# Central limit theorem

A population is normally distributed, with a mean of 23.45 and a standard deviation of 3.8. What is the probability of each of the following?

a) Taking a sample of size 10 and obtaining a sample mean of 22 or more

b) Taking a sample of size 4 and getting a sample mean of more than 26.

https://brainmass.com/statistics/central-limit-theorem/probability-central-limit-theorem-203742

#### Solution Summary

This solution uses the central limit theorem to state the distribution of a sample mean and then calculates the probability that a randomly selected sample mean falls within a specified range.

$2.19