In: Statistics and Probability
Research has shown that, for baseball players, good hip range of motion results in improved performance and decreased body stress. A research article reported on a study of independent samples of 40 professional pitchers and 40 professional position players. For the pitchers, the sample mean hip range of motion was 75.2 degrees and the sample standard deviation was 5.3 degrees, whereas the sample mean and sample standard deviation for position players were 79.2 degrees and 7.6 degrees, respectively. Assuming that the two samples are representative of professional baseball pitchers and position players, test hypotheses appropriate for determining if there is convincing evidence that the mean range of motion for pitchers is less than the mean for position players. (Use α = 0.05. Use μ1 for pitchers and μ2 for position players.)
Conclusion in problem context :
There is convincing evidence that the mean range of motion for pitchers is less than the mean for position players.