The following data are from a completely randomized design. In the following calculations, use = 0.05.

	Chemical A	Chemical B	Chemical C
	62	82	70
	46	71	55
	53	89	62
	39	62	41
xj	50	76	57
sj2	96.67	142.00	151.33

State the null and alternative hypotheses:

Find the value of the test statistic. (Round your answer to two decimal places.)

__________

Find the p-value. (Round your answer to three 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 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.

Use Fisher's LSD procedure to determine which means are different.

Find the value of LSD. (Round your answer to two decimal places.)

LSD = __________

Find the pairwise absolute difference between sample means for each pair of treatments:

|x₁ x₂| = __________

|x₁ x₃| = __________

|x₂ x₃| = __________

Which chemical means differ significantly? (Choose all that apply.)

-There is a significant difference between the means for chemicals 1 and 2.

-There is a significant difference between the means for chemicals 1 and 3.

-There is a significant difference between the means for chemicals 2 and 3.

-There are no significant differences.