Mathematics, 26.02.2020 05:58 marelinatalia2000
A recent college graduate is in the process of deciding which one of three graduate schools he should apply to. He decides to judge the quality of the schools on the basis of the Graduate Management Admission Test (GMAT) scores of those who are accepted into the school. A random sample of six students from each school was taken. Basic statistics and an ANOVA table are provided below.
Source DF SS MS F P Variable N Mean StDev
Factor 2 47511 23756 8.61 0.003 School 1 6 646.7 47.6
Error 15 41400 2760 School 2 6 606.7 68.9
Total 17 88911 School 3 6 523.3 35.6
Assuming all assumptions hold, can he infer at the 10% significance level that the GMAT scores differ among the three schools?
Hypotheses:
Test Statistic P-value statement and p-value
Conclusions and Interpretation (i. e. make a decision and answer the question being posed in one sentence).
Given the F-critical value from the Bonferroni method is + 2.684 and that the pooled standard deviation is 52.54, which of the pairwise differences is significant? Calculate three test statistics to help you answer this question. No hypotheses or conclusions necessary.
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