We know that silk fibers are very tough but in short supply. Breakthroughs by one research group result in the summary statistics for the stress \((\mathrm{MPa})\) of synthetic silk fibers (Source: F. Teulé, et. al. (2012), Combining flagelliform and dragline spider silk motifs to produce tunable synthetic biopolymer fibers, Biopolymers, 

Use the 0.05 level of significance to test the claim that mean stress is largest for the small diameter fibers. Assume that both sampled populations have normal distributions with the same variance.

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Small diameter Large diameter n = 7 x = 123.0 $1 = 15.0 n = 6 y = 92.0 $2 = 21.0