In a completely randomized design, seven experimental units were used for each of the five levels of the factor. Consider the following ANOVA table. Sum Degrees of Freedom Source Mean p-value of Variation of Squares Square Treatments 300 4 75 17.31 0.0000 Error 130 30 4.33 Total 430 34 (a) What hypotheses are implied in this problem? O Ho: Not all the population means are equal. Hai H1 = H2 = H3 = H4 = H5 O Ho: H1 = H2 = H3 = H4 = H5 H: Not all the population means are equal. O Ho: H1 + H2 * H3 # H4 # H5 Hai H1 = H2 = H3 = H4 = H5 O Ho: At least two of the population means are equal. H3: At least two of the population means are different. O Ho: H1 = H2 = H3 = H4 = Hs Ha: H1 # H2 # H3# H4# H5 (b) At the a = 0.05 level of significance, can we reject the null hypothesis in part (a)? Explain. Because the p-value s a = 0.05, we can reject Ho: O Because the p-value > a = 0.05, we can reject Ho. O Because the p-value s a = 0.05, we cannot reject Ho: O Because the p-value > a = 0.05, we cannot reject Ho:

In a completely randomized design, seven experimental units were used for each of the five levels of the factor. Consider the following ANOVA table. Sum Degrees of Freedom Source Mean p-value of Variation of Squares Square Treatments 300 4 75 17.31 0.0000 Error 130 30 4.33 Total 430 34 (a) What hypotheses are implied in this problem? O Ho: Not all the population means are equal. Hai H1 = H2 = H3 = H4 = H5 O Ho: H1 = H2 = H3 = H4 = H5 H: Not all the population means are equal. O Ho: H1 + H2 * H3 # H4 # H5 Hai H1 = H2 = H3 = H4 = H5 O Ho: At least two of the population means are equal. H3: At least two of the population means are different. O Ho: H1 = H2 = H3 = H4 = Hs Ha: H1 # H2 # H3# H4# H5 (b) At the a = 0.05 level of significance, can we reject the null hypothesis in part (a)? Explain. Because the p-value s a = 0.05, we can reject Ho: O Because the p-value > a = 0.05, we can reject Ho. O Because the p-value s a = 0.05, we cannot reject Ho: O Because the p-value > a = 0.05, we cannot reject Ho:

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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