Find the degree of freedom, F alpha, & state the conclusion (reject the H0 or Fa

Question

Find the degree of freedom, F alpha, & state the conclusion (reject the H0 or Fail to reject the H0 for given F-statistics) for the followings: 1- ANOVA test performed to compare 3 samples with sample sizes (n1 = 6, n2 = 35, n3 = 7); alpha = 0.05; F statistics = 5.28 2- ANOVA test performed to compare 6 samples with sample sizes (n1 = 9, n2 = 3, n3 = 9, n4 = 5, n5 = 3, n6 = 3); alpha = 0.025; F statistics = 7.136 3- ANOVA test performed to compare 4 samples with sample sizes (n1 = 12, n2 = 4, n3 = 6, n4 = 5); alpha = 0.01; F statistics = 1.85 4- ANOVA test performed to compare 4 samples with sample sizes (n1 = 6, n2 = 5, n3 = 7, n4 = 6), alpha = 0.05; F statistics = -5.28 5- ANOVA test performed to compare 8 samples with sample sizes (n1 = 6, n2 = 5, n3 = 7, n4 = 6, n5 = 10, n6 = 9, n7 = 8, n8 = 10); alpha = 0.025; F statistics = 0.899

Explanation / Answer

(1)
DF1 = 2 and DF2 = 18 - 3 = 15
F(alpha) = 3.68
As F-statistics 5.38 is greater than F(alpha), reject null hypothesis.

(2)
DF1 = 5 and DF2 = 32 - 6 = 26
F(alpha) = 6.27
As F-statistics 3.10 is less than F(alpha), we faile to reject null hypothesis.

(3)
DF1 = 3 and DF2 = 27 - 4 = 23
F(alpha) = 4.76
As F-statistics 1.85 is less than F(alpha), we fail to reject null hypothesis.

(4)
DF1 = 3 and DF2 = 24 - 4 = 20
F(alpha) = -3.10
As F-statistics -5.28 is less than F(alpha), we reject null hypothesis.

(5)
DF1 = 7 and DF2 = 61 - 8 = 53
F(alpha) = 2.55
As F-statistics 0.899 is less than F(alpha), we fail to reject null hypothesis.

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