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An experiment has been conducted for four treatments with seven 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 |
Sum of Squares |
Degrees of Freedom |
Mean Square |
F | p-value |
---|---|---|---|---|---|
Treatments | 300 | ||||
Blocks | 700 | ||||
Error | 100 | ||||
Total | 1,100 |
Use α = 0.05 to test for any significant differences.
State the null and alternative hypotheses.
H0: μ1 =
μ2 = μ3 =
μ4
Ha: μ1 ≠
μ2 ≠ μ3 ≠
μ4H0: At least two of the
population means are equal.
Ha: At least two of the population means are
different. H0: Not all
the population means are equal.
Ha: μ1 =
μ2 = μ3 =
μ4H0:
μ1 ≠ μ2 ≠
μ3 ≠ μ4
Ha: μ1 =
μ2 = μ3 =
μ4H0:
μ1 = μ2 =
μ3 = μ4
Ha: Not all the population means are equal.
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 =
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