Statistics Homework Solutions
Problem
#8024

Word Problem - calculating P-value and F test

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?

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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
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