a completely randomized design, seven experimental units were used for each of the five levels of the factor. Consider the llowing ANOVA table. Source Sum Degrees Mean p-value of Variation of Squares of Freedom Square Treatments 360 4 90 38.57 0.0000 Error 70 30 2.33 Total 430 34 a) What hypotheses are implied in this problem? H,: Not all the population means are equal. H.i Hq = Hz = Hz = H4 = Hs Ho: At least two of the population means are equal. : At least two of the population means are different. Ho: H1 # H2# Hz * H4* Hs Hi Hq = Hz = H3 = H4 = H5 O Ho: H1 = H2 = H3 = H4 = Hs : Not all the population means are equal. Ho: H1 = H2 = Hz = H4 = Hs Hi Hy # Hz# H3 * H4 # Hs 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 H,. Because the p-value s a = 0.05, we cannot reject Ho. Because the p-value > a = 0.05, we cannot reject Ho: Because the p-value > a = 0.05, we can reject Ho:
a completely randomized design, seven experimental units were used for each of the five levels of the factor. Consider the llowing ANOVA table. Source Sum Degrees Mean p-value of Variation of Squares of Freedom Square Treatments 360 4 90 38.57 0.0000 Error 70 30 2.33 Total 430 34 a) What hypotheses are implied in this problem? H,: Not all the population means are equal. H.i Hq = Hz = Hz = H4 = Hs Ho: At least two of the population means are equal. : At least two of the population means are different. Ho: H1 # H2# Hz * H4* Hs Hi Hq = Hz = H3 = H4 = H5 O Ho: H1 = H2 = H3 = H4 = Hs : Not all the population means are equal. Ho: H1 = H2 = Hz = H4 = Hs Hi Hy # Hz# H3 * H4 # Hs 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 H,. Because the p-value s a = 0.05, we cannot reject Ho. Because the p-value > a = 0.05, we cannot reject Ho: Because the p-value > a = 0.05, we can 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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