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The assets (in billions of dollars) of the four wealthiest people in a particula

ID: 3217589 • Letter: T

Question

The assets (in billions of dollars) of the four wealthiest people in a particular country are

36, 30, 27, 11.

Assume that samples of size

n equals=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 overbarx

Probability

x overbarx

Probability

36

nothing

27

nothing

33

nothing

23.5

nothing

31.5

nothing

20.5

nothing

30

nothing

19

nothing

28.5

nothing

11

nothing

x overbarx

Probability

x overbarx

Probability

36

nothing

27

nothing

33

nothing

23.5

nothing

31.5

nothing

20.5

nothing

30

nothing

19

nothing

28.5

nothing

11

nothing

Explanation / Answer

Population are 36, 30, 27, 11

We have to draw 2 samples with replacement from this population of four values.

They are

Probability distribution of the sample mean is

Samples Sample mean 36 30 33 36 27 31.5 36 11 23.5 30 27 28.5 30 11 20.5 27 11 19 30 36 33 27 36 31.5 11 36 23.5 27 30 28.5 11 30 20.5 11 27 19 36 36 36 30 30 30 27 27 27 11 11 11
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