| Sampling Distribution Exercise | ||||||
| SAMPLING DISTRIBUTIONS | Your name: | |||||
| Population: 1, 2, 3, 4, 5--with equal probabilities | ||||||
| 1. Calculate the mean (mu) of this population. | ||||||
| 2. There are 10 different possible samples of size 3 | ||||||
| from this population. Calculate their means. | ||||||
| Ordered | sample | values | ||||
| Sample # | X(1) | X(2) | X(3) | Sample mean | ||
| 1 | 1 | 2 | 3 | |||
| 2 | 1 | 2 | 4 | |||
| 3 | 1 | 2 | 5 | |||
| 4 | 1 | 3 | 4 | |||
| 5 | 1 | 3 | 5 | |||
| 6 | 1 | 4 | 5 | |||
| 7 | 2 | 3 | 4 | |||
| 8 | 2 | 3 | 5 | |||
| 9 | 2 | 4 | 5 | |||
| 10 | 3 | 4 | 5 | |||
| 3. Draw a histogram of the sample means using bins | ||||||
| centered at 2.00, 2.33, 2.67, 3.00, 3.33, 3.67, and 4.00. | ||||||
| This is a graphical representation of the sampling | ||||||
| distribution of the sample mean. | ||||||
| 4. Calculate the mean of the 10 sample means. | ||||||
| 5. What general statistical truth does this example illustrate? | ||||||