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Unformatted text preview: Student: Grady Silnonton Instructor: Shawn Parvini Assignment: Chapter 2A
Submitted: 02/18/10 2:24pm Course: Matl1119: Elementary Statistics  Spring 2010  CRN: 49239  16 weeks
Book: Triola: Elementary Statistics, 11e 1. Construct one table that includes relative frequencies based on the frequency distributions shown below,
then compare the amounts of tar in nonﬁltered and ﬁltered cigarettes. Do the cigarette ﬁlters appear to be
effective? ' Click the icon to view the frequency distributions. Complete the relative frequency table below. Relative Relative Frequency Frequency
Tar (mg) (Nonﬁltered) (Filtered) 4 — 8 o‘% 3‘%
9 — 12 o‘% 12‘%
13 — 17 8‘94. 24"%
18 — 22 8‘% 56%
23 — 27 55% 0‘%
28 — 32 28‘% 01%
33 — 32 47% '0‘% (Simplify your answers.) Do cigarette ﬁlters appear to be effective? .33.! A. No, because the relative ﬁ'equency of the higher tar classes is greater for ﬁltered cigarettes.
’T;  B. No, because the relative frequencies for each are not substantially different.
fl C. Yes, because the relative ﬁequency of the higher tar classes is greater for nonﬁltered cigarettes. c: _. D. This cannot be determined. Frequency Distributions Tar (mg) in Tar (mg) in
Nonﬁltered Filtered
Cigarettes Frequency Cigarettes Frequency 13  17 2 4  8 2
18 — 22 2 9 — 12 3
23 — 27 13 13 — 17 6
28 — 32 7 18 — 22 14
33 — 3? 1 YOU ANSWERED: l Page 1 Student: Grady Silnonton Instructor: Shawn Parvini Assignment: Chapter ZA
Submitted: 02/18/10 2:24pm Course: Matl1119: Elementary Statistics  (cont) Spring 2010  CRN: 49239  16 weeks
Book: Triola: Elementaiy Statistics, 11e l
A What are some advantages of a dotplot over a frequency polygon? Choose the correct answer below. {3‘ A. A dotplot allows you to see the shape of a data set. c: _. B. A dotplot draws attention to more important categories. C. A dotplot allows you to determine if there is a relationship between the two variables. ._f_* D. A dotplot allows you to identify the original data values. YOU ANSWERED: A After constructing a relative frequency distribution summarizing IQ scores of college students, what should
be the sum of the relative frequencies? Choose the correct answer below. :2; A. If percentages are used, the sum should be 100%. If proportions are used, the sum should be 100.
a: . B. If percentages are used, the sum should be 1%. If proportions are used, the sum should be 100.
5* C. If percentages are used, the sum should be 100%. If proportions are used, the sum should be 1. 1'} D. If percentages are used, the sum should be 0%. If proportions are used, the sum should be 0. YOU ANSWERED: A Page 2 Student: Grady Simonton Instructor: Shawn Parvini Assignment: Chapter ZA
Submitted: 02/18/10 2:24pm Course: Math119: Elementary Statistics  Spring 2.010  CRN: 49239  16 weeks
Book: Triola: Elementary Statistics, 11e 4_ The frequency distribution below represents Choose the correct histogram below.
frequencies of actual low temperatures recorded a?! A. B.
during the course of a 31day month. Use the
frequency distribution to construct a histogram. Do 20 20 10 the data appear to have a distribution that is 
approximately normal? 10——
0‘ 0 Class Frequency ABCDEFG ABCDEFG
A 39—44 Eric. #0
B 45—50
c 51—56 20: 20:
D 57—62 10— 10—
E 6368 — 
F 69—74 O‘ABCDEFG OABCDEFG
G 15—30 Do the data appear to have a distribution that is
approximately normal? .EF A. No, it is not at all symmetric.
.3!’ B. Yes, it is approximately normal.
::j:IC. No, it is approximately uniform.
[30. No, it is completely erratic. YOU ANSWERED: A
A 5_ The Washington Post illustrated diminishing purchase power of the dollar in ﬁve different presidential
administrations using ﬁve different $1 bill of different sizes. The Eisenhower era was represented by a $1
with purchasing power of $1, and the subsequent administrations were represented with smaller 1$ bills
corresponding to lower amounts of purchasing power. What is wrong with this illustration? Choose the correct answer below. {:53 A. Images of dollar bills are twodimensional, but amounts of purchasing power are threedimensional.
