Random samples of size 36 each are taken from a large population whose mean is 120 and standard deviation is 39. In this case, which of the following are the values of the mean and the standard error, respectively, of the sampling distribution of the sample mean?
A) 120 and 39
B) 120 and 6.5
C) 39 and 120
D) 6.5 and 120

Question

Quizplus · Accepted Answer

The mean of the sampling distribution of the sample mean is equal to the population mean, which is 120. 
The standard error of the sampling distribution of the sample mean is equal to the population standard deviation divided by the square root of the sample size (n) which is 36. 
So, the standard error is 39/√36 = 6.5. Therefore, the answer is B.

Random Samples of Size 36 Each Are Taken from a Large