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
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 sele

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