{*— B. Images of dollar bills are twodimensional, but amounts of purchasing power are onedimensional.
.3. C. Images of dollar bills are threedimensional, but amounts of purchasing power are onedimensional. {:3 D. Images of dollar bills are threedimensional, but amounts of purchasing power are twodimensional. YOU ANSWERED: A Page 3 Student: Grady Simonton Instructor: Shawn Parvini Assignment: Chapter 2A
Submitted: 02/18/10 2:24pm Course: Math119: Elementary Statistics  Spring 2010  CRN: 49239  16 weeks
Book: Triola: Elementary Statistics, 11e 6_ The data represents the heights of eruptions by a geyser. 142 151 98 158
113 127 140 100 Use the heights to construct an ogive. For the horizontal axis, use these class 151 1 18 150 120 boundaries: 89.5, 99.5, 109.5, 119.5, 129.5, 139.5, 149.5, 159.5. How many 100 130 110 120 eruptions were below 1 10 ft? 110 140 90 130 Construct an ogive. a?! A. .33!” B. D.
A 15 2 B 12 1 6 30 a 4 40 4 2 _
0 o 0 )v
0 5 1015 20 100120140100 100120140160 30 110140170 How many eruptions were below 1 10 ft? V 4 YOU ANSWERED: A
l Page 4 Student: Grady Silnonton Instructor: Shawn Parvini Assignment: Chapter ZA
Submitted: 02/18/10 2:24pm Course: Math119: Elementary Statistics  Spring 2.010  CRN: 492.39  16 weeks
Book: Triola: Elementary Statistics, 11e 7. The data represents the body mass index (BMI) values for 20 17.7 3 3. 5 26.2 21.1 241
females. Construct a frequency distribution beginning with a lower 27.6 23.3 18. 3 273 23.6
class Jiniit of 15.0 and use a class width of 6.0. Does the frequency
distribution appear to be roughly a normal distribution? 19'2 22'4 23'2 3?“? 3 1'9 28.2 44.9 31.9 26.6 23.1 Body Mass Index Frequency Body Mass Index Frequency
15.020.9 3‘ 33.038.9 2‘
21.026.9 9‘ 39.044.9 1
27.032.9 5‘ Does the frequency distribution appear to be roughly a normal distn'bution? .3! A. Yes, all of the requirements are met.
[fin B. No, the distribution is not symmetric and the frequencies do not start off low. CI] C. No, although the distribution is approximately symmetric, the frequencies do not start low, then
increase to some maximum frequency, then decrease. .9! D. No, although the frequencies start low, increase to some maximum, then decrease, the distribution is
not symmetric. YOU ANSWERED: 1
ll
1 1
A Page 5 Student: Grady Silnonton Instructor: Shawn Parvini Assignment: Chapter 2A
Submitted: 02/18/10 2:24pm Course: Matl1119: Elementary Statistics  Spring 2010  CRN: 49239  16 weeks
Book: Triola: Elementaiy Statistics, 11e 8. Refer to the accompanying data set and use the 25 home voltage measurements to construct a frequency
distribution with ﬁve classes. Begin with a lower class limit of 124.2 volts, and use a class width of 0.20
volt. Does the result appear to have a normal distribution? Why or why not? '3} Click the icon to view the data. Complete the frequency distribution below. Voltage (volts) Frequency 124.2— 124.3‘ 5‘
124.4‘— 124.5‘ 6‘
124.6‘ — 1.24.?" 3‘
.124.s‘— 124.9‘ 6‘
1256— 125.1‘ 5‘ (Type integers or decimals.) Does the result appear to have a normal distribution? Why or why not? it?! A. No, because the frequencies are not equal across the voltage classes.
:_:  B. No, because the frequencies are randomly distributed.
"A? C. No, because the frequencies are roughly equal across the voltage classes. {:"rD. Yes, because the frequencies start low, reach a maximum, then become low again,
and are roughly symmetric about the maximum frequency. if; E. Yes, because the frequencies are roughly equal across the voltage classes. More Info Voltage Measurements From a Home Home Home Home Home
Da volts Da (volts Da volts Da volts 124.4 8 124.4 15 124.9 22 125.0
124.3 9 124.3 16 124.9 23 125.0
124.6 10 124.8 17 124.4 24 124.4
124.9 11 124.? 18 124.5 25 124.?
