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 stiffess index (kips/in.) for plate lengths 4, 6, 8, 10, and 12 in: 4: 321.2 409.5 311.0 326.5 316.8 349.8 309.7 6: 414.1 347.2 361.0 404.5 331.0 348.9 381.7 8: 392.4 366.2 351.0 357.1 409.9 367.3 382.0 10: 356.7 452.9 461.4 433.1 410.6 384.2 362.6 12: 407.4 441.8 419.9 410.7 473.4 441.2 465.8 Does variation inplate length have any effect on true average axial stiffness? State the relevant hypotheses using analysis of variance Ha: all five u's are unequal Ha: at least two ?'s are equal Ha: all five ?/s are equal Ha: at least two A's are unequal Test the relevant hypotheses using analysis of variance with ? . 1. Display your results n a ANOVA table Round your answers o o amal places. Degrees of Sum of Mean freedom Squares Squares Source Treatments Error Total

Explanation / Answer

Here i have EXCEL data analysis tool and then do one way anova analysis.

The results and ANOVA table is given below.

Here as F value if F(critical) and similarly p - value is less than 0.01 so we will reject the null hypothesis and can conclude that there is sigifiant difference between population means for different plate lengths.  

Anova: Single Factor SUMMARY Groups Count Sum Average Variance 4 7 2344.5 334.9286 1263.212 6 7 2588.4 369.7714 973.1057 8 7 2625.9 375.1286 433.799 10 7 2861.5 408.7857 1793.218 12 7 3060.2 437.1714 675.8557 ANOVA Source of Variation SS df MS F P-value F crit Treatments 42867.98 4 10717.00 10.43 2.05E-05 4.017877 Error 30835.15 30 1027.84 Total 73703.13 34

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