The following data are from a completely randomized design.

	Treatment
A	B	C
	161	143	127
142	157	123
164	125	139
145	141	140
147	136	151
171	156	124
Sample mean	155	143	134
Sample variance	141.2	148.4	124.0

(a)Compute the sum of squares between treatments.

(b)Compute the mean square between treatments.

(c)Compute the sum of squares due to error.

(d)Compute the mean square due to error. (Round your answer to two decimal places.)

(e)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

(f)At the = 0.05 level of significance, test whether the means for the three treatments are equal.State the null and alternative hypotheses.H₀: _A = _B = _C H_a: Not all the population means are equal.H₀: _A = _B = _C H_a: _{A B C} H₀: At least two of the population means are equal. H_a: At least two of the population means are different.H₀: Not all the population means are equal. H_a: _A = _B = _CH₀: _{A B C} H_a: _A = _B = _CFind 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 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.

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 not sufficient evidence to conclude that the means for the three treatments are not equal.