Statistic Business Essay

1150 Words Dec 17th, 2012 5 Pages
Mounir
TAIEB-OUIS
BS5 1B

FINAL ASSIGNMENT BUSINESS STATISTICS

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Professor: Donnelly Robert

1. 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 Greensburg Bypass/ Beaver Valley
Turnpike Mon-Fayette Expressway Expressway
7 10 1
14 1 12
32 1 1
19 0 9
10 11 1
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2. The amount of sodium (in milligrams) in one serving for a random sample of three different kinds of foods is listed here. At the 0.05 level of significance, is there sufficient evidence to conclude that a difference in mean sodium amounts exists among condiments, cereals, and desserts? If so, which pairs are different? Be sure to show the SST, SSW, and SSB calculations. Also, interpret the p-value.

Condiments Cereals Desserts
270 260 100
130 220 180
230 290 250
180 290 250
80 200 300
70 320 360
200 140 300 160

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SSB = 27543,51
SST = 136636,4
SSW = 109092,89 k = 3 nT = 22

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D1 = k – 1 = 2
D2 = nT – k = 19 α = 0,05
Fα = 3,522

Fcritical = INVERSE.LOI.F(0,05;2;19)

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