Question: Proportional allocation was used in the stratified sample in Example 3.2. It was noted, however, that variability was much higher in the West than in

Proportional allocation was used in the stratified sample in Example 3.2. It was noted, however, that variability was much higher in the West than in the other regions. Using the estimated variances in Example 3.2, and assuming that the sampling costs are the same in each stratum, find an optimal allocation for a stratified sample of size 300.
In Example 3.2
Proportional allocation was used in the stratified sample in Example

Number of Counties in Stratum 220 1054 1382 422 Number of Counties in Sample 21 103 135 41 Stratum Northeast North Central South West Total 3078 300

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