if the null hypothesis is rejected in, use the scheffe test when the sample size

Question

if the null hypothesis is rejected in, use the scheffe test when the sample sizes are unequal to test the differences between the means and the turkey test when the sample sizes are equal.
a) state claim
b) find critical value
c) compute the test value
d) decision
the expenditures (In dollars) per pupil for states in three sections of the country are listed below in data. using a= 0.10
can one conclude that there is a difference in means?
Eastern,    middle,   Western
4946.       6149.          5202
5963.        7451.          8505
6202.        6000.          6528
7243.        6479.          6911
6113

Explanation / Answer

H0: There is no difference between means of three groups

H1: There is a difference between means of three groups

alpha:10%

Test statistic:

From Excel

b) F critical value=2.9245

c) F cal=0.5829

d) Conclusion:

F cal< F ritical we donot reject the H0. Hence claim is not significant

Anova: Single Factor SUMMARY Groups Count Sum Average Variance Eastern 5 30467 6093.4 666822.3 Middle 4 26079 6519.75 425494.3 Western 4 27146 6786.5 1848735 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 1106287 2 553143.4 0.582871 0.576185 2.924466 Within Groups 9489977 10 948997.7 Total 10596264 12

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