If the sampled population has a mean of 48 and standard deviation of 16,then for a sample of size n = 16 the sampling distribution of $\bar { x }$
Has a mean of ____ and a standard deviation of ____.
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 ($\bar{x}$) is the same as the population mean, which is 48. The standard deviation of the sampling distribution (standard error) is the population standard deviation divided by the square root of the sample size: $16/\sqrt{16} = 4$.

If the Sampled Population Has a Mean of 48 and Standard