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(See Solution) One reads that a business school graduate with an undergraduate degree earns more than a high school graduate with no additional education, and

Question: One reads that a business school graduate with an undergraduate degree earns more than a high school graduate with no additional education, and a person with a master’s degree or a doctorate earns even more. To investigate we select a sample of 25 mid-level managers of companies with less than 200 employees. Their incomes, classified by highest level of education, follow.

Income ($ thousands)
High School Undergraduate Master’s Degree
or Less Degree or More
45 49 51
47 57 73
53 85 82
62 73 59
39 81 94
43 84 89
54 89 89
92 95
62 73

Test at the .05 level of significance that there is no difference in the arithmetic mean salaries of the three groups. If the null hypothesis is rejected, conduct further tests to determine which groups differ.

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