For a given population, the mean of all the sample means ( ) of sample size n, and the mean of all (N) population observations (x) are
A) equal to
B) not equal
C) are equal to ( - x)
D) equal to the population mean, µ

Question

For a given population, the mean of all the sample means (  ) of sample size n, and the mean of all (N) population observations (x) are
A) equal to 
B) not equal 
C) are equal to ( - x) 
D) equal to the population mean, µ

Quizplus · Accepted Answer

The mean of all sample means (11ea6dce_286d_3efa_9c10_9370dabed29c_TB2538_11) is equal to the population mean (µ) when the sample means are unbiased estimators. Therefore, the mean of all population observations (x) is also equal to µ. Thus, the correct answer is D.

For a Given Population, the Mean of All the Sample