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

ID: 3317437 • Letter: A

Question

A study of the propertles of metal plate-connected trusses used for roof support yielded the following observatlons on axial stiffness index (kips/in,) for plate lengths 4, 6, 8, 10, and 12 in: 4: 303.2 409.5 311.0 326.5 316.8 349.8 309.7 6: 404.1 347.2 361.0 404.5 331.0 348.9 381.7 8: 397.4 366.2 351.0 357.1 409.9 367.3 382.0 10: 359.7 52.9 461.4 433.1 410.6 384.2 362.6 12: 402.4 441.8 419.9 410.7 473.4 441.2 465.8 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 H : all five Ws 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 Sourcc Treatments Error Total Squares Give the test statistic. (Round your answer to two decimal places.)

Explanation / Answer

The ANOVA output for this problem is:

ANOVA table

Hence,

f = 10.77

Source DF SS MS F-Stat Columns 4 44556.41 11139.10 10.77 Error 30 31014.72 1033.82 Total 34 75571.13