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

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 \(12\).

1. Random samples of size \(121\) are taken. Find the mean and standard deviation of the sample mean.
2. How would the answers to part (a) change if the size of the samples were \(400\) instead of \(121\)?