An experiment was conducted to study the effect of reinforced flanges on the torsional capacity of reinforced concrete T-beams (Journal of the American Concrete Institute, Jan.–Feb. 1986). Several different types of T-beams were used in the experiment, each type having a different flange width. The beams were tested under combined torsion and bending until failure (cracking). One variable of interest is the cracking torsion moment at the top of the flange of the T-beam. Cracking torsion moments for eight beams with 70-cm slab widths and eight beams with 100-cm slab widths follow:

a. Is there evidence of a difference in the variation in the cracking torsion moments of the two types of T-beams? Use α = .10.
b. What assumptions are required for the test to be valid?

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ТВЕАMS 70-ст Slab Width: 6.00, 7.20, 10.20, 13.20, 11.40, 13.60, 9.20, 11.20 100-ст Slab Width: 6.80, 9.20, 8.80, 13.20, 11.20, 14.90, 10.20, 11.80