If the sampled population has a mean 48 and standard deviation 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 48 and standard deviation 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 of sample means (also known as the central limit theorem) is equal to the mean of the population, which is given as 48. Thus, the mean of the sampling distribution for n = 16 is also 48.

The standard deviation of the sampling distribution can be calculated by dividing the population standard deviation by the square root of the sample size, which is 16^.5 or approximately 4. Thus, the standard deviation of the sampling distribution for n = 16 is 4. Therefore, the best choice is option C.

If the Sampled Population Has a Mean 48 and Standard