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**Unformatted text preview: **larger nursery need to represent more people than the 10 people From the smaller nursery. 2. Lockhart City (a) I used the SAS program using sampling probability proportional to size. ±irst, I read the data From fgure A2 into SAS, and then I used SURVEYSELECT with PPS, and SIZE = number oF households in the county. I have chosen districts 51, 71, 62, 65, and 63. 1 (b) P(select household ij on frst draw) = P(select household j on frst draw | Cluster i selected on frst draw) × P(Cluster i selected on frst draw) = 1 M i M i K = 1 K = 1 19664 . (c) Yes. (d) Variance Estimates and CIs (calculated in R): i. deF = 3. Ignoring the ±pc ±or the SRS sample, ˆ V ( SRS ) = 0 . 19 ˆ V ( Complex ) = deff * ˆ V ( SRS ) = 3 * . 19 = 0 . 575 95% CI: 11 . 047 ± 1 . 96 . 575 = (9 . 55 , 12 . 54) 2...

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