Sample mean score 29.80 30.97 29.31 Sample standard deviation 3.72 5.19 3.79 In addition, = 30.17. 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 mean Hopkins score is not the same for the three student populations? Use a = 0.05. State the appropriate null and alternative hypotheses. (Let 4, Hz. and uz be the true means for the three different groups.) O Ho ! My # Mz # Mg H, : at least two of the three u,'s are the same Ho: My = Hz = Hz H, : all three of the u's are different Ho : at least two of the three u,'s are different O Ho : all three of the u's are different O HoI My = H2 = Mg H: at least two of the three u's are different Find the test statistic and P-value. (Use technology. Round your test statistic to two decimal places and your P-value to three decimal places.) F = P-value = State the conclusion in the problem context. We reject Ho. The data provide convincing evidence that the mean Hopkins Verbal Learning Test score is not the same for the three student populations. O we fail to reject Hg. The data do not provide convincing evidence that the mean Hopkins Verbal Learning Test score is not the same for the three student populations. We reject Ho. The data do not provide convincing evidence that the mean Hopkins Verbal Learning Test score is not the same for the three student populations. O we fail to reject Ho. The data provide convincing evidence that the mean Hopkins Verbal Learning Test score is not the same for the three student populations.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.5: Interpreting Data
Problem 1C
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A study compared three groups of college students (soccer athletes, nonsoccer athletes, and a comparison group consisting of students who did not participate in
intercollegiate sports) to see if the high incidence of head injuries among soccer players might affect memory recall. The following is information on scores from
the Hopkins Verbal Learning Test (which measures immediate memory recall).
Soccer
Nonsoccer
Comparison
Group
Group
Athletes
Athletes
Sample size
89
99
54
Sample mean score
29.80
30.97
29.31
Sample standard
deviation
3.72
5.19
3.79
In addition, X = 30.17. 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 mean Hopkins score is not the same for the three student populations? Use a = 0o.05.
State the appropriate null and alternative hypotheses. (Let u,, lg, and uz be the true means for the three different groups.)
H: at least two of the three u,'s are the same
O Ho : My = H2 = Hz
H: all three of the u's are different
O Ho : at least two of the three u's are different
O Ho : all three of the u's are different
O Ho : My = H2 = Hz
H: at least two of the three u,'s are different
Find the test statistic and P-value. (Use technology. Round your test statistic to two decimal places and your P-value to three decimal places.)
F =
P-value =
State the conclusion in the problem context.
O we reject Ho. The data provide convincing evidence that the mean Hopkins Verbal Learning Test score is not the same for the three student populations.
We fail to reject Ho. The data do not provide convincing evidence that the mean Hopkins Verbal Learning Test score is not the same for the three student
populations.
We reject Hn. The data do not provide convincing evidence that the mean Hopkins Verbal Learning Test score is not the same for the three student
populations.
O we fail to reject Hn. The data provide convincing evidence that the mean Hopkins Verbal Learning Test score is not the same for the three student
populations.
Transcribed Image Text:A study compared three groups of college students (soccer athletes, nonsoccer athletes, and a comparison group consisting of students who did not participate in intercollegiate sports) to see if the high incidence of head injuries among soccer players might affect memory recall. The following is information on scores from the Hopkins Verbal Learning Test (which measures immediate memory recall). Soccer Nonsoccer Comparison Group Group Athletes Athletes Sample size 89 99 54 Sample mean score 29.80 30.97 29.31 Sample standard deviation 3.72 5.19 3.79 In addition, X = 30.17. 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 mean Hopkins score is not the same for the three student populations? Use a = 0o.05. State the appropriate null and alternative hypotheses. (Let u,, lg, and uz be the true means for the three different groups.) H: at least two of the three u,'s are the same O Ho : My = H2 = Hz H: all three of the u's are different O Ho : at least two of the three u's are different O Ho : all three of the u's are different O Ho : My = H2 = Hz H: at least two of the three u,'s are different Find the test statistic and P-value. (Use technology. Round your test statistic to two decimal places and your P-value to three decimal places.) F = P-value = State the conclusion in the problem context. O we reject Ho. The data provide convincing evidence that the mean Hopkins Verbal Learning Test score is not the same for the three student populations. We fail to reject Ho. The data do not provide convincing evidence that the mean Hopkins Verbal Learning Test score is not the same for the three student populations. We reject Hn. The data do not provide convincing evidence that the mean Hopkins Verbal Learning Test score is not the same for the three student populations. O we fail to reject Hn. The data provide convincing evidence that the mean Hopkins Verbal Learning Test score is not the same for the three student populations.
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