Question

the weights of people in a certain population are normally distributed with a mean of 154 lbs and a standard deviation of 23 lbs. what is the distribution of the mean of random samples of size 4?

Answer 1

Explanation:

The distribution of the mean of random samples of size 4 can be approximated by a normal distribution with a mean of 154 Ibs (same as the population means) and a standard deviation of 11.5 Ibs (which is the population standard deviation divided by the square root of the sample size, i.e. 23 Ibs/ sqrt (4)= 11.5 Ibs). This is known as the Central Limit Theorem.