Homework SourseThe assets in billions of dollars of the four wealthiest peo
The assets? (in billions of? dollars) of the four wealthiest people in a particular country are 45, 27, 20, 12.
Assume that samples of size n=2 are randomly selected with replacement from this population of four values.
Solution
Sol)
The assets (in billions of dollars) of the four wealthiest people in a particular country are 45, 27, 20, 12.
Assume that samples of size n=2 are randomly selected with replacement from this population of four values
A) Now poupulation size N=4 sample size n=2
Total possible samples are = Ncn =42 =16
The samples are (45,45),(45,27),(45,20),(45,12)
(27,45),(27,27),(27,20),(27,12)
(20,45),(20,27),(20,20),(20,12)
(12,45),(12,27),(12,20),(12,12)
Sample
mean
| Samples | Sample mean | Probability |
| (45,45) | 45 | 1/16 |
| (45,27) | 36 | 1/16 |
| (45,20) | 32.5 | 1/16 |
| (45,12) | 28.5 | 1/16 |
| (27,45) | 36 | 1/16 |
| (27,27) | 27 | 1/16 |
| (27,20) | 23.5 | 1/16 |
| (27,12) | 19.5 | 1/16 |
| (20,45) | 32.5 | 1/16 |
| (20,27) | 23.5 | 1/16 |
| (20,20) | 20 | 1/16 |
| (20,12) | 16 | 1/16 |
| (12,45) | 28.5 | 1/16 |
| (12,27) | 19.5 | 1/16 |
| (12,20) | 16 | 1/16 |
| (12,12) | 12 | 1/16 |
