The Mean, Standard Deviation, and Sampling Distribution of the Sample Mean

The Mean and Standard Deviation of the Sample Mean

Exercises

1. Random samples of size 225 are drawn from a population with mean 100 and standard deviation 20. Find the mean and standard deviation of the sample mean.

3. A population has mean 75 and standard deviation 12.

a. Random samples of size 121 are taken. Find the mean and standard deviation of the sample mean.

b. How would the answers to part (a) change if the size of the samples were 400 instead of 121?