You may need to use the appropriate technology to answer this question.

The following data are from a completely randomized design.

	Treatment A	Treatment B	Treatment C
	32	45	34
	29	44	37
	29	45	35
	27	46	37
	28	40	32
Sample mean	29	44	35
Sample variance	3.50	5.50	4.50

(a)

At the = 0.05 level of significance, can we reject the null hypothesis that the means of the three treatments are equal?

State the null and alternative hypotheses.

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 = _C H₀: _A = _B = _C H_a: _{A B C}H₀: _{A B C} H_a: _A = _B = _CH₀: _A = _B = _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 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.

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.

Use Fisher's LSD procedure to test whether there is a significant difference between the means for treatments A and B, treatments A and C, and treatments B and C. Use = 0.05.

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.

|x_A x_B|=

|x_A x_C|=

|x_B x_C|=

Which treatment means differ significantly? (Select all that apply.)

There is a significant difference between the means for treatments A and B.

There is a significant difference between the means for treatments A and C.

There is a significant difference between the means for treatments B and C.

There are no significant differences.

(c)

Use Fisher's LSD procedure to develop a 95% confidence interval estimate of the difference between the means of treatments A and B. (Use

x_A x_B.

Round your answers to two decimal places.)

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