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The following data were obtained for a randomized block design involving five treatments and three blocks: SST = 470, SSTR = 310, SSBL = 85.

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The following data were obtained for a randomized block design involving five treatments and three blocks: SST = 470, SSTR = 310, SSBL = 85. Set up the ANOVA table. (Round your value for F to two decimal places, and your p-value to three decimal places.) Source Sum Degrees Mean of Variation of Squares of Freedom Square F p-value Treatments 310 4 87.5 X 9.33 X 0.004 X Blocks 85 2 47.5 X Error 75 8 V 9.375 Total 470 14 Test for any significant differences. Use a = 0.05. State the null and alternative hypotheses. O Ho: M1 = H2 = M3 = H4 = 15 Ha: Not all the population means are equal. O Ho: Not all the population means are equal. Ha: M1 = M2 = M3 = H4 = 15 O Ho: M 1 = 12 = M3 = H4 = 15 Ha: M1 # 12 # 13 # 14 $ 15 O Ho: At least two of the population means are equal. H: At least two of the population means are different. O HO: H 1 # 12 * 13 # 14 # 15 Ha: M1 = M2 = M3 = H4 = H5Find the value of the test statistic. (Round your answer to two decimal places.) 9.33 X Find the p-value. (Round your answer to three decimal places.) p-value = 0.004 X State your conclusion. Do not reject H . There is sufficient evidence to conclude that the means of the treatments are not all equal. O Do not reject H . There is not sufficient evidence to conclude that the means of the treatments are not all equal. Reject H . There is sufficient evidence to conclude that the means of the treatments are not all equal. Reject H. There is not sufficient evidence to conclude that the means of the treatments are not all equal

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