An investigation was carried out to study possible consequences of the high incidence of head injuries among soccer players. Three groups of college students (soccer athletes, nonsoccer athletes, and a control group consisting of students who did not participate in intercollegiate sports) were considered in the study. The following table gives information on scores from the Hopkins Verbal Learning Test (which measures immediate memory recall). In addition  = 30.0391.   Soccer Athletes Nonsoccer Athletes Control Sample size 87 96 52 Sample mean score 30.90 29.54 29.52 Sample standard deviation 3.93 5.34 3.98 Suppose that it is reasonable to regard these three samples as random samples from the three student populations of interest. Is there sufficient evidence to conclude that the means for Hopkins score are not the same for the three student populations? Use  ? = 0.05.  (Round your answer to two decimal places.) F =  Use technology to find the P-value. (Round your answer to four decimal places.) P-value =  What can you conclude? Reject H0. The data provide convincing evidence that the means for Hopkins score are not the same for the three student populations.Fail to reject H0. The data provide convincing evidence the means for Hopkins score are not the same for the three student populations.    Fail to reject H0. The data do not provide convincing evidence that the means for Hopkins score are not the same for the three student populations.Reject H0. The data do not provide convincing evidence that the means for Hopkins score are not the same for the three student populations.

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An investigation was carried out to study possible consequences of the high incidence of head injuries among soccer players. Three groups of college students (soccer athletes, nonsoccer athletes, and a control group consisting of students who did not participate in intercollegiate sports) were considered in the study. The following table gives information on scores from the Hopkins Verbal Learning Test (which measures immediate memory recall). In addition  = 30.0391.
  Soccer
Athletes
Nonsoccer
Athletes
Control
Sample size 87 96 52
Sample mean score 30.90 29.54 29.52
Sample standard
deviation
3.93 5.34 3.98
Suppose that it is reasonable to regard these three samples as random samples from the three student populations of interest.
Is there sufficient evidence to conclude that the means for Hopkins score are not the same for the three student populations? Use 
? = 0.05.
 (Round your answer to two decimal places.)
F = 
Use technology to find the P-value. (Round your answer to four decimal places.)
P-value = 
What can you conclude?
Reject H0. The data provide convincing evidence that the means for Hopkins score are not the same for the three student populations.Fail to reject H0. The data provide convincing evidence the means for Hopkins score are not the same for the three student populations.    Fail to reject H0. The data do not provide convincing evidence that the means for Hopkins score are not the same for the three student populations.Reject H0. The data do not provide convincing evidence that the means for Hopkins score are not the same for the three student populations.
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