally believed that a practical major such as business or engineering can really pay off for college graduates (CNN Money.com , July 22 , 2010). Other studies have shown that it is not just the major but also h o w students perform, as measured by their GPA, that influences their salaries. Henry Chen, an employee of PayScale.com, w ants to measure the effect of major and GPA on starting salaries of graduates of the University of California at Irvine. He samples starting salaries of five graduates for a given GPA ran g e from the schools of business, engineering, a n d social sciences. The sample data are shown in the following table; the data can also be found on the text website labeled ANO VA-Salaries.
a. At the 5% significance level, is there interaction between major and GPA?
b. At the 5% significance level, can you conclude that starting salary differs between majors?
c. At the 5% significance level, can you conclude that starting salary depends on GPA?
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Suppose you are on a test and are asked to determine whether the given experiment is binomial, Poisson, or neither. What are you going to think about to determine which test to use. Do you have a checklist? How would you approach this problem?
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