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The summary of a randomized block experiment with four groups and eight blocks is given below in the following ANOVA summary table. Complete parts (a) and (b). Degrees of Freedom Mean Square (Variance) MSA = 70 Source Sum of Squares SSA = 210 Among groups c-1=3 Among blocks r-1=7 FSTAT 5.4444 FSTAT =6.0 SSBL = 540 MSBL = 77.1429 Error Total (r- 1(c- 1) = 21 SSE = 270 rc-1= 31 MSE = 12.8571 SST= 1020 a. At the 0.05 level of significance, is there evidence of a difference among the four group means? Determine the null and alternative hypotheses. Let c represent the number of groups and r represent the number of blocks. Họ: H: Not all H are equal (where j= 1, 2, ., c) Not all H, are equal (where i= 1, 2, .., r)

The summary of a randomized block experiment with four groups and eight blocks is given below in the following ANOVA summary table. Complete parts (a) and (b). Degrees of Freedom Mean Square (Variance) MSA = 70 Source Sum of Squares SSA = 210 Among groups c-1=3 Among blocks r-1=7 FSTAT 5.4444 FSTAT =6.0 SSBL = 540 MSBL = 77.1429 Error Total (r- 1(c- 1) = 21 SSE = 270 rc-1= 31 MSE = 12.8571 SST= 1020 a. At the 0.05 level of significance, is there evidence of a difference among the four group means? Determine the null and alternative hypotheses. Let c represent the number of groups and r represent the number of blocks. Họ: H: Not all H are equal (where j= 1, 2, ., c) Not all H, are equal (where i= 1, 2, .., r)

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 6E: List the sample space of each experiment. Tossing three coins
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The summary of a randomized block experiment with four groups and eight

blocks is given below in the following ANOVA summary table. Complete parts​ (a)

A)At the 0.05 level of​ significance, is there evidence of a difference among the four group​ means? Determine the null and alternative hypotheses. Let c represent the number of groups and r represent the number of blocks

The summary of a randomized block experiment with four groups and eight blocks is given below in the following ANOVA summary table. Complete parts (a) and (b). Degrees of Freedom Mean Square (Variance) Source Sum of F Squares SSA = 210 Among groups c-1=3 Among blocks r-1=7 FSTAT = 5.4444 FSTAT = 6.0 MSA = 70 SSBL = 540 MSBL = 77.1429 (г- 1/с - 1) %3 21 rc - 1=31 Error SSE = 270 MSE = 12.8571 Total SST = 1020 a. At the 0.05 level of significance, is there evidence of a difference among the four group means? Determine the null and alternative hypotheses. Let c represent the number of groups and r represent the number of blocks. Но Not all H; are equal (where j= 1, 2, ., c) H1 = H2 = .. = Hc H1 = H2 = ... = H. Not all H; are equal (where i= 1, 2, .., r)
Transcribed Image Text:The summary of a randomized block experiment with four groups and eight blocks is given below in the following ANOVA summary table. Complete parts (a) and (b). Degrees of Freedom Mean Square (Variance) Source Sum of F Squares SSA = 210 Among groups c-1=3 Among blocks r-1=7 FSTAT = 5.4444 FSTAT = 6.0 MSA = 70 SSBL = 540 MSBL = 77.1429 (г- 1/с - 1) %3 21 rc - 1=31 Error SSE = 270 MSE = 12.8571 Total SST = 1020 a. At the 0.05 level of significance, is there evidence of a difference among the four group means? Determine the null and alternative hypotheses. Let c represent the number of groups and r represent the number of blocks. Но Not all H; are equal (where j= 1, 2, ., c) H1 = H2 = .. = Hc H1 = H2 = ... = H. Not all H; are equal (where i= 1, 2, .., r)
The summary of a randomized block experiment with four groups and eight blocks is given below in the following ANOVA summary table. Complete parts (a) and (b). Degrees of Freedom Mean Square (Variance) Source Sum of F Squares SSA = 210 Among groups c-1=3 Among blocks r-1=7 FSTAT = 5.4444 FSTAT = 6.0 MSA = 70 SSBL = 540 MSBL = 77.1429 (г- 1/с - 1) %3 21 rc - 1=31 Error SSE = 270 MSE = 12.8571 Total SST = 1020 a. At the 0.05 level of significance, is there evidence of a difference among the four group means? Determine the null and alternative hypotheses. Let c represent the number of groups and r represent the number of blocks. Но Not all H; are equal (where j= 1, 2, ., c) H1 = H2 = .. = Hc H1 = H2 = ... = H. Not all H; are equal (where i= 1, 2, .., r)
Transcribed Image Text:The summary of a randomized block experiment with four groups and eight blocks is given below in the following ANOVA summary table. Complete parts (a) and (b). Degrees of Freedom Mean Square (Variance) Source Sum of F Squares SSA = 210 Among groups c-1=3 Among blocks r-1=7 FSTAT = 5.4444 FSTAT = 6.0 MSA = 70 SSBL = 540 MSBL = 77.1429 (г- 1/с - 1) %3 21 rc - 1=31 Error SSE = 270 MSE = 12.8571 Total SST = 1020 a. At the 0.05 level of significance, is there evidence of a difference among the four group means? Determine the null and alternative hypotheses. Let c represent the number of groups and r represent the number of blocks. Но Not all H; are equal (where j= 1, 2, ., c) H1 = H2 = .. = Hc H1 = H2 = ... = H. Not all H; are equal (where i= 1, 2, .., r)
Expert Solution
Step 1

From the given information, total number of groups c = 4.

Total number of blocks r = 8.

 

The ANOVA Summary table is,

 

Source

Degrees of freedom

Sum of Squares

Mean Square (Variance)

F

Among groups

c – 1 = 3

SSA = 210

MSA = 70

FSTAT = 5.4444

Among blocks

r – 1 = 7

SSBL = 540

MSBL = 77.1429

FSTAT = 6.0

Error

(r – 1)(c – 1) = 21

SSE = 270

MSE = 12.8571

  

Total

rc – 1 = 31

SST = 1020

    
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