Question: Given the following ANOVA output, answer the questions that follow: (a) The researcher wants to test H0: 1 = 2 = 3 against H1: at

Given the following ANOVA output, answer the questions that follow:

df 4 MS 192.067 139.267 17.517 Source Block Treatment Brror Total 10.96 0.002 0.013 768.27 278.53 140.13 1186.93 7.95 14

(a) The researcher wants to test H0: Âµ1 = Âµ2 = Âµ3 against H1: at least one of the means is different. Based on the ANOVA table, what should the researcher conclude?
(b) What is the mean square due to error?
(c) The following output represents the results of Tukey's test. What should the researcher conclude?
Tukey Simultaneous Tests
Response Variable Response
All Pairwise Comparisons among Levels of Treatment

Treatment =1 subtracted from: SE of of Means Difference Treat- Difference Adjusted P- Value ment T-Value -1.000 2.647 -0

df 4 MS 192.067 139.267 17.517 Source Block Treatment Brror Total 10.96 0.002 0.013 768.27 278.53 140.13 1186.93 7.95 14 Treatment =1 subtracted from: SE of of Means Difference Treat- Difference Adjusted P- Value ment T-Value -1.000 2.647 -0.3778 0.9251 3 8.600 2.647 3.2489 0.0282 Treatment = 2 subtracted from: SE of of Means Difference Treat- Difference Adjusted ment T-Value P-Value 9.600 2.647 3.627 0.0165

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