420 CHAPTER 10 The Analysis of Variance 8. A study of the properties of metal plate-connected trusses used for roof support ("Modeling Joints Made with Light-Gauge Metal Connector Plates," Forest Products J., 1979: 39-44) yielded the following obser- vations on axial-stiffness index (kips/in.) for plate lengths 4, 6, 8, 10, and 12 in: 4: 309.2 409.5 311.0 326.5 316.8 349.8 309.7 6: 402.1 347.2 361.0 404.5 331.0 348.9 381.7 8: 392.4 366.2 351.0 357.1 409.9 367.3 382.0 10: 346.7 452.9 461.4 433.1 410.6 384.2 362.6 12: 407.4 441.8 419.9 410.7 473.4 441.2 465.8 Does variation in plate length have any effect on true average axial stiffness? State and test the rel- evant hypotheses using analysis of variance with .01. Display your results in an ANOVA table. [Hint: ΣEx} = 5,241,420.79.] α= Six samples of each of four types of cereal grain grown

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