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The following data were obtained for a randomized block design involving five treatments and three blocks: SST = 500, SSTR = 370, SSBL = 75. Set up the ANOVA table. (Round your value for F to two decimal places, and your p-value to three decimal places.) Source of Variation Treatments 370 Blocks Error Sum of Squares Total 75 55 500 4 Degrees of Freedom 2 Ho: M₁ = H₂ = H3 = H4 = 45 на: M1 #H2 # И3 + 4 + 15 8 14 Test for any significant differences. Use a = 0.05. State the null and alternative hypotheses. о но: H1 # 12 # Из #H4 # H5 Ha: H₁ H₂ H3 = H4 = 15 Ho: M₁ = H₂=H3 = H4 = 15 H₂: Not all the population means are equal. O Ho: At least two of the population means are equal. H₂: At least two of the population means are different. O Ho: Not all the population means are equal. на: М1 =H2=из =H4=H5 Mean Square 33.5 x F p-value 0.0000

The following data were obtained for a randomized block design involving five treatments and three blocks: SST = 500, SSTR = 370, SSBL = 75. Set up the ANOVA table. (Round your value for F to two decimal places, and your p-value to three decimal places.) Source of Variation Treatments 370 Blocks Error Sum of Squares Total 75 55 500 4 Degrees of Freedom 2 Ho: M₁ = H₂ = H3 = H4 = 45 на: M1 #H2 # И3 + 4 + 15 8 14 Test for any significant differences. Use a = 0.05. State the null and alternative hypotheses. о но: H1 # 12 # Из #H4 # H5 Ha: H₁ H₂ H3 = H4 = 15 Ho: M₁ = H₂=H3 = H4 = 15 H₂: Not all the population means are equal. O Ho: At least two of the population means are equal. H₂: At least two of the population means are different. O Ho: Not all the population means are equal. на: М1 =H2=из =H4=H5 Mean Square 33.5 x F p-value 0.0000

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 8E
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The following data were obtained for a randomized block design involving five treatments and three blocks: SST (Round your value for F to two decimal places, and your p-value to three decimal places.) Source of Variation Treatments 370 Blocks Error Total Sum of Squares 75 55 500 # # # Ho: M₁ M₂ M3 M4 M5 M5 На: M1 = M2 = M3 =H4 = = Ho: M1 M2 = μ3 = M 4 На: M1 + M2 # M3 + M4 Test for any significant differences. Use α = 0.05. State the null and alternative hypotheses. 4 M5 #M5 2 Ho: M₁ = M₂ = M3 = M4 = M5 Ha: Not all the population means are equal. 8 = На: M1 = M2 = M3 = M4 Degrees of Freedom Ho: At least two of the population means are equal. Ha: : At least two of the population means are different. M5 14 Ho: : Not all the population means are equal. Mean Square 33.5 X F p-value 0.0000 = 500, SSTR = 370, SSBL = 75. Set up the ANOVA table.
Transcribed Image Text:The following data were obtained for a randomized block design involving five treatments and three blocks: SST (Round your value for F to two decimal places, and your p-value to three decimal places.) Source of Variation Treatments 370 Blocks Error Total Sum of Squares 75 55 500 # # # Ho: M₁ M₂ M3 M4 M5 M5 На: M1 = M2 = M3 =H4 = = Ho: M1 M2 = μ3 = M 4 На: M1 + M2 # M3 + M4 Test for any significant differences. Use α = 0.05. State the null and alternative hypotheses. 4 M5 #M5 2 Ho: M₁ = M₂ = M3 = M4 = M5 Ha: Not all the population means are equal. 8 = На: M1 = M2 = M3 = M4 Degrees of Freedom Ho: At least two of the population means are equal. Ha: : At least two of the population means are different. M5 14 Ho: : Not all the population means are equal. Mean Square 33.5 X F p-value 0.0000 = 500, SSTR = 370, SSBL = 75. Set up the ANOVA table.
Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value State your conclusion. Do not reject Ho. There is not sufficient evidence to conclude that the means of the treatments are not all equal. Do not reject Ho. There is sufficient evidence to conclude that the means of the treatments are not all equal. Reject Ho. There is not sufficient evidence to conclude that the means of the treatments are not all equal. Reject Ho. There is sufficient evidence to conclude that the means of the treatments are not all equal. = Need Help? Read It
Transcribed Image Text:Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value State your conclusion. Do not reject Ho. There is not sufficient evidence to conclude that the means of the treatments are not all equal. Do not reject Ho. There is sufficient evidence to conclude that the means of the treatments are not all equal. Reject Ho. There is not sufficient evidence to conclude that the means of the treatments are not all equal. Reject Ho. There is sufficient evidence to conclude that the means of the treatments are not all equal. = Need Help? Read It
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