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

ID: 3054728 • Letter: T

Question

The assets? (in billions of? dollars) of the four wealthiest people in a particular country are 36, 32, 27 15. 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

Probability

36

27

34

25.5

32

23.5

31.5

21

29.5

15

?(Type integers or? fractions.)

x

Probability

x

Probability

36

27

34

25.5

32

23.5

31.5

21

29.5

15

Explanation / Answer

x                              probability

36                             P(36,36) = 1/4 * 1/4 = 1/16

34                             P(36,32) + P(32,36) = 2 * 1/4 * 1/4 = 1/8

32                             P(32,32) = 1/4 * 1/4 = 1/16

31.5                          P(36,27) + P(27,36) = 2 * 1/4 * 1/4 = 1/8

29.5                          P(32,27) + P(27,32) = 2 * 1/4 * 1/4 = 1/8

27                             P(27,27) = 1/4 * 1/4 = 1/16

25.5                          P(36,15) + P(15,36) = 2 * 1/4 * 1/4 = 1/8

23.5                          P(32,15) + P(15,32) = 2 * 1/4 * 1/4 = 1/8

21                             P(27,15) + P(15,27) = 2 * 1/4 * 1/4 = 1/8

15                             P(15,15) = 1/4 * 1/4 = 1/16

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