The power of supercomputers derives from the idea of parallel processing. Engineers at Cray Research are interested in determining whether one of two parallel processing designs produces faster average computing time, or whether the two designs are equally fast. The following are the results, in seconds, of independent random computation times using the two designs.

Assume that the two populations of computing time are normally distributed and that the two population variances are equal. Is there evidence that one parallel processing design allows for faster average computation than the other?

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Design 1 Design 2 2.6, 2.5, 2.0, 2.1, 2.6, 3.0, 2.0, 1.7, 2.3, 2.8, 1.9, 3.0, 2.5, 1.8, 2.2 2.3, 2.0, 2.4, 2.8, 3.1, 2.7 2.6