4. The distribution of the F-ratios Aa Aa A Let\'s say that a researcher conduct

Question

4. The distribution of the F-ratios Aa Aa A Let's say that a researcher conducts a study with 4 groups, each with 7 participants. Fill in the degrees of freedom in the following ANOVA table. 4 ource dr MS F Betwe 39.62 8.70 With 23 Use the following Distributions tool to find the boundary for the critical region at a 05 and a 01 To use the tool to find the critical F value, set both the numerator and the denominator degrees of freedom; this will show you the appropriate F distribution. Move the orange line until the area in the tail is equivalent to the alpha level you are investigating. F Distribution Numerator Degrees of Freedom 26 Denominator Degrees of Freedom 25 B At the a .05 level of significance, the boundary of the critical region for this ANOVA is: Q 4.718 O 4.938 O 3.098 3,009 o 3.009 the a 01 level of significance, the boundary of the critical region for this ANovA is: 04.938

Explanation / Answer

N=4*7=28, K=4

Hence df(Between)=k-1=3

a)df(Within)=N-k=28-4=24

b)F(0.05,3,24)=3.009

c)F(0.01,3.24)=4.718

d)As F stat=8.7>4.718,we reject Null hypothesis

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