SOLUTION: The accompanying table shows the grades for three randomly selected samples of students in economics, statistics, and accounting classes. Test the hypothesis that the mean grades

Question 330952: The accompanying table shows the grades for three randomly selected samples of students in economics, statistics, and accounting classes. Test the hypothesis that the mean grades are the same for all three classes. Use .05 for the level of significance.

Economics(X1 ) / Statistics(X2 ) / Accounting(X3 )
80 / 100 / 95
90 / 90 / 90
70 / 90 / 88
100 / 75 / 82
60 / 95 / 85
100 / / 60
80//
60//

Answer by jrfrunner(365) (Show Source): You can put this solution on YOUR website!
This is a one way anova, which can be done by hand but I used MSExcel
to get an anova table
Ho: Mean(econ)=Mean(stat)=Mean(acc)
Ha: not all means are equal

ANOVA
Source of Variation SS df MS F P-value F crit
Between 308.7 2 154.4 0.85 0.445 3.63
Withins 2901.3 16 181.3

Total 3210.1 18
as can see the pvalue =0.445 which exceeds the alpha value of 0.05 therefore we cannot reject HO, this can also be seen by the fact that Ftest=0.85< Fcrit=3.63

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