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 axial stiffness index (kips/in.) for plate lengths 4, 6, 8, 10, and 12 in.

Does variation in plate length have any effect on true average axial stiffness? State and test the relevant hypotheses using analysis of variance with = .01. Display your results in an ANOVA table. (Round answers to whole numbers and F to 2 decimal places)

4: 328.7 409.5 311.0 326.5 316.8 349.8 309.7 6: 336.8 347.2 361.0 404.5 331.0 348.9 381.7 8: 375.5 366.2 351.0 357.1 409.9 367.3 382.0 10: 419.7 452.9 461.4 433.1 410.6 384.2 362.6 12: 407.2 441.8 419.9 410.7 473.4 441.2 465.8 A study of the properties of metal plate-connected trusses used for roof support yielded the following observations an axial stiffness index (kpain for plate lengths 4, b, , 1, and 12 in. 4: 328.7 4n9.5 311.0 326.5 316,R 34q.8 309.7 6: 336.8 347.2 361.0 404.5 331.o 248.9 361.7 8: 375.5 366.2 351.0 357.1 409.9 367.3 362.0 10: 110.7 152.D 161.1 133.1 110. 3.2 302.6 12: 407.2 441.8 419.9 410.7 473.4 441.2 465.8 D es variation in plate length have any ettect on true average axial stit ness? State and test tne relevant nYp theses using analysis or va ance ith 01 Display your results in an ANOVA table. Ro nd answers to whole n moers and F to 2 ded mal places Df

Explanation / Answer

here applying analysis of Variance on above data:

please revert if there are other sub parts.

Groups Count Sum Average Variance 4:00 7 2352.0 336.0 1236.9 6:00 7 2511.1 358.7 684.5 8:00 7 2609.0 372.7 377.3 10:00 7 2924.5 417.8 1266.4 12:00 7 3060.0 437.1 677.8 Source of Variation df SS MS F treatments 4 49242 12310 14.51 error 30 25458 849 Total 34 74700

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