A sample of size n is selected at random from a population that has mean $\mu$and standard deviation $\sigma$.The sample mean will be determined from the observations in the sample.Which of the following statements about the sample mean is/are TRUE?
A)The mean of is the same as the population mean (i.e. ,$\mu$).
B)The variance of is .
C)The standard deviation of decreases as the sample size grows larger.
D)All of the above are true.
E)Only A and B are true.

Question

A sample of size n is selected at random from a population that has mean $\mu$and standard deviation $\sigma$.The sample mean  will be determined from the observations in the sample.Which of the following statements about the sample mean  is/are TRUE?
A)The mean of is the same as the population mean (i.e. ,$\mu$). 
B)The variance of is . 
C)The standard deviation of decreases as the sample size grows larger. 
D)All of the above are true. 
E)Only A and B are true.

Quizplus · Accepted Answer

The Answer of A sample of size n is selected at random from a population that has mean $\mu$and standard deviation $\sigma$.The sample mean  will be determined from the observations in the sample.Which of the following statements about the sample mean  is/are TRUE?
A)The mean of is the same as the population mean (i.e. ,$\mu$). 
B)The variance of is . 
C)The standard deviation of decreases as the sample size grows larger. 
D)All of the above are true. 
E)Only A and B are true.

A Sample of Size N Is Selected at Random from a Population