You may need to use the appropriatetechnologyto answer this question The following data are from a completely randomized design Treatment A Treatment B Treatment C 31 45 32 29 42 37 29 43 36 26 45 36 35 50 39 Sample mean 30 45 36 Sample variance 11 00 9 50 6 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 H 0 A B C H a A B C H 0 At least two of the population means are equal H a At least two of the population means are different H 0 A B C H a Not all the population means are equal H 0 A B C H a A B C H 0 Not all the population means are equal H a A B C 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 Do not reject H 0 There is sufficient evidence to conclude that the means of the three treatments are not equal Do not reject H 0 There is not sufficient evidence to conclude that the means of the three treatments are not equal Reject H 0 There is not sufficient evidence to conclude that the means of the three treatments are not equal Reject H 0 There is sufficient evidence to conclude that the means of the three treatments are not equal (b)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 ) to

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You may need to use the appropriatetechnologyto answer this question.The following data are from a completely randomized design. Treatment A Treatment B Treatment C 31

You may need to use the appropriatetechnologyto answer this question.The following data are from a completely randomized design.

	Treatment A	Treatment B	Treatment C
	31	45	32
29	42	37
29	43	36
26	45	36
35	50	39
Sample mean	30	45	36
Sample variance	11.00	9.50	6.50

(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:_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:_A=_B=_C H_a: Not all the population means are equal.

H₀:_A=_B=_C H_a:_A_B_C

H₀: Not all the population means are equal. H_a:_A=_B=_C

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

Find thep-value. (Round your answer to three decimal places.)

p-value =

State your conclusion.

Do not rejectH₀. There is sufficient evidence to conclude that the means of the three treatments are not equal.

Do not rejectH₀. There is not sufficient evidence to conclude that the means of the three treatments are not equal.

RejectH₀. There is not sufficient evidence to conclude that the means of the three treatments are not equal.

RejectH₀. There is sufficient evidence to conclude that the means of the three treatments are not equal.

(b)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_Ax_B

x_Ax_C

x_Bx_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. (Usex_Ax_B.

Round your answers to two decimal places.) to