Let\'s say that a researcher conducts a study with 4 groups, each with 6 partici

Question

Let's say that a researcher conducts a study with 4 groups, each with 6 participants Fill in the degrees of freedom in the following ANOVA table. Use the following Distributions tool to find the boundary for the region at alpha = .05 and alpha = .01. To use the to find the critical F value, set both the numerator and denominator degrees of freedom, this show you the appropriate F distribution. the orange one until the area in the is equivalent to the alpha level you are At the alpha = .05 level of significant, the boundary of the critical region the this ANOVA is: 4.718 3.009 4.938 3.098 At the alpha = .01 level of significance, the boundary of the critical region of this ANOVA is: 4.938 3.098 3.009 4.718 Now use the tool to evaluate the F-ratio. To use the total to find F-ratio, set both the numerator and denominator degrees of freedom; this will show you the appropriate F-distribution. the orange one the area in the is equivalent to the alpha level your are At the alpha = .05 level of significance, your is: The null cannot be rejected The null can be rejected

Explanation / Answer

from above df for source =k-1 =4-1 =3

and for with in group =n-k =24-4=20

critical region for 0.05 level and 3,20 degree of freedom =3.098

critical region for 0.01 level and 3,20 degree of freedom =4.938

as F ratio test stat is higher then critical value, null hypothesis can be rejected

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