A study of the properties of metal plate connected trusses used tor roof support

Question

A study of the properties of metal plate connected trusses used tor roof support yielded the tollowing observations on axial stitness index (kips in.) for plate lengths 4, 6, 8, 10, and 12 in 4:361.0 409.5 311.0 326.5 316.8 349.8 309.7 6:374.2 347.2 361.0 404.5 331.0 348.9 381.7 8:351.7 366.2 351.0 357.1 409.9 367.3 382.0 10: 377.2 452.9 461.4 433.1 410.6 384.2 362.6 12: 414.4 441.8 419.9 410.7 473.4 441.2 465.8 Does varlaton in plate length have any effect on true average ax al stiffness? State and test the relevant hypotheses using analysis of variance wtha01. Display your results in an ANOVA table. Round answers to whole numbers and F to 2 decimal places Source Treatments 10.19 Total 34 Conclusion Reject Ho and conclude that there are differences in the true avcrage axial stiffness. Fail to reject Ho and conclude that there are no differences. Reject Ha and conclude that there are no differences. Fail to reject Ho and conclude that there are differences in the true average axial stiffness.

Explanation / Answer

from abvoedata:

Groups Count Sum Average Variance 4th 7 2384.3 340.6143 1307.371 6th 7 2548.5 364.0714 610.9657 8th 7 2585.2 369.3143 436.1248 10th 7 2882 411.7143 1497.335 12th 7 3067.2 438.1714 613.389 Source of Variation df SS MS F treatment 4 43363 10841 12.14 error 30 26791 893 Total 34 70154

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