# Lab 4 - Azfar Khandoker Dr Knapp Stat 350 4:30 Lab#4 1 a...

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Azfar Khandoker Dr. Knapp Stat 350 4:30 Lab #4 1. a. The TTEST Procedure Statistics Lower CL Upper CL Lower CL Upper CL Variable type N Mean Mean Mean Std Dev Std Dev Std Dev Std Err val cat 10 55.512 66.02 76.528 10.104 14.689 26.817 4.6452 val dog 12 40.261 48.408 56.556 9.0842 12.824 21.773 3.7019 val Diff (1-2) 5.3802 17.612 29.843 10.477 13.695 19.776 5.8637 T-Tests Variable Method Variances DF t Value Pr > |t| val Pooled Equal 20 3.00 0.0070 val Satterthwaite Unequal 18.1 2.97 0.0083 Equality of Variances Variable Method Num DF Den DF F Value Pr > F val Folded F 9 11 1.31 0.6603 b. Alternate Hypothesis do not assume equal variance assume equal variance µ d - µ c ≠ 0 0.0083 0.007 µ d - µ c < 0 0.0083 / 2 = 0.00415 0.007 / 2 = 0.0035 µ d - µ c > 0 0.0083 / 2 = 0.00415 0.007 / 2 = 0.0035

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c. Yes, the assumption of equal variance is appropriate. This is because the p-value relating to the “Equality of Variances” is 0.6603 which is greater than α = 0.05. With this p-value , we come to the conclusion that the assumption of equal variance is correct. 2. a. H o : µ o - µ y = 0 H a : µ o - µ y > 0 b. The TTEST Procedure Statistics Lower CL Upper CL Lower CL Upper CL Variable age N Mean Mean Mean Std Dev Std Dev Std Dev Std Err score old 8 118.63 122.5 126.37 3.0606 4.6291 9.4215 1.6366 score young 16 102.42 115.13 127.83 17.607 23.835 36.89 5.9588 score Diff (1-2) -10.45 7.375 25.204 15.355 19.854 28.1 8.5969 T-Tests
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