Elementary Statistics

566 CHAPTER 10 Chi-Square Tests and the F -Distribution 8. Government Salaries The table shows the annual salaries (in thousands of dollars) for a sample of individuals from the federal, state, and local levels of government. At a = 0.01, can you conclude that at least one mean salary is different from the others? (Adapted from Bureau of Labor Statistics) Federal State Local 88.6 97.0 71.6 68.5 80.9 38.6 57.1 69.1 46.9 95.9 40.7 59.6 94.2 83.6 26.3 87.7 98.6 62.9 100.5 65.4 78.5 93.8 76.9 55.5 80.3 67.0 60.3 87.5 67.5 40.8 9. Ages of Professional Athletes The table shows the ages (in years) for a sample of professional athletes from several sports. At a = 0.05, can you conclude that at least one mean age is different from the others? (Source: ESPN) MLB NBA NFL NHL 30 28 26 29 25 27 28 23 26 29 27 26 31 30 26 30 27 24 29 27 29 27 27 25 27 28 26 24 25 33 26 26 27 26 27 29 23 28 27 32 26 27 29 28 34 28 25 25 29 26 24 27 10. Cost per Mile The table shows the costs per mile (in cents) for a sample of automobiles. At a = 0.01, can you conclude that at least one mean cost per mile is different from the others? (Adapted from American Automobile Association) Small sedan Medium sedan Large sedan SUV 4WD Minivan 44 46 65 56 69 40 61 67 57 51 43 42 64 57 56 39 58 58 61 53 36 48 63 68 44 53

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