A study of the properties of metal plate-connected trusses used for roof support yielded the following observations on axial stiffness index (kips/in.) for plate lengths 4, 6, 8, 10, and 12 in: 4: 322.2 409.5 311.0 326.5 316.8 349.8 309.7 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: 349.7 452.9 461.4 433.1 410.6 384.2 362.6 12: 408.4 441.8 419.9 410.7 473.4 441.2 465.8 Does variation in plate length have any effect on true average axial stiffness? State the relevant hypotheses using analysis of variance. D Ho: #1 = #2 = 13 = 14 = #5 Ha: at least two 's are unequal O HO: #1 # #2 # #3 # 14 # #5 Ha: all five my's are equal o Ho: M1 = #2 = #3 = 14 = #5 H : all five my's are unequal O HO: H1 # #2 # #3 + 14 * H5 Ha: at least two w/'s are equal Test the relevant hypotheses using analysis of variance with a = 0.01. Display your results in an ANOVA table. (Round your answers to two decimal places.) Degrees of Sum of Mean Source freedom Squares Squares Treatments Error Total Give the test statistic. (Round your answer to two decimal places.) f = What can be said about the P-value for the test? o P-value > 0.100 6 0.050