A population X has a mean of 16 and standard deviation of 12. For a random sample size n=36 the mean and standard deviation of the sampling distribution of the means respectively are:
The mean of the sampling distribution of the means is equal to the mean of the population, which is 16.
The standard deviation of the sampling distribution of the means is equal to the standard deviation of the population divided by the square root of the sample size. In this case, the standard deviation of the population is 12, and the square root of the sample size (n=36) is 6. Therefore, the standard deviation of the sampling distribution of the means is 12/6 = 2.