# Sampling Distribution of the Sample Mean - Normal Distribution

State whether the sampling distribution of the sample mean is normally distributed, or approximately normally distributed, or not normally distributed when computed from:

a)A sample of 10 metabolic rations, where the population is normally distributed

b)A Sample of 100 resting vagal tone in healthy adults, where the population is not normally distributed

c)A sample of 20 insulin action in obese subjects, where the population is not normally distributed.

https://brainmass.com/statistics/sampling-distribution/sampling-distribution-sample-mean-normal-distribution-108383

#### Solution Preview

A sampling distribution of the sample mean can be considered normally distributed where the sample size is very large, say more than 30.

a) A sample of 10 metabolic rations, where the ...

#### Solution Summary

The solution uses sampling distribution to determine whether it is normally distributed for metabolic rations, vagal tone, and insulin action.