Overview
You are an industrial engineer responsible for a process which produces trusses used for supporting various sections used in bridge construction. You perform a study of the various material properties. One of the key ones being axial stiffness of the plates. Your study yielded the following observations on the axial stiffness index (kips/in.) for several plate lengths produced at a facility.
Stiffness in Samples | |||||||
Plate Length: | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
4 | 309.2 | 409.5 | 311.0 | 326.5 | 316.8 | 349.8 | 309.7 |
6 | 402.1 | 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 | 346.7 | 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 the variation in plate length have any effect on the true average axial stiffness? State and test the relevant hypotheses using analysis of variance (ANOVA) at a significance level of 0.01 (1%). In addition to your conclusion, are there any recommendations you would make based on the results?
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