Answer to Question #105690 in Statistics and Probability for suresh

Question

The more the samples we consider,

A> Closer would be the sample standard deviation to the population standard deviation
B> Farther would be the sample variance from the population variance
C> Closer would be the sample mean to the population mean
D> None of the above

Answer 1

Sample mean has a standard deviation given as $\frac{\sigma}{\sqrt{n}}$ .

It implies than as n gets large, the standard deviation approaches zero. Therefore, the more the samples are considered, the sample mean become closer to the population mean. (C)