The 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 37, 32, 16, 14. Assume that samples of size N= 2 are randomly selected with replacement from this population of four values.
a. After identifying the 16 different possible samples and finding the mean of each sample, construct a table representing the sampling distribution of the sample mean. In the table, values of the sample mean that are the same have been combined.
x
Probability
X Probabity
37_________ 24________
34.5________ 23_________
32__________ 16_________
26.5__________ 15__________
25.5_________ 14___________
| x | Probability | X Probabity | 
Solution
a)
For the samples of size 2, consider the table:
b)
For the means of each sample, consider the table:
Thus, summarizing,
| Person 1 | Person 2 | 
| 37 | 37 | 
| 37 | 32 | 
| 37 | 16 | 
| 37 | 14 | 
| 32 | 37 | 
| 32 | 32 | 
| 32 | 16 | 
| 32 | 14 | 
| 16 | 37 | 
| 16 | 32 | 
| 16 | 16 | 
| 16 | 14 | 
| 14 | 37 | 
| 14 | 32 | 
| 14 | 16 | 
| 14 | 14 | 

