For simple random sampling,the mean of all possible sample means is equal to the population mean when which of the following conditions is true.Choose the best possible answer.
A)Sampling is with replacement.
B)Sampling is without replacement.
C)Sampling is from an infinite population.
D)Sampling is from a finite population.
E)Sampling is with or without replacement and from an infinite or finite population.

Question

Quizplus · Accepted Answer

Simple random sampling can be done with or without replacement, and from an infinite or finite population. The key requirement for the mean of all possible sample means to be equal to the population mean is that each sample must have the same probability of being selected. This is ensured in simple random sampling, whether it is with or without replacement and whether the population is infinite or finite. Therefore, option E is the best choice.

For Simple Random Sampling,the Mean of All Possible Sample Means