State the null and alternative hypotheses. O Hoi HA HB - HC H: Not all the population means are equal. O Hoi HA# HB# Hc Hgi HA= HB " Hc O Ho: At least two of the population means are equal. H: At least two of the population means are different. O Hoi HA- HB = HC Hgi HA# HB # HC O Ho: Not all the population means are equal. H3i HA = HB = HC 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 Hg. There is 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. Reject Ho. There is not sufficient evidence to conclude that the means of the three treatments are not equal. Do not reject H. There is not sufficient evidence to conclude that the means of the three treatments are not equal.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
Section: Chapter Questions
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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
B
1 10
9
8
2 12 6
4
Blocks 3 18 15 | 14
4 20 18 18
5 8 7
Use a = 0.05 to test for any significant differences.
State the null and alternative hypotheses.
O Ho: HA = HB = "c
H.: Not all the population means are equal.
O Ho: HA * HB # Hc
H: HA - HB = Hc
O Ho: At least two of the population means are equal.
H: At least two of the population means are different.
O Ho: HA = HB = HC
Ha: HA# HB # Hc
O Ho: Not all the population means are equal.
H: HA = HB = Hc
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 Reject H. There is sufficient evidence to conclude that the means of the three treatments are not equal.
O Reject H. 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.
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 B 1 10 9 8 2 12 6 4 Blocks 3 18 15 | 14 4 20 18 18 5 8 7 Use a = 0.05 to test for any significant differences. State the null and alternative hypotheses. O Ho: HA = HB = "c H.: Not all the population means are equal. O Ho: HA * HB # Hc H: HA - HB = Hc O Ho: At least two of the population means are equal. H: At least two of the population means are different. O Ho: HA = HB = HC Ha: HA# HB # Hc O Ho: Not all the population means are equal. H: HA = HB = Hc 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 Reject H. There is sufficient evidence to conclude that the means of the three treatments are not equal. O Reject H. 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.
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