Question

Develop the analysis of variance computations for the following completely randomized design. At α = 0.05, is there a significant difference between the treatment means?

	Treatment
	A	B	C
	135	106	93
	120	114	82
	114	124	84
	106	104	102
	132	107	90
	115	108	117
	128	96	110
	102	115	120
		104	99
		82	93
xj	119	106	99
sj2	143.71	128.67	173.56

State the null and alternative hypotheses.

H₀: Not all the population means are equal.
H_a: μ_A = μ_B = μ_CH₀: μ_A ≠ μ_B ≠ μ_C
H_a: μ_A = μ_B = μ_C    H₀: At least two of the population means are equal.
H_a: At least two of the population means are different.H₀: μ_A = μ_B = μ_C
H_a: μ_A ≠ μ_B ≠ μ_CH₀: μ_A = μ_B = μ_C
H_a: 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 of the three treatments are not equal.Reject H₀. There is not sufficient evidence to conclude that the means of the three treatments are not equal.    Do not reject H₀. There is sufficient evidence to conclude that the means of the three treatments are not equal.Reject H₀. There is sufficient evidence to conclude that the means of the three treatments are not equal.

Answer 1

The statistical software output for this problem is :

H₀: At least two of the population means are equal.
H_a: At least two of the population means are different.

Test statistics = 6.04

P-value = 0.0072

Reject H₀. There is sufficient evidence to conclude that the means of the three

treatments are not equal.