- (30) [This combines problems 7.17 and 7.20 in the textbook.] Each year, Forbes magazine publishes a list of the richest people in the United States. On September 16, 2013, the six richest Americans and their wealth in billions of dollars are shown below. (Treat these six as the population for the problem.)

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I am having trouble figuring out question d and e. 

1. (30) [This combines problems 7.17 and 7.20 in the textbook.] Each
year, Forbes magazine publishes a list of the richest people in the
United States. On September 16, 2013, the six richest Americans and
their wealth in billions of dollars are shown below. (Treat these six as
the population for the problem.)
Wealth (SB)
Person
Bill Gates (G)
Warren Buffett (B)
Larry Ellison (E)
Charles Koch (C)
David Koch (D)
Christy Walton (W)
72
59
41
36
36
35
a. Calculate the mean wealth of these people.
b. List all the possible samples of size 2 and their means.
c. Draw a dotplot for the sampling distribution of the sample means you
found in part b.
d. For one random sample of size 2, what is the probability that the
sample mean will equal the population mean?
e. For a random sample of size 2, what is the probability that the mean
wealth of the two people in the sample will be within 3 (billion
dollars) of the population mean?
Now repeat each of these steps for samples of size 5.
Interpret your findings.
Transcribed Image Text:1. (30) [This combines problems 7.17 and 7.20 in the textbook.] Each year, Forbes magazine publishes a list of the richest people in the United States. On September 16, 2013, the six richest Americans and their wealth in billions of dollars are shown below. (Treat these six as the population for the problem.) Wealth (SB) Person Bill Gates (G) Warren Buffett (B) Larry Ellison (E) Charles Koch (C) David Koch (D) Christy Walton (W) 72 59 41 36 36 35 a. Calculate the mean wealth of these people. b. List all the possible samples of size 2 and their means. c. Draw a dotplot for the sampling distribution of the sample means you found in part b. d. For one random sample of size 2, what is the probability that the sample mean will equal the population mean? e. For a random sample of size 2, what is the probability that the mean wealth of the two people in the sample will be within 3 (billion dollars) of the population mean? Now repeat each of these steps for samples of size 5. Interpret your findings.
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