Set up the ANOVA table for this problem. (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
Error
Total
At the α = 0.05 level of significance, test whether the means for the three treatments are equal.
State the null and alternative hypotheses.
H₀: μA = μB = μC
Ha: μA ≠ μB ≠ μC
H₀: μA ≠ μB ≠ μC
Ha: μA = μB = μC
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: μA = μB = μC
H₀: μA = μB = μC
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 four decimal places.)
p-value =
State your conclusion.
Do not reject H₀. There is not sufficient evidence to conclude that the means for the three treatments are not equal.
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 sufficient evidence to conclude that the means for the three treatments are not equal.