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For each of the following situations a F* test statistic value has been found, and an ANOVA test is to be performed to test the

For each of the following situations a F* test statistic value has been found, and an ANOVA test is to be performed to test the null hypothesis that all treatment means are equal versus the alternative hypothesis that at least one mean differs. For a level of significance of 5%, find the degrees of freedom, the critical F values, the critical regions, and the test decision. An example is provided. Given Test Statistic Degrees Freedom Critical F State and Draw Critical Region Decision

(1m each part) (Total 12m)

Given Test Statistic

Degrees Freedom

Critical F

State and Draw Critical Region

Decision

EXAMPLE: Compare five groups with fiveobservations per group

n = 25

I=5 treatments

F* = 2.66

DFG = (I - 1) =

(5-1)=4

DFE= (n - I) = (25-5)= 20

F0.05 = 2.86 for (4,20) df

F > 2.86

image text in transcribed
2.86 Fail to Reject Region Critical Region (Rejection Region)

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