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Q. 6) [10] Theoretical question: In the first part of Q. 5, an SRS of six clusters was selected form 51 clusters. If you use

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Q. 6) [10] Theoretical question: In the first part of Q. 5, an SRS of six clusters was selected form 51 clusters. If you use two digits from the table of random numbers, you could do it by assigning digits 01 to Cluster 1, 02 to Cluster 2, ..., and digits 51 to Cluster 51. Then, you have to ignore two digit groups 52, 53, ..., 99, and 00 (thus, 49% of the table). (a) Prove that the following improved procedure would also provide an SRS of n clusters (without repetition), n

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