Suppose that a population parameter is 0.2, and many samples are taken from the population. As the size of each sample increases, the mean of the sample proportions would approach which of the following values?

A. 0.2
B. 0.1
C. 0.3
D. 0.4

Question

Suppose that a population parameter is 0.2, and many samples are taken from the population. As the size of each sample increases, the mean of the sample proportions would approach which of the following values?

A. 0.2
B. 0.1
C. 0.3
D. 0.4

tkhunny · Answer

Is that the Law of Large Numbers or the Central Limit Theorem?  You decide.

kj4uts · Answer

Would it be the law of large numbers because as a sample size grows, its mean will get closer and closer to the average of the whole population?

tkhunny · Answer

Not quite.  The mean doesn't get closer, necessarily.  The Expected Value of the Mean should converge to the True Mean.  It's very picky language.