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Introduction to ANOVA
14. ANOVA / Introduction to ANOVA / Problem 5
Problem 5

A tech recruiter is analyzing the starting salaries (in units of USD) of entry-level software engineers in six major U.S. cities to determine whether location influences pay. Salaries were collected from a random sample of five job offers in each of the following cities: San Francisco, Austin, New York, Denver, Chicago, and Atlanta. The mean square between groups (MSB) is 105,023,283.34105,023,283.34, and the mean square within groups (MSW) is 2,976,333.332,976,333.33. At α=0.05\alpha = 0.05, can you conclude that the mean starting salary differs for at least one of the cities?