Statistics Homework Solutions 215

Statistics Homework Solutions 215 - 215 SECTION 9.3 Main...

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Unformatted text preview: 215 SECTION 9.3 Main Effects of Temperature 25 C 1 8101 37 C 1 8101 Interactions Temperature Solution 25 C 37 C NaCl 0 49983 0 49983 Na2 HPO4 0 49983 0 49983 ¨ ¨ ¨ ¨ ¡ ¡ ¨ ¡ ¨ MS 1993.9 78.634 5.9960 383.57 0 10 (P F 5.1983 0.20500 0.015632 P 0.034 0.656 0.902 0 902). ¡ ¡ ¨ 0 015632, P SS 1993.9 78.634 5.9960 7671.4 9750.0 ¨ ¨ ¡ (c) Yes, F1 20 DF 1 1 1 20 23 ¡ (b) Source Solution Temperature Interaction Error Total ¨ ¨ Main Effects of Solution NaCl 9 1148 Na2 HPO4 9 1148 5. (a) ¡ (d) Yes, since the additive model is plausible. The mean yield stress differs between Na 2 HPO4 and NaCl: F1 20 5 1983, 0 01 P 0 05 (P 0 034). ¨ ¡ ¨ ¡ ¡ ¨ ¡ ¡ ¨ ¡ ¨ ¡ ¡ (d) No, because the additive model is rejected. (e) No, because the additive model is rejected. 0 005). ¨ ¨ ¡ 0 01 (P F 7.4432 16.384 31.151 P 0.053 0.016 0.005 ¨ MS 29.261 64.411 122.46 3.9312 Fraction = 30 3.9125 3 9125 ¡ P Interactions Fraction = 10 Weight = 15 3 9125 Weight = 25 3.9125 0 656). ¨ ¡ ¡ 31 151, 0 001 ¡ SS 29.261 64.411 122.46 15.725 231.86 ¨ ¨ DF 1 1 1 4 7 ¡ ¡ (b) Source Weight Lauric Acid Interaction Error Total (c) No. F1 4 Main Effects of Lauric Acid 10 2.8375 30 2 8375 ¨ ¨ ¡ Main Effects of Weight 15 1.9125 25 1 9125 0 10 (P ¡ ¨ 7. (a) 0 20500, P ¨ ¡ (e) There is no evidence that the temperature affects yield stress: F1 20 ...
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