In a completely randomized design, 15 experimental units were used for the first treatment, 17 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 1,300 _____ ____ _ ______ Error ________ ______ ___ Total 2,000 ________ At a 0.05 level of significance, is there a significant difference between the treatments? State the null and alternative hypotheses.
In a completely randomized design, 15 experimental units were used for the first treatment, 17 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 | 1,300 | _____ | ____ | _ | ______ |
| Error | ________ | ______ | ___ | ||
| Total | 2,000 | ________ |
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
Ha: μ1 = μ2 = μ3
H0: 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
H0: μ1 = μ2 = μ3
Ha: Not all the population means are equal.
H0: μ1 = μ2 = μ3
Ha: 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.
(A) Do not reject H0. There is sufficient evidence to conclude that the means for the three treatments are not equal.
(B) Do not reject H0. There is not sufficient evidence to conclude that the means for the three treatments are not equal.
(C) Reject H0. There is sufficient evidence to conclude that the means for the three treatments are not equal.
(D) Reject H0. There is not sufficient evidence to conclude that the means for the three treatments are not equal.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
