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ISyE 6739 — Test 3 Solutions — Summer 2011

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10Table 1: Standard normal valuesz P(Z ≤ z)1 0.84131.28 0.90001.5 0.93321.645 0.95001.96 0.97502 0.9773Table 2: χ 2 α,ν valuesν \ α 0.975 0.95 0.90 0.50 0.10 0.05 0.0253 0.22 0.35 0.58 2.37 6.25 7.81 9.354 0.48 0.71 1.06 3.36 7.78 9.49 11.145 0.83 1.15 1.61 4.35 9.24 11.07 12.836 1.24 1.64 2.20 5.35 10.65 12.59 14.45Table 3: t α,ν valuesν \ α 0.10 0.05 0.0257 1.415 1.895 2.3658 1.397 1.860 2.3069 1.383 1.833 2.26210 1.372 1.812 2.228Table 4: F 0.025,m,n valuesn \ m 3 4 53 15.44 15.10 14.884 9.98 9.60 9.365 7.76 7.39 7.15

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