Step For Independent random samples, the sampling distribution of X, - X, has the following variance.
Recall that the standard deviation is the square root of the variance, so the standard deviation of the sampling
distribution of X, - *, has the following standard deviation
5,-
Therefore, to describe the variability of this distribution, we will determine the value of the standard deviation
using these formulas. Recall that we were given - 33,0 - 4,0 - 40,- 20,0 - 2, and nz - SO
Use the necessary values to find the standard deviation of the sampling distribution (Round your final answer
to three decimal places.)
SO
23
The variability of the sampling distribution of *, -, is described by the standard deviation, rounded to three
decimal places, of