The following data are from a completely randomized design. In the following calculations, use a = Treatment Treatment Treatment 63 82 68 46 71 55 53 89 61

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Find the value of the test statistic. (Round your answer to two decimal places.)
lliti
Find the p-value. (Round your answer to three decimal places.)
p-value
%3D
State your condusion.
O Do not reject H,. There is sufficient evidence to conclude that the means of the three treatments are not equal.
O Do not reject H,. There is not sufficient evidence to conclude that the means of the three treatments are not equal.
Reject H. There is not sufficient evidence to conclude that the means of the three treatments are not equal.
O Reject H.. There is sufficient evidence to conclude that the means of the three treatments are not equal.
(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.
X.
%3D
X,
%3D
Which treatment means differ significantly? (Select all that apply.)
OThere is a significant difference between the means for treatments 1 and 2.
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:Find the value of the test statistic. (Round your answer to two decimal places.) lliti Find the p-value. (Round your answer to three decimal places.) p-value %3D State your condusion. O Do not reject H,. There is sufficient evidence to conclude that the means of the three treatments are not equal. O Do not reject H,. There is not sufficient evidence to conclude that the means of the three treatments are not equal. Reject H. There is not sufficient evidence to conclude that the means of the three treatments are not equal. O Reject H.. There is sufficient evidence to conclude that the means of the three treatments are not equal. (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. X. %3D X, %3D Which treatment means differ significantly? (Select all that apply.) OThere is a significant difference between the means for treatments 1 and 2. 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.
You may need to use the appropriate technology to answer this question.
The following data are from a completely randomized design. In the following calculations, use a – 0.05.
Treatment
Treatment
3.
Treatment
63
82
68
46
71
55
53
61
68
46
70
52,
52
78
59
5.
64.67
83.33
50.00
(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 H At least two of the population means are equal.
H: At least two of the population means are different.
%3D
H Not all the population means are equal.
O H Not all the population means are equal.
Transcribed Image Text:You may need to use the appropriate technology to answer this question. The following data are from a completely randomized design. In the following calculations, use a – 0.05. Treatment Treatment 3. Treatment 63 82 68 46 71 55 53 61 68 46 70 52, 52 78 59 5. 64.67 83.33 50.00 (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 H At least two of the population means are equal. H: At least two of the population means are different. %3D H Not all the population means are equal. O H Not all the population means are equal.
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