If the sampled population has a mean of 48 and standard deviation of 16,then the mean and the standard deviation for the sampling distribution of for n = 16 are:
A)4 and 1.
B)12 and 4.
C)48 and 4.
D)48 and 1.
E)48 and 16.

Question

If the sampled population has a mean of 48 and standard deviation of 16,then the mean and the standard deviation for the sampling distribution of  for n = 16 are:
A)4 and 1. 
B)12 and 4. 
C)48 and 4. 
D)48 and 1. 
E)48 and 16.

Quizplus · Accepted Answer

The mean of the sampling distribution will also be 48, as the sample mean is an unbiased estimator of the population mean. The standard deviation of the sampling distribution will be equal to the population standard deviation divided by the square root of the sample size, which is 16/sqrt(16) = 4. Therefore, the answer is choice C.

If the Sampled Population Has a Mean of 48 and Standard