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 Source Sum of Mean Square F Among groupsc-1=3 Among blocks r-1=7 Squares SSA = 210 SSBL = 540 MSBL = 77.1429 (Variance) MSA = 70 FSTAT =5.4444 FSTAT =6.0 MSE = 12.8571 (r-1)(c- 1) = 21 rc-1=31 SSE = 270 SST = 1020 Error Total 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: H1 "2. He H: Not all , are equal (where j= 1, 2, .., c) Determine the test statistic. FSTAT = 5.4444 (Type an integer or a decimal.) Calculate the p-value. p-value= (Round to three decimal places as needed.)

College Algebra (MindTap Course List)
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Chapter8: Sequences, Series, And Probability
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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 part A

A) What is the P-Value?

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
Among groups c-1=3
Among blocks r-1=7
SSA = 210
MSA = 70
FSTAT = 5.4444
SSBL = 540 MSBL = 77.1429
FSTAT = 6.0
(r- 1)(c- 1) = 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.
Ho: H1 = H2 =... = Hc
H1: Not all u are equal (where j= 1, 2, .., c)
Determine the test statistic.
FSTAT = 5.4444 (Type an integer or a decimal.)
Calculate the p-value.
p-value =
(Round to three decimal places as needed.)
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 Among groups c-1=3 Among blocks r-1=7 SSA = 210 MSA = 70 FSTAT = 5.4444 SSBL = 540 MSBL = 77.1429 FSTAT = 6.0 (r- 1)(c- 1) = 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. Ho: H1 = H2 =... = Hc H1: Not all u are equal (where j= 1, 2, .., c) Determine the test statistic. FSTAT = 5.4444 (Type an integer or a decimal.) Calculate the p-value. p-value = (Round to three decimal places as needed.)
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FSTAT  = 5.444

GIVEN 

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