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
	137	106	92
	120	115	83
	113	124	84
	106	104	102
	130	108	89
	114	110	117
	130	97	111
	102	113	119
		105	98
		88	105
xj	119	107	100
sj2	155.14	97.11	170.44

State the null and alternative hypotheses.

H₀: μ_A = μ_B = μ_C
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: μ_A = μ_B = μ_C
H_a: μ_A ≠ μ_B ≠ μ_CH₀: μ_A ≠ μ_B ≠ μ_C
H_a: μ_A = μ_B = μ_CH₀: Not all the population means are equal.
H_a: μ_A = μ_B = μ_C

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 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.Do not 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:

Hence,

Hypotheses:

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

Test statistic = 5.79

P - value = 0.0086

Conclusion: Reject H₀. There is sufficient evidence to conclude that the means of the three treatments are not equal.