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An experiment design requires that six students who plan to attend graduate school be randomly selected from each of the three undergraduate colleges. Then two
An experiment design requires that six students who plan to attend graduate school be randomly selected from each of the three undergraduate colleges. Then two students from each college should be assigned randomly to each preparation program, resulting in a total of 18 students being used in the study. Let us assume that the randomly selected students participated in the preparation programs and then took the GMAT. The scores obtained are reported in the table below College Preparation Business Arts and Engineering Program Sciences 3-hour 500 540 480 review 580 460 400 1-day 460 560 420 program 540 620 480 10-week 540 600 480 course 600 580 410 Perform an analysis of variance with a = 0.05 to test for significant main and interaction effects. Statement of hypotheses: Ho: . There is no significant effect of the preparation program on the GMAT score. . There is no significant difference in the GMAT scores of the students from the different undergraduate colleges. . There is no interaction effect of the preparation program and the undergraduate college on the GMAT score.Ha: . There is a significant effect of the preparation program on the GMAT score. . There is a significant difference in the GMAT scores of the students from the different undergraduate colleges. . There is an interaction effect of the preparation program and the undergraduate college on the GMAT score. Construct ANOVA Summary Table (express answers in 2 decimal places) Source of SS df MS F(comp) F(crit) Decision Variation O Reject Ho Preparation Program ODo not reject Ho. O Reject Ho Undergraduate College ODO not rejectO Reject Ho Interaction ODo not reject Ho Within TotalConclusions: On the effect of the preparation program to the GMAT score: OThere is no significant effect of the preparation program on the GMAT score. OThere is a significant effect of the preparation program on the GMAT score. On the significant difference in the GMAT scores of the students from the different undergraduate colleges: OThere is no significant difference in the GMAT scores of the students from the different undergraduate colleges. OThere is a significant difference in the GMAT scores of the students from the different undergraduate colleges. On the effect of interaction of the preparation program and the undergraduate colleges to the GMAT scores: OThere is no interaction effect of the preparation program and the undergraduate colleges to the GMAT scores. OThere is an interaction effect of the preparation program and the undergraduate colleges to the GMAT scores
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