Given the following sample data Based on the computations for the within- and between-sample variation,develop the ANOVA table and test the appropriate null hypothesis using alpha= 0.05.Use the p-value approach. A)Since p-value = 0.0678 0.05 reject H₀ and conclude that at least two population means are different. B)Since p-value = 0.000136 0.05 accept H₀ and conclude that all population means are the same. D)Since p-value = 0.000136

Question

Given the following sample data Based on the computations for the within- and between-sample variation,develop the ANOVA table and test the appropriate null hypothesis using alpha= 0.05.Use the p-value approach. A)Since p-value = 0.0678 > 0.05 reject H₀ and conclude that at least two population means are different. B)Since p-value = 0.000136 < 0.05 reject H₀ and conclude that at least two population means are different. C)Since p-value = 0.0678 > 0.05 accept H₀ and conclude that all population means are the same. D)Since p-value = 0.000136 < 0.05 accept H₀ and conclude that all population means are the same.

Quizplus · Accepted Answer

The ANOVA table would show the calculations for the between-sample variation and the within-sample variation. The null hypothesis for ANOVA is that all population means are equal. The alternative hypothesis is that at least two population means are different. The p-value approach would involve comparing the calculated test statistic to the critical value of F. If the p-value is less than the level of significance, we reject the null hypothesis and conclude that at least two population means are different. In this case, since the p-value is 0.000136, which is less than 0.05, we reject H₀ and conclude that at least two population means are different. Therefore, the best choice is B.

Given the Following Sample Data Based on the Computations