List of top Statistics Questions on Sampling Theory asked in CPET

The following two statements are about the use of stratified sampling for finite population:

Assertion (I): Sampling error of an estimator can always be reduced by using stratified sampling following principle of stratification.

Reason (II): Stratified sampling under optimal allocation for a fixed sample size reduces the mean square error of the estimator.

Which of the following is the correct explanation?

Which of the following is the biggest advantage of simple random sampling ?

A researcher divided subjects into two groups according to gender and then selected members from each group for her sample. What sampling method was the researcher using ?

Which of the following problems is not related to stratified sampling?

Which of the following makes cluster sampling more efficient?

If the population size is 24,000 and the sample size is 400, and \(p = 0.7\), what is the sampling distribution of the sample proportion \(\hat{p}\)?

Which of the following sampling technique uses auxiliary information at pre-selection stage?

For a normal distribution variance of mean V(Mean) and variance of median V(Median), which of the following is true?