Do wet suits allow a swimmer to swim faster? Researchers measured the speed (in meters per second) of swimmers both with and without a wetsuit. The results of the study are shown in the table. Conduct the appropriate test to determine whether the data suggest that wet suits allow a swimmer to swim faster. Be sure to check all model requirements. Use an a = 0.05 level of significance. If you reject the null hypothesis, estimate the average difference in speed of the swimmer with the wet suit with 95% confidence.

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Swimmer Without 1.49 1.37 1.35 1.27 1.12 1.64 1.57 With 1.47 1.42 1.35 1.22 1.75 Swimmer 9. 10 11 12 Without 1.59 1.52 1.50 1.45 1.44 1.41 With 1.64 1.57 1.56 1.53 1.49 1.51