A college is trying to determine if there is a significant difference in the mea

Question

A college is trying to determine if there is a significant difference in the mean GMAT score of students from different undergraduate backgrounds who apply to the MBA program. The Excel file GMAT Scores contain data from a sample of students. What conclusion can be reached using ANOVA?

GMAT Scores Undergraduate Major Business Liberal Arts Sciences 575 562 601 590 578 600 585 584 584 588 570 593 579 565 602 593 572 587 570 573 592 565 597 598 604 605 580 590 610 572 590 583 594 610 589 612 588 586

Explanation / Answer

after applying ANOVA on above data:

as p value is significantly small, we reject null that mean are equal and conclude that at least 2 mean are diffierent

SUMMARY Groups Count Sum Average Variance Business 13 7593 584.0769 134.5769 Liberal Arts 7 4004 572 55.66667 Sciences 18 10719 595.5 90.85294 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 2983.945 2 1491.973 14.94782 2.03E-05 3.267424 Within Groups 3493.423 35 99.81209 Total 6477.368 37

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