You may need to use the appropriate technology to answer this question. An experiment has been conducted for four treatments with eight blocks. Complete the following analysis of variance table. (Round your values for mean squares and F to two decimal places, and your p-value to three decimal places.) Source of Variation Treatments Blocks Error Total Sum of Squares 2,700 400 4,500 Use α = 0.05 to test for any significant differences. State the null and alternative hypotheses. о но на = H2=Из = на H.: Not all the population means are equal. OH₂H₁ H₂ H3 #μ4 Degrees of Freedom H₂H₁ H₂ H3 = H4 O Ho: Not all the population means are equal. H₂: M₁ = μ₂ = μ3 = 44 Mean Square O Ho: At least two of the population means are equal. H₂: At least two of the population means are different. O H₂ H₁ H₂ H3 = 44 На: H1 #Hz # из # На 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 = F p-value State your conclusion. O Reject H. There is sufficient evidence to conclude that the means of the four treatments are not all equal. Do not reject Ho. There is not sufficient evidence to conclude that the means of the four treatments are not all equal. Do not reject Ho. There is sufficient evidence to conclude that the means of the four treatments are not all equal.

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An experiment has been conducted for four treatments with eight blocks. Complete the following analysis of variance table. (Round your
values for mean squares and F to two decimal places, and your p-value to three decimal places.)
Source
of Variation
Treatments
Blocks
Error
Total
Sum
of Squares
2,700
400
4,500
Use α = 0.05 to test for any significant differences.
State the null and alternative hypotheses.
O Hoi H₁ = H₂ = H3 = H4
H₂: Not all the population means are equal.
OH₂H₁ H₂ H3 #μ4
H₂: H₁ H₂ H3 = H4
Degrees
of Freedom
=
O H.: Not all the population means are equal.
H₁: M₁ = μ₂ = μ3 = 44
Mean
Square
Ho: At least two of the population means are equal.
H₂:
: At least two of the population means are different.
O H₁ H₁ = H₂ = H3 = 44
H₂H₁ H₂ H3 H4
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
F
p-value
State your conclusion.
O Reject Ho. There is sufficient evidence to conclude that the means of the four treatments are not all equal.
Do not reject Ho. There is not sufficient evidence to conclude that the means of the four treatments are not all equal.
Do not reject Ho. There is sufficient evidence to conclude that the means of the four treatments are not all equal.
Reject Ho. There is not sufficient evidence to conclude that the means of the four treatments are not all equal.
Transcribed Image Text:You may need to use the appropriate technology to answer this question. An experiment has been conducted for four treatments with eight blocks. Complete the following analysis of variance table. (Round your values for mean squares and F to two decimal places, and your p-value to three decimal places.) Source of Variation Treatments Blocks Error Total Sum of Squares 2,700 400 4,500 Use α = 0.05 to test for any significant differences. State the null and alternative hypotheses. O Hoi H₁ = H₂ = H3 = H4 H₂: Not all the population means are equal. OH₂H₁ H₂ H3 #μ4 H₂: H₁ H₂ H3 = H4 Degrees of Freedom = O H.: Not all the population means are equal. H₁: M₁ = μ₂ = μ3 = 44 Mean Square Ho: At least two of the population means are equal. H₂: : At least two of the population means are different. O H₁ H₁ = H₂ = H3 = 44 H₂H₁ H₂ H3 H4 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 F p-value State your conclusion. O Reject Ho. There is sufficient evidence to conclude that the means of the four treatments are not all equal. Do not reject Ho. There is not sufficient evidence to conclude that the means of the four treatments are not all equal. Do not reject Ho. There is sufficient evidence to conclude that the means of the four treatments are not all equal. Reject Ho. There is not sufficient evidence to conclude that the means of the four treatments are not all equal.
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