In a completely randomized design, 11 experimental units were used for the first treatment, 19 for...

In a completely randomized design, 11 experimental units were used for the first treatment, 19 for the second treatment, and 20 for the third treatment. Complete the following analysis of variance. (Round your values for MSE and F to two decimal places, and your p-value to four decimal places.)

Source of Variation	Sum of Squares	Degrees of Freedom	Mean Square	F	p-value
Treatments	1,500
Error
Total	2,100

At a 0.05 level of significance, is there a significant difference between the treatments?

State the null and alternative hypotheses.

H₀: μ₁ = μ₂ = μ₃
H_a: Not all the population means are equal.H₀: At least two of the population means are equal.
H_a: At least two of the population means are different. H₀: Not all the population means are equal.
H_a: μ₁ = μ₂ = μ₃H₀: μ₁ = μ₂ = μ₃
H_a: μ₁ ≠ μ₂ ≠ μ₃H₀: μ₁ ≠ μ₂ ≠ μ₃
H_a: μ₁ = μ₂ = μ₃

Find the value of the test statistic. (Round your answer to two decimal places.)

Find the p-value. (Round your answer to four decimal places.)

p-value =

State your conclusion.

Reject H₀. There is sufficient evidence to conclude that the means for the three treatments are not equal.Do not reject H₀. There is sufficient evidence to conclude that the means for the three treatments are not equal. Reject H₀. There is not sufficient evidence to conclude that the means for the three treatments are not equal.Do not reject H₀. There is not sufficient evidence to conclude that the means for the three treatments are not equal.

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orchestra answered 1 year ago

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