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

Quizplus · Accepted Answer

The mean of the sampling distribution will be the same as the population mean, which is 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^(1/2) = 4. Therefore, the answer is choice C, with a mean of 48 and standard deviation of 4.

If the Sampled Population Has a Mean of 48 and Standard