(E) what is the conclusion?

Do wet suits allow a swimmer to swim faster? Researchers measured the speed (in meters per second) of swimmers both with and without a wet suit. 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. Swimmer 1 2 3 4 5 7 8 9 10 11 12 Sample With 1.57 1.47 1.42 1.35 1.22 1.75 1.64 1.57 1.56 1.53 1.49 1.51 1 Without 1.49 1.37 1.35 1.27 1.12 1.64 1.59 1.52 1.50|1.45 1.44 1.41 2 (a) What calculator function will you use? (Enter only the function as shown on your calculator, like T-Test, Z-Test, etc) (b) Determine the null and alternative hypotheses: (for u write mu, Ma write mu_d, uj write mu1, /2 write mu2, for o write sigma, for p write p, for * write not=) Ho : H1 : (c) Perform the hypothesis test. (Round all answers to the third decimal place.) Test Statistic: P-value: p= (d) Test the hypothesis at a significance level of 0.01. Results: (compare the appropriate data, and then determine if we must reject the null or cannot reject the null.) So we eject the null. (enter must or cannot)