Question: In the article Randomized Stratified Sampling Methodology for Water Quality in Distribution Systems (Journal of Water Resources Planning and Management, Vol. 130, Issue 4, pp.

In the article "Randomized Stratified Sampling Methodology for Water Quality in Distribution Systems" (Journal of Water Resources Planning and Management, Vol. 130, Issue 4, pp. 330-338), V. Speight et al. proposed the method of stratified sampling to collect water samples for water-quality testing. The following table separates the Durham, North Carolina water distribution system into strata based on distance from the nearest treatment plant.

Distance from treatment center ________________________ Stratum size

Less than 1.5 miles .................................................1310

1.5-less than 3.0 miles .............................................3166

3.0-less than 4.5 miles .............................................2825

4.5-less than 6.0 miles .............................................1593

6.0-less than 7.5 miles .............................................1350

7.5 miles or greater .................................................1463

Use the table to design a procedure for obtaining a stratified sample (with proportional allocation) of 80 water samples from Durham.

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