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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 75.8 degrees and the sample standard deviation was 5.6 degrees, whereas the sample mean and sample standard deviation for position players were 79.9 degrees and 7.2 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

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 75.8 degrees and the sample standard deviation was 5.6 degrees, whereas the sample mean and sample standard deviation for position players were 79.9 degrees and 7.2 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

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 75.8 degrees and the sample standard deviation was 5.6 degrees, whereas the sample mean and sample standard deviation for position players were 79.9 degrees and 7.2 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 

? = 0.05.

 Use ?1 for pitchers and ?2 for position players.)

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 75.8 degrees and the sample standard deviation was 5.6 degrees, whereas the sample mean and sample standard deviation for position players were 79.9 degrees and 7.2 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 a = 0.05. Use H1 for pitchers and H2 for position players.) State the appropriate null and alternative hypotheses. A USE SALT O Ho: H1 - H2 = 0 Hoi H1 - H2 # 0 O Ho: H1 - 42 + 0 H: H1 - H2 = 0 O Ho: H1 - H2 < 0 H3: H1 - H2 = 0 O Ho: H1 - H2 = 0 Hoi M1- Hz>0 Ha: H1 - H2 < 0 Find the test statistic and P-value. (Use SALT. Round your test statistic to one decimal place and your P-value to three decimal places.) t = P-value = State the conclusion in the problem context. We reject Ho. There is not convincing evidence that the mean range of motion for pitchers is less than the mean for position players. We reject Ho: There is convincing evidence that the mean range of motion for pitchers is less than the mean for position players. We fail to reject Ho. There is not convincing evidence that the mean range of motion for pitchers is less than the mean for position players. We fail to reject Ho. There is convincing evidence that the mean range of motion for pitchers is less than the mean for position players.
Transcribed Image Text: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 75.8 degrees and the sample standard deviation was 5.6 degrees, whereas the sample mean and sample standard deviation for position players were 79.9 degrees and 7.2 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 a = 0.05. Use H1 for pitchers and H2 for position players.) State the appropriate null and alternative hypotheses. A USE SALT O Ho: H1 - H2 = 0 Hoi H1 - H2 # 0 O Ho: H1 - 42 + 0 H: H1 - H2 = 0 O Ho: H1 - H2 < 0 H3: H1 - H2 = 0 O Ho: H1 - H2 = 0 Hoi M1- Hz>0 Ha: H1 - H2 < 0 Find the test statistic and P-value. (Use SALT. Round your test statistic to one decimal place and your P-value to three decimal places.) t = P-value = State the conclusion in the problem context. We reject Ho. There is not convincing evidence that the mean range of motion for pitchers is less than the mean for position players. We reject Ho: There is convincing evidence that the mean range of motion for pitchers is less than the mean for position players. We fail to reject Ho. There is not convincing evidence that the mean range of motion for pitchers is less than the mean for position players. We fail to reject Ho. There is convincing evidence that the mean range of motion for pitchers is less than the mean for position players.
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