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# BA 303 - BUSINESS STATISTICS- Homework: Chapter 7, Problem 43

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 contains data from a sample of students. What conclusion can be reached using ANOVA?

The Excel Data Analysis Tool for ANOVA single factor with repetition will be used to conduct the analysis,

From the statement, the null and alternative hypotheses are :

Ho : There is no difference in the mean GMAT scores for students of different undergraduate backgrounds Ha : There is a difference in the mean GMAT scores for students of different undergraduate backgrounds

DATA SUMMARY

ANOVA ANALYSIS

p-value = 0.00

Let α = 0.05 5% level of significance

0.0 < 0.05

that is, p-value < 0.05 Hence, Ho is rejected

From the analysis above, at 5% (0.05) level of significance, it’s clear there is a difference in the mean GMAT scores for students of different undergraduate backgrounds. This means that the GMAT scores for students of different undergraduate backgrounds are different.

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