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A state employee wishes to see if there is a significant difference in the number of employees at the interchanges of three state toll roads. The data are shown. At alpha = 0.05, can it be concluded that there is a significant difference in the average number of employees at each interchange? If so, which pairs are different? Be sure to show the SST, SSW, and SSB calculations. Also, interpret the p-value.

Pennsylvania Turnpike

7 14 32 19 10 11 Average n Grand Average 15,5 6 8,44

Greensburg Bypass / Mon-­‐Fayette Expressway 10 1 1 0 11 1 4 6

Beaver Valley Expressway 1 12 1 9 1 11 5,83 6

nT 18

Square 2,09 30,86 554,86 111,42 2,42 6,53 2,42 55,42 55,42 71,31 6,53 55,42 55,42 12,64 55,42 0,31 55,42 6,53 1 140,44 n 6 n * Square 298,685

7 14 32 19 10 11 10 1 1 0 11 1 1 12 1 9 1 11

15,5

Grand average Difference 8,44 -­‐1,44 8,44 5,56 8,44 23,56 8,44 10,56 8,44 1,56 8,44 2,56 8,44 1,56 8,44 -­‐7,44 8,44 -­‐7,44 8,44 -­‐8,44 8,44 2,56 8,44 -­‐7,44 8,44 -­‐7,44 8,44 3,56 8,44 -­‐7,44 8,44 0,56 8,44 -­‐7,44 8,44 2,56 SST Square 49,781

Grand average

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