Question

You may need to use the appropriate technology to answer this 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
	136	106	93
	119	113	83
	113	126	84
	106	103	101
	132	107	90
	114	109	116
	129	98	111
	103	115	119
		105	97
		78	116
xj	119	106	101
sj2	149.14	155.33	187.56

State the null and alternative hypotheses.

tH₀: 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_C    

H₀: Not all the population means are equal.
H_a: μ_A = μ_B = μ_C

H₀: μ_A = μ_B = μ_C
H_a: Not all the population means are equal

H₀: μ_A ≠ μ_B ≠ μ_C
H_a: μ_A = μ_B = μ_C

_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 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 not sufficient evidence to conclude that the means of the three treatments are not equal

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

Answer 1

The statistical software output for this problem is :

Option D is correct.

Test statistics = 4.53

P-value = 0.0209

Option A is correct .