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

Question

A study of the properties of metal plate connected trusses used for roof support yielded the following observations on ax al stiffness in ex kips in. for late lengths·6 8 1 and 2 4: 327.0 409.5 311.0 326.5 316.8 349.8 309.7 6: 348.7 347.2 361.0 404.5 331.0 348.9 381.7 8:350.0 366.2 351.0 357.1 409.9 367.3 382.0 10: 409.5 452.9 461.4 433.1 410.6 384.2 362.6 12: 428.8 441.8 419.9 410.7 473.4 441.2 465.8 .01 Display our results in an ANOVA table Round answers to Does variation in plate length have any effect on true average axial stiffness? State and test the relevant hypotheses using analysis of vanance with whole numbers and Fto 2 decimal places) Source Treatments Error Total Conclusion Df MS Reject H° and conclude that there are differences in the true average axial stiffness. Fail to reject Ho and conclude that there are no differences. Reject Ho and conclude that there are no differences. Fail to reject Ho and conclude that there are differences in the true average axial stiffness. You may need to use the appropriate table in the Appendix of Tables to answer this question

Explanation / Answer

for above test statistic as p value is less then 0.01 level

therefore reject Hoi.

please revert for any clarificaiton required

SUMMARY Groups Count Sum Average Variance 4: 7 2350.3 335.7571 1241.476 6: 7 2523 360.4286 617.7657 8: 7 2583.5 369.0714 446.519 10: 7 2914.3 416.3286 1274.772 12: 7 3135.6 447.9429 739.7662 ANOVA Source of Variation df SS MS F Between Groups 4 57550.6 14387.65 16.65 Within Groups 30 25921.8 864.06 Total 34 83472.4

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