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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 в 1 10 9 8 2 12| 6 5 Blocks 3 18 15 14 4 20 18 18 5 8 8 8 Use a = 0.05 to test for any significant differences. State the null and alternative hypotheses. Ho: At least two of the population means are equal. Ha: At least two of the population means are different. Ho: HA + HB + HC Ha: HA = HB = #C Ho: HA = HB = #C Ha: HA * HB * HC o Ho: HA = HB = HC Ha: Not all the population means are equal. Ho: Not all the population means are equal. Ha: HA = HB = "C Find the value of the test statistic. (Round your answer to two decimal places.) 8.94 Find the p-value. (Round your answer to three decimal places.) p-value = 0.009 State your conclusion. o 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 Ho. There is not sufficient evidence to conclude that the means of the three treatments are not equal. Do not reject Ho. There is sufficient evidence to conclude that the means of the three treatments are not equal.

Consider the experimental results for the following randomized block design. Make the calculations necessary to set up the analysis of variance table. Treatments A в 1 10 9 8 2 12| 6 5 Blocks 3 18 15 14 4 20 18 18 5 8 8 8 Use a = 0.05 to test for any significant differences. State the null and alternative hypotheses. Ho: At least two of the population means are equal. Ha: At least two of the population means are different. Ho: HA + HB + HC Ha: HA = HB = #C Ho: HA = HB = #C Ha: HA * HB * HC o Ho: HA = HB = HC Ha: Not all the population means are equal. Ho: Not all the population means are equal. Ha: HA = HB = "C Find the value of the test statistic. (Round your answer to two decimal places.) 8.94 Find the p-value. (Round your answer to three decimal places.) p-value = 0.009 State your conclusion. o 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 Ho. There is not sufficient evidence to conclude that the means of the three treatments are not equal. Do not reject Ho. There is sufficient evidence to conclude that the means of the three treatments are not equal.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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You may need to use the appropriate technology to answer this question. Consider the experimental results for the following randomized block design. Make the calculations necessary to set up the analysis of variance table. Treatments ABC 9 8 12 6 1 10 2 Blocks 3 18 15 14 4 20 18 18 8 8 8. Use a = 0.05 to test for any significant differences. State the null and alternative hypotheses. Ho: At least two of the population means are equal. Ha: At least two of the population means are different. Ho: HA # HB # HC Ha: HA = HB = "C Ho: HA = HB = #C Ha: HA + HB * MC o Ho: HA = HB = "C Ha: Not all the population means are equal. Ho: Not all the population means are equal. Ha: HA = "B = "C Find the value of the test statistic. (Round your answer to two decimal places.) 8.94 Find the p-value. (Round your answer to three decimal places.) p-value = 0.009 State your conclusion. lo 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 Ho: There is not sufficient evidence to conclude that the means of the three treatments are not equal. Do not reject Ho. There is sufficient evidence to conclude that the means of the three treatments are not equal.
Transcribed Image Text:You may need to use the appropriate technology to answer this question. Consider the experimental results for the following randomized block design. Make the calculations necessary to set up the analysis of variance table. Treatments ABC 9 8 12 6 1 10 2 Blocks 3 18 15 14 4 20 18 18 8 8 8. Use a = 0.05 to test for any significant differences. State the null and alternative hypotheses. Ho: At least two of the population means are equal. Ha: At least two of the population means are different. Ho: HA # HB # HC Ha: HA = HB = "C Ho: HA = HB = #C Ha: HA + HB * MC o Ho: HA = HB = "C Ha: Not all the population means are equal. Ho: Not all the population means are equal. Ha: HA = "B = "C Find the value of the test statistic. (Round your answer to two decimal places.) 8.94 Find the p-value. (Round your answer to three decimal places.) p-value = 0.009 State your conclusion. lo 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 Ho: There is not sufficient evidence to conclude that the means of the three treatments are not equal. Do not reject Ho. There is sufficient evidence to conclude that the means of the three treatments are not equal.
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