Income $ thousands
High School or less Undergrad Masters
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
One reads that a business school graduate with an undergrad degree earns more than a high school grad with no additional ed, and a person with a master's or a doctorate earns even more.
To test this a random sample of 25 executives from compainies with assests over 1 million were selected. Their incomes, classified by highest level of education are in the attachement. 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.
a. What can we say about the P-value?
B. Which if any, mean salary is different from the others? Can the F test tell you this?