The following data are from a completely randomized design. In the following calculations, use a = 0.05. Treatment Treatment Treatment 1 3 62 82 69 46 73 53 53 89 61 39 60 45 50 76 57 96.67 156.67 106.67 (a) Use analysis of variance to test for a significant difference among the means of the three treatments. State the null and alternative hypotheses. O Ho: Not all the population means are equal. Hgi Hy = Hz = Hz O Hoi Hy # Hz # H3 H3i Hy = H2 = H3 Ho: At least two of the population means are equal. H: At least two of the population means are different. Hoi Hy = Hz = Hg H3: Not all the population means are equal. Hoi Hq = Hz = Hz Hgi Hy # Hz # Hz Find the value of the test statistic. (Round your answer to two decimal places.) 6.03 Find the p-value. (Round your answer to three decimal places.) p-value = 0.022

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The following data are from a completely randomized design. In the following calculations, use a = 0.05.
Treatment
Treatment
Treatment
1
3
62
82
69
46
73
53
53
89
61
39
60
45
50
76
57
96.67
156.67
106.67
(a) Use analysis of variance to test for a significant difference among the means of the three treatments.
State the null and alternative hypotheses.
O Ho: Not all the population means are equal.
H3: H1 = H2 = H3
O Ho: Hq # Hz # H3
Ha: H1 = H2 = H3
O H: At least two of the population means are equal.
H: At least two of the population means are different.
O Ho: H1 = H2 = H3
H: Not all the population means are equal.
O Ho: Hq = H2 = H3
Find the value of the test statistic. (Round your answer to two decimal places.)
6.03
Find the p-value. (Round your answer to three decimal places.)
p-value = 0.022
Transcribed Image Text:The following data are from a completely randomized design. In the following calculations, use a = 0.05. Treatment Treatment Treatment 1 3 62 82 69 46 73 53 53 89 61 39 60 45 50 76 57 96.67 156.67 106.67 (a) Use analysis of variance to test for a significant difference among the means of the three treatments. State the null and alternative hypotheses. O Ho: Not all the population means are equal. H3: H1 = H2 = H3 O Ho: Hq # Hz # H3 Ha: H1 = H2 = H3 O H: At least two of the population means are equal. H: At least two of the population means are different. O Ho: H1 = H2 = H3 H: Not all the population means are equal. O Ho: Hq = H2 = H3 Find the value of the test statistic. (Round your answer to two decimal places.) 6.03 Find the p-value. (Round your answer to three decimal places.) p-value = 0.022
(b) 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.
=
Which treatment means differ significantly? (Select all that apply.)
O There is a significant difference between the means for treatments 1 and 2.
O There is a significant difference between the means for treatments 1 and 3.
O There is a significant difference between the means for treatments 2 and 3.
O There are no significant differences.
Transcribed Image Text:(b) 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. = Which treatment means differ significantly? (Select all that apply.) O There is a significant difference between the means for treatments 1 and 2. O There is a significant difference between the means for treatments 1 and 3. O There is a significant difference between the means for treatments 2 and 3. O There are no significant differences.
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