Consider the experimental results for the following randomized block design. Make the calculations necessary to set up the analysis of variance table. Treatments A B 10 9 8 2 12 6 5 Blocks 3 18 15 14 20 18 18 8 6 8. Use a = 0.05 to test for any significant differences. State the null and alternative hypotheses. O Ho: At least two of the population means are equal. H,: At least two of the population means are different. O Họ: Not all the population means are equal. O Ho: HA - HB - Hc H,: 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. O Reject H,. There is not sufficient evidence to conclude that the means of the three treatments are not equal. O Do not reject Hg. There is not sufficient evidence to conclude that the means of the three treatments are not equal. Reject Ho. There is sufficient evidence to conclude that the means of the three treatments are not equal. Do not reject Hg. There is sufficient evidence to conclude that the means of the three treatments are not equal.

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Consider the experimental results for the following randomized block design. Make the calculations necessary to set up the analysis of
variance table.
Treatments
A BC
10
9
2 12 6 5
Blocks
3
18
15
14
4
20
18
18
8
6
Use a = 0.05 to test for any significant differences.
State the null and alternative hypotheses.
O Ho: At least two of the population means are equal.
H: At least two of the population means are different.
Ho: Not all the population means are equal.
Ho: HA = HB = "c
H: Not all the population means are equal.
%3D
O Ho: HA = HB = Hc
Ho: MA * MB * Mc
H: HA = MB = Hc
%3D
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 Hg. There is not 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 sufficient evidence to conclude that the means of the three treatments are not equal.
O Do not reject Hp. There is sufficient evidence to conclude that the means of the three treatments are not equal.
1.
Transcribed Image Text:Consider the experimental results for the following randomized block design. Make the calculations necessary to set up the analysis of variance table. Treatments A BC 10 9 2 12 6 5 Blocks 3 18 15 14 4 20 18 18 8 6 Use a = 0.05 to test for any significant differences. State the null and alternative hypotheses. O Ho: At least two of the population means are equal. H: At least two of the population means are different. Ho: Not all the population means are equal. Ho: HA = HB = "c H: Not all the population means are equal. %3D O Ho: HA = HB = Hc Ho: MA * MB * Mc H: HA = MB = Hc %3D 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 Hg. There is not 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 sufficient evidence to conclude that the means of the three treatments are not equal. O Do not reject Hp. There is sufficient evidence to conclude that the means of the three treatments are not equal. 1.
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