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 = 30.1140. Sample size Sample mean score Sample standard deviation Soccer Athletes 87 30.90 3.93 Nonsoccer Athletes 96 29.94 5.34 Control 52 29.12 3.58 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 α = 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? O Reject Ho. The data provide convincing evidence that the means for Hopkins score are not the same for the three student populations. O Fail to reject Ho. The data provide convincing evidence the means for Hopkins score are not the same for the three student populations. O Fail to reject Ho. The data do not provide convincing evidence that the means for Hopkins score are not the same for the three student populations. O Reject Ho. 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 X = 30.1140.
Sample size
Sample mean score
Sample standard
deviation
Soccer
Athletes
87
30.90
3.93
Nonsoccer
Athletes
96
29.94
5.34
Control
52
29.12
3.58
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
α = 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?
O Reject Ho. The data provide convincing evidence that the means for Hopkins score are not the same for the three student
populations.
O Fail to reject Ho. The data provide convincing evidence the means for Hopkins score are not the same for the three student
populations.
O Fail to reject Ho. The data do not provide convincing evidence that the means for Hopkins score are not the same for the
three student populations.
O Reject Ho. The data do not provide convincing evidence that the means for Hopkins score are not the same for the three
student populations.
Transcribed Image Text: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 X = 30.1140. Sample size Sample mean score Sample standard deviation Soccer Athletes 87 30.90 3.93 Nonsoccer Athletes 96 29.94 5.34 Control 52 29.12 3.58 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 α = 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? O Reject Ho. The data provide convincing evidence that the means for Hopkins score are not the same for the three student populations. O Fail to reject Ho. The data provide convincing evidence the means for Hopkins score are not the same for the three student populations. O Fail to reject Ho. The data do not provide convincing evidence that the means for Hopkins score are not the same for the three student populations. O Reject Ho. 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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