Construct sample means and interpret finite sampling distributions
Suppose six independent random samples, each of size n=2, from the same population produced the following sample means. The dot plot contains one dot per sample mean, so it has six dots. These supplied data illustrate one empirical sampling distribution; they are not the exact theoretical distribution
| Sample | Mean |
|---|---|
| \(1\) | \(6\) |
| \(2\) | \(6\) |
| \(3\) | \(5\) |
| \(4\) | \(7\) |
| \(5\) | \(\frac{7}{2}\) |
| \(6\) | \(\frac{9}{2}\) |