Mathematics · Sampling Theory
Consider a finite population of size N = 100. Let T1 be the sample mean of a study variable based on a sample of size n (1 < n < N) under simple random sampling with replacement (SRSWR). Let T2 be the sample mean under simple random sampling without replacement (SRSWOR). If Var(T1) = 9 Var(T2), then the sample size n equals:
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