We know from Section 2.3 that there are possible SRSs of size n from a population of
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possible SRS€™s of size n from a population of size N. Suppose we stratify the population into H strata, where each stratum contains Nh = N/H units. A stratified sample is to be selected using proportional allocation, so that nh = n/H.
a. How many possible stratified samples are there?
b. Stirling€™s formula approximates k!, when k is large, by
Where,
Use Stirling€™s formula to approximate
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