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

(a) The researcher wants to test H0: µ1 = µ2 = µ3 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 95% Simultaneous Confidence Intervals
Response Variable Response
All Pairwise Comparisons among Levels of Treatment

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Source df 6 1637.81 707.43 413.90 20 2759.14 MS 272.968 353.714 10.25 0.003 34.492 7.91 0.001 Block Treatment Error Total 12 Treatment =1 subtracted from: Treatment Lower Center Upper -3.511 4.857 13.23 (- --) 3 5.631 14.000 22.37 (-- --> 7.0 ---+- 0.0 14.0 21.0 Treatment = 2 subtracted from: Treatment Lower Center Upper 9.143 17.51 0.7743 (---- --+- --- 21.0 0.0 7.0 14.0