35. a. a. Source df

AB 4 1069.62 267.41 2.31 2.73 AC 4 62.67 15.67 .14 2.73 BC 4 331.67 82.92 .72 2.73 ABC 8 1080.77 135.10 1.17 2.31 Error 27 3127.50 115.83 Total 53 270,024.33 d. , and all three of the levels dif- fer significantly from one another.

29. a. Source df

SS MS f A 2 12.896 6.448 1.04 B 1 100.041 100.041 16.10 C 3 393.416 131.139 21.10 AB 2 1.646 .823 AC 6 71.021 11.837 1.905 BC 3 1.542 .514 ABC 6 9.771 1.629 Error 72 447.500 6.215 Total 95 1037.833 b. No interaction effects are significant. c. Factor B and factor C main effects are significant. d. ; only machines 2 and 4 do not differ signifi- cantly from one another. 31. The P-value column shows that several interaction effects are significant at level .01.

33. Source df

SS MS f A 6 67.32 11.02 B 6 51.06 8.51 C 6 5.43 .91 .61 Error 30 44.26 1.48 Total 48 168.07 , so H 0C is not rejected. 35. Source df SS MS f A 4 28.88 7.22 10.7 B 4 23.70 5.93 8.79 C 4 .62 .155 Error 12 8.10 .675 Total 24 61.30 Since , both A and B are significant. 37. Source df MS f A 2 2207.329 2259 B 1 47.255 48.4 C 2 491.783 503 D 1 .044 AB 2 15.303 15.7 AC 4 275.446 282 AD 2 .470 BC 2 2.141 2.19 BD 1 .273 CD 2 .247 ABC 4 3.714 3.80 , 1 , 1 , 1 , 1 F .05,4,12 5 3.26 , 1 F .05,6,30 5 2.42, f C 5 .61 w 5 1.89 , 1 , 1 , 1 Q .05,3,27 5 3.51, w 5 8.90 ABD 2 4.072 4.17 ACD 4 .767 BCD 2 .280 ABCD 4 .347 Error 36 .977 Total 71 93.621 Denotes a significant F ratio.

39. a.

.

b. Effect

Source Contrast MS f A 1307 71,177.04 436.7 B 1305 70,959.34 435.4 C 529 11,660.04 71.54 AB 199 1650.04 10.12 AC ⫺ 53 117.04 BC 57 135.38 ABC 27 30.38 Error 162.98

41. Source SS

f A 136,640.02 1007.6 B 139,644.19 1029.8 C 24,616.02 181.5 D 20,377.52 150.3 AB 2173.52 16.0 AC 2.52 AD 58.52 BC 165.02 1.2 BD 9.19 CD 17.52 ABC 42.19 ABD 117.19 ACD 188.02 1.4 BCD 13.02 ABCD 204.19 1.5 Error 4339.33 Total 328,607.98 , so only the four main effects and the AB interaction appear significant.

43. Source df

SS f A 1 .436 B 1 .099 C 1 .109 D 1 414.12 851 AB 1 .003 AC 1 .078 AD 1 .017 BC 1 1.404 3.62 BD 1 .456 CD 1 2.190 4.50 Error 5 2.434 , so only the factor D main effect is judged significant. F .05,1,5 5 6.61 , 1 , 1 , 1 , 1 , 1 , 1 , 1 F .05,1.32 4.15 , 1 , 1 , 1 , 1 , 1 , 1 , 1 , 1 , 1 , 1 bˆ 1 5 54.38, gˆ 11 AC 5 2 2.21, gˆ 21 AC 5 2.21 , 1 , 1 , 1 Copyright 2010 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook andor eChapters. Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it.