Question

the households in a town are to be sampled in order to estimate the average amount of assets per households that are readily convertible into cash. The households are stratified into a high rent and low rent stratum. A house in the high rent stratum is thought to have about nine times as much assets as one in the low rent stratum and Sh is expected to be proportional to the square root of the stratum mean
There are 4000 households in the high rent stratum and 20000 in the low rent stratum
a)How would you distribute a sample of 1000households between the two strata?
b)If the object is to estimate the difference between assets per households in two strata , how should the sample be distributed? ​
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Answer 1

order to estimate the average amount of assets per households that are readily convertible into cash. The households are stratified into a high rent and low rent stratum. A house in the high rent stratum is thought to have about nine times as much assets as one in the low rent stratum and Sh is expected to be proportional to the square root of the stratum mean

There are 4000 households in the high rent stratum and 20000 in the low rent stratum

a)How would you distribute a sample of 1000households between the two strata?

b)If the object is to estimate the difference between assets per households in two strata , how should the sample be distributed?