Question: We know from Section 2.3 that there are possible SRSs of size n from a population of size N. Suppose we stratify the population into

We know from Section 2.3 that there are

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

sample is to be selected using proportional allocation, so that nh =

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