Analysis of Variance Probability and Statistics II You are an industrial engineer responsible for a process which produces trusses used for supporting various sections used in bridge construction. You perform a study of the various material properties. One of the key ones being axial stiffness of the plates. Your study yielded the following observations on the axial stiffness index (kips/in.) for several plate lengths produced at a facility. Stiffness in Samples Plate Length: 1 2 3 4 5 6 7 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 the variation in plate length have any effect on the true average axial stiffness? State and test the relevant hypotheses using analysis of variance (ANOVA) at a significance level of 0.01 (1%). In addition to your conclusion, are there any recommendations you would make based on the results