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 4: 328.2 409.5 311.0 326.5 316.8 349.8 309.7 6: 419.1 347.2 361.0 404.5 331.0 348.9 381.7 8 390.4 366.2 351.0 357.1 409.9 367.3 382.0 10: 368.7 452.9 461.4 433.1 410.6 384.2 362.6 12: 412.4 441.8 419.9 410.7 473.4 441.2 465.8 Does variation in plate length have any effect on true average axial stiffness? State the relevant hypotheses using analysis of variance Hai all five 's are equal Ha: at least two 's are equal Ha: at least two 's are unequal Hai all five 's are unequal Test the relevant hypotheses using analysis of variance with -0.01. Display your results in an ANOVA table. (Round your answers to two decimal places.) Degrees of Sum of freedom Squares Mean Squares Source Treatments Error Total 30 34

Explanation / Answer

f statistic: 10.90

p-value: 0.00001403, p-value <0.001

p-value = 0.00001403, reject Ho, there are diffrence in the true average axial stiffness for the diffrent plate lengths

Mean n Std. Dev 335.93 7 35.188 EVENT 4 370.49 7 32.412 EVENT 6 374.84 7 20.563 EVENT 8 410.50 7 40.068 EVENT 10 437.89 7 25.096 EVENT 12 385.93 35 46.284 Total

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