Homework SourseList all samples of size 3 and compute the mean of each samp
List all samples of size 3, and compute the mean of each sample. (Round your mean value to 2 decimal places.)
Compute the mean of the distribution of sample means and the population mean. (Round your answers to 2 decimal places.)
| A population consists of the following five values: 12, 12, 14, 15, and 20. |
Solution
a.
b. Mean of sample means = (12.67 + 13 + 14.67 + 13.67 + 15.33 + 15.67 + 13.67 + 15.33 + 15.67 + 16.33) / 10
= 14.60
Population mean = (12+12+14+15+20)/5 = 14.60
| Sample | Values | Sum | Mean |
| 1 | 12,12,14 | 38 | 12.67 |
| 2 | 12,12,15 | 39 | 13 |
| 3 | 12,12,20 | 44 | 14.67 |
| 4 | 12,14,15 | 41 | 13.67 |
| 5 | 12,14,20 | 46 | 15.33 |
| 6 | 12,15,20 | 47 | 15.67 |
| 7 | 12,14,15 | 41 | 13.67 |
| 8 | 12,14,20 | 46 | 15.33 |
| 9 | 12,15,20 | 47 | 15.67 |
| 10 | 14,15,20 | 49 | 16.33 |
