MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Transcribed Image Text:The following data are from a completely randomized design. In the following calculations, use a = 0.05.
Treatment
Treatment
Treatment
1
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: H1 * H2 * H3
Ha: H1 = H2 = Hz
O Ho: At least two of the population means are equal.
H: At least two of the population means are different.
O Ho: H, = H2 = H3
H: Not all the population means are equal.
O Ho: H1 = H2 = H3
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.
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.
O Reject Ho: There is not sufficient evidence to conclude that the means of the three treatments are not equal.
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