Moore212007
pbs
November 27, 2007
9:50
SOLUTIONS TO ODDNUMBERED EXERCISES
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CHAPTER 1
. . . . . . . . . . .
1.1
Answers will vary.
1.3
(a)
The bars can be drawn in any order since major is a categorical variable.
(b)
The percents add to 98.5%, so a pie chart would not be appropriate without
a category for Other.
1.5
The histogram is unimodal and fairly symmetric except for a high outlier (Toyota
Prius at 51). The range of the data without the outlier is 19 to 37 mpg.
1.7
(a)
See solutions to Exercise 1.5.
(b)
The RollsRoyce Phantom (19 mpg) and
MercedesBenz E55 AMG (21 mpg) have the lowest mileage. However, there
are no low outliers.
1.9
(a)
It is fairly symmetric with one low outlier. Excluding the low outlier, the
spread is from about
−
18% to 18%.
(b)
About 1%.
(c)
Smallest is about
−
18%
and the largest is about 18%.
(d)
About 35% to 40%.
1.11
From the stemplot, the center is $28 and the spread is from $3 to $93. There are
no obvious outliers. Examination of the stemplot shows the distribution is clearly
rightskewed. With or without split stems, the conclusions are the same.
1.13
(a)
and
(b)
are bar graphs.
(c)
One example of how to do this is by using the
“clustered bar graph” on SPSS.
1.15
(a)
The top five are Texas, Minnesota, Oklahoma, Missouri, and Illinois. The
bottom five are Alaska, Puerto Rico, Rhode Island, Nevada, and Vermont.
(b)
The
distribution is strongly unimodal and rightskewed with a large peak in the 0
≤
damage
<
10 group. The range is 0 to 90. The three states with the most damage
(Texas, Minnesota, and Oklahoma) may be outliers.
(c)
Answers will vary.
1.17
(a)
Alaska has 5.7% and Florida has 17.6% older residents.
(b)
The distribution
is unimodal and symmetric with a peak around 13%. Without Alaska and Florida,
the range is 8.5% to 15.6%.
1.19
GM had more complaints than Toyota each year, but both companies seem to
have fewer complaints in general over time.
1.21
(a)
The individuals are the different cars.
(b)
The variables are vehicle type (cate
gorical), transmission type (categorical), number of cylinders (can be considered
categorical because the number of cylinders divides the cars into only a few
categories), city MPG (quantitative), and highway MPG (quantitative).
1.23
(a)
The different public mutual funds are the individuals.
(b)
The variables “cate
gory” and “largest holding” are both categorical, while the variables “net assets”
and “yeartodate return” are quantitative.
(c)
Net assets are in millions of dollars,
and yeartodate return is given as a percent.
1.25
Some possible variables are cost of living, taxes, utility costs, number of similar
facilities in the area, and average age of residents in the location.
S1
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November 27, 2007
9:50
S2
SOLUTIONS TO ODDNUMBERED EXERCISES
1.27
The distribution of dates of coins will be skewed to the left because as the dates
go further back there are fewer of these coins currently in circulation. Various
leftskewed sketches are possible.
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 Normal Distribution, The Lottery, Household income in the United States, Hospital B

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