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The households in a town are to be sampled in order to estimate the average amount ofassets per household that are readily convertible into cash. The households are stratifiedinto high-rent and a low-rent stratum. A house in the high-rent stratum is thought to haveabout nine times as much assets as one in the low-rent stratum, and S, is expected to beproportional to the square root of the stratum mean. There are 4000 households in thehigh-rent stratum and 20,000 in the low-rent.a) How would you distribute a sample of 1000 households between the two strata?b) If the object is to estimate the difference between assets per household in the twostrata, how should the sample be distributed? |
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