Q59Section B (Part B)59 of 120
Unbiased estimator of the population mean under stratified sampling
Suppose we want to estimate the population mean of a variable for a finite population of size , with Statisticians and Biologists. We consider the following sampling scheme:
A stratified random sample with strata of Statisticians (Stratum-1) and Biologists (Stratum-2), where Statisticians and Biologists are drawn from Stratum-1 and Stratum-2, respectively, using SRSWOR scheme.
Denote , , and as the mean of the variable among the Statistician sample, Biologist sample, and the combined sample, respectively. Which of the following is an unbiased estimator of ?
Pick an option to check your answer.