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The assests (in bilions of dollars) of the four wealthiest people in a particula

ID: 3429341 • Letter: T

Question

The assests (in bilions of dollars) of the four wealthiest people in a particular country are 39, 33 16, 15. Assume that samples of size n=2 are randomly selcted with replacement frm this popluation of four values.

After indentifying 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           Probabilty

39          ______

36         _______

33        _______

27.5     _______
27       ________

24.5     ________

24       ________

16       _________

15.5    _________

15      -------------

( Type integers or fractions)

Explanation / Answer

The assests (in bilions of dollars) of the four wealthiest people in a particular country are 39, 33 16, 15. Assume that samples of size n=2 are randomly selcted with replacement frm this popluation of four values.

After indentifying 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.

SAMPLE

Average

39,39

39

39,33

36

39,16

27.5

39,15

27

33,39

36

33,33

33

33,16

24.5

33,15

24

16,39

27.5

16,33

24.5

16,16

16

16,15

15.5

15,39

27

15,33

24

15,16

15.5

15,15

15

SAMPLE MEAN

Frequency

Probability

39

1

0.0625

36

2

0.125

33

1

0.0625

27.5

2

0.125

27

2

0.125

24.5

2

0.125

24

2

0.125

16

1

0.0625

15.5

2

0.125

15

1

0.0625

16

1

SAMPLE

Average

39,39

39

39,33

36

39,16

27.5

39,15

27

33,39

36

33,33

33

33,16

24.5

33,15

24

16,39

27.5

16,33

24.5

16,16

16

16,15

15.5

15,39

27

15,33

24

15,16

15.5

15,15

15

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