a. For the SRS from the Census of Agriculture data in the file agsrs.dat (discussed in Example

Question:

a. For the SRS from the Census of Agriculture data in the file agsrs.dat (discussed in Example 2.5), find the sample ANOVA table of acres92, using state as the cluster variable. Estimate R2a from the sample. Is there a clustering effect?
b. Suppose that c1 = 15c2, where c1 is the cost to sample a state, and c2 is the cost to sample a county within a state. What should m¯ be, if it is desired to sample a total of 300 counties? How many states would be sampled (that is, what is n)?

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