Consider the following incomplete ANOVA table: Source SS DF MS F A 50.00 1 50.00 ? B

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Consider the following incomplete ANOVA table:

Source SS DF MS F A 50.00 1 50.00 ?

B 80.00 2 40.00 ?

AB 30.00 2 15.00 ?

Error ? 12 ?

Total 172.00 17 In addition to the ANOVA table you know that the experiment has been replicated three times and that the totals of the three replicates are 10, 12, and 14 respectively. The original experiment was run as a completely randomized design. Answer the following questions:

(a) The pure error estimate of the standard deviation of the sample observations is 1.

Yes No

(b) Suppose that the experiment had been run in blocks, so that it is an randomized complete block design. The number of degrees of freedom for blockswould be .

(c) The block sum of squares is .

(d) The error sum of squares in the randomized complete block design is now .

(e) For the randomized complete block design, what is the estimate of the standard deviation of the sample observations?

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