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Chapter 11: Multifactor Analysis of Variance17.a.Source Df SS MS f F .05Sand 2 705 352.5 3.76 4.26Fiber 2 1,278 639.0 6.82* 4.26Sand&Fiber 4 279 69.75 0.74 3.63Error 9 843 93.67Total 17 3,105There appears to be an effect due to carbon fiber addition.b.Source Df SS MS f F .05Sand 2 106.78 53.39 6.54* 4.26Fiber 2 87.11 43.56 5.33* 4.26Sand&Fiber 4 8.89 2.22 .27 3.63Error 9 73.50 8.17Total 17 276.28There appears to be an effect due to both sand and carbon fiber addition to castinghardness.c.Sand% 0 15 30 0 15 30 0 15 30Fiber% 0 0 0 0.25 0.25 0.25 0.5 0.5 0.5x 62 68 69.5 69 71.5 73 68 71.5 74The plot below indicates some effect due to sand and fiber addition with no significantinteraction. This agrees with the statistical analysis in part b750.000.250.5070mean650 10 20 30Sand%320

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