Question

Under certain conditions, the sampling distribution of the sample mean is approximately normally distributed. How do we find the mean of that sampling distribution? How do we find its standard deviation? (Use formulas or sentences, whichever makes more sense to you)

Answer 1

Sample is a small set of number (n) represent whole population (N). Mean is the average of sample population (∑n/N). For Standard deviation subtract each number from mean and square it. Then find out the mean of squared differences and take square root of it.

Explanation:

Sample is the randomly chosen small set of number represented by n and it represents whole population (N). Sample mean is the average (n) observation from mean. Standard deviation is used to measure the deviation of data from the mean of the sample.

Sampling distribution provides a mean of statistical inference. Sample size should be large enough to represent the whole. It will be more statistically significant if it is large in size. Standard deviation is the dispersion or deviation  of data set relative to its mean.