Random samples of size 36 each are taken from a large population whose mean is 120 and standard deviation is 39. The mean and standard error of the sampling distribution of sample mean, respectively, are:
A) 120 and 39
B) 120 and 6.5
C) 120 and 5.5
D) 39 and 120
E) 6.5 and 120

Question

Quizplus · Accepted Answer

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

Random Samples of Size 36 Each Are Taken from a Large