4. Can a certain swim suit really make a swimmer faster? A study tested whether tive swimmers wea...
4. Can a certain swim suit really make a swimmer faster? A study tested whether tive swimmers wearing wetsuits influences swimming velocity. Twelve competi swam 1500 meters at maximum speed twice, once wearing a wetsu wearing a regular bathing suit. The order of the trials was randomized the maximum velocity of the swimmer in meters/second was are given below: Each time, recorded. The data Swimmerwetsuit no wetsuit 1.57 1.47 1.42 1.35 1.22 1.75 1.64 8 1.57 1.56 10 1.53 1.49 1.51 1.49 1.37 1.35 1.27 1.12 1.64 1.59 1.52 1.50 1.45 1.44 1.41 difference 0.08 0.10 0.07 0.08 0.10 0.11 0.05 0.05 0.06 0.08 0.05 0.10 12 mean =1.5067 mean= 1.4292 mean-0.07750 stdev-0.1363 stdev-0.1411 stdev-0.02 179 (Data from de Lucas et al, "The effects of wetsuits on physiological and biomechanical indices during swimming." Journal of Science and Medicine in Sport, 2000; 3(1):1-8 a) (5 points) Do these data provide evidence that wearing a wetsuit increases swimming velocity? State null and alternative hypotheses, calculate the test statistic, report the p-value and your conclusion. b) (5 points) Calculate and interpret a 99% confidence interval for the difference in average swimming wearing wetsuits velocity between swimmers wearing wetsuit and swimmers not
4. Can a certain swim suit really make a swimmer faster? A study tested whether tive swimmers wearing wetsuits influences swimming velocity. Twelve competi swam 1500 meters at maximum speed twice, once wearing a wetsu wearing a regular bathing suit. The order of the trials was randomized the maximum velocity of the swimmer in meters/second was are given below: Each time, recorded. The data Swimmerwetsuit no wetsuit 1.57 1.47 1.42 1.35 1.22 1.75 1.64 8 1.57 1.56 10 1.53 1.49 1.51 1.49 1.37 1.35 1.27 1.12 1.64 1.59 1.52 1.50 1.45 1.44 1.41 difference 0.08 0.10 0.07 0.08 0.10 0.11 0.05 0.05 0.06 0.08 0.05 0.10 12 mean =1.5067 mean= 1.4292 mean-0.07750 stdev-0.1363 stdev-0.1411 stdev-0.02 179 (Data from de Lucas et al, "The effects of wetsuits on physiological and biomechanical indices during swimming." Journal of Science and Medicine in Sport, 2000; 3(1):1-8 a) (5 points) Do these data provide evidence that wearing a wetsuit increases swimming velocity? State null and alternative hypotheses, calculate the test statistic, report the p-value and your conclusion. b) (5 points) Calculate and interpret a 99% confidence interval for the difference in average swimming wearing wetsuits velocity between swimmers wearing wetsuit and swimmers not