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.
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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