125.0 12 125.0 19 124.3
124.2 13 124.8 20 125.0
124.2 14 124.5 21 124.9 HQMLWNP‘ YOU ANSWERED: ll
1 Page 6 Student: Grady Silnonton Instructor: Shawn Parvini Assignment: Chapter ZA
Submitted: 02/18/10 2:24pm Course: Math119: Elementary Statistics  Spring 2.010  CRN: 49239  16 weeks
Book: Triola: Elementary Statistics, 11e (cont) 1 Page 7 Student: Grady Silnonton Instructor: Shawn Parvini Assignment: Chapter ZA
Submitted: 02/18/10 2:24pm Course: Matl1119: Elementary Statistics  Spring 2010  CRN: 49239  16 weeks
Book: Triola: Elementary Statistics, 11e 9_ The following table lists the marriage and divorce rates per 1000 people in a particular country for selected
years since 1900. Construct a multiple bar graph of the data. Why do these data consist of marriage and
divorce rates rather than total numbers of marriages and divorces? Comment on any trends that you
observe in these rates, and give explanations for these trends. Year 1900 1910 1920 1930 1940 1950 1960 1970 1980 1990 2000
Marriage mumM 101 31
0.3 0.9 1.6 1.6 2.1 2.6 2.3 3.6 5.1 Divorce 4.8 4.1 Construct a multiple bar graph of the data. Choose the correct graph below. a: A. ;;_ s.
_ ’15
i 10 — _
as — — —
0010 20 3O 4O 50 60 70 8O 90 00 0 0010 20 30 4O 50 60 70 8O 90 00
I Marriage I Divorce Year I Marriage I Divorce Year 0010 20 3O 4O 50 60 TO 80 90 00 0 0010 20 3O 4O 50 60 TO 80 90 00
I Marriage I Divorce Year I Marriage I Divorce Year Why do these data consist of marriage and divorce rates rather than total numbers of marriages and
divorces? f; A. The rates of marriages and divorces can be calculated using a small proportion of the population,
whereas the total numbers of marriages and divorces requires information about the entire
population, which is not possible to obtain. a! B. There is no particular reason for using the rates of marriages and divorces over the total numbers of
marriages and divorces. Either method is a valid way of showing marriage and divorce trends. :_* C. Since populations generally fluctuate, a bar graph depicting the total numbers of marriages and
divorces may falsely suggest an increase or decrease in the proportions of marriages and divorces,
even when the proportions are doing the opposite. Comment on any trends that you observe in these rates, and give explanations for these trends. A. The marriage rate has remained relatively steady, while the divorce rate has been steadily
decreasing. This may be due to a more difﬁcult divorce process or lesser acceptance of divorce in
the society, among other reasons. .._'11.VB. The marriage rate has remained relatively steady, while the divorce rate has been steadily increasing. This may be due to an easier divorce process or greater acceptance of divorce in the
society, among other reasons. C. The marriage rate has been steadily decreasing, while the divorce rate has been steadily increasing.
This may be due to a greater acceptance of people living together outside of marriage, as well as an
easier divorce process, among other reasons. YOU ANSWERED: A Page 8 Student: Grady Simonton Instructor: Shawn Parvini Assigrunent: Chapter ZA
Submitted: 02/18/10 2:24pm Course: Matl1119: Elementary Statistics  Spring 2010  CRN: 49239  16 weeks
Book: Triola: Elementary Statistics, 11e 9 B (cont) 10. A study was conducted to determine how people get jobs. The table Job Sources Frequency
lists data from 400 randomly selected subjects. Construct a Pareto Help—wanted ads (H) 44 chart that corresponds to the given data. If someone would like to Executive search ﬁrms (E) 272
get a job, What seems to be the most effective approach? Networking (N) 64
Mass mailing (M) 20
Choose the correct Pareto chart.
' A «3‘ B. #0 7 D
350_— 350_— 350_
300_— 300_— 300_
250 — 250 _
200 — 200
150 — 150
100 100 —
60% so —
0 H E N M 0 E N H M If someone would like to get a job, what seems to be the most e‘ective approach? DA. Helpwanted ads (H) 7* B. Executive search ﬁrms (E)
.;X C. Networking (N) C3D. Mass mailing (M) YOU ANSWERED: B
C 11. The histogram to the right represents the weights (in
pounds) of members of a certain highschool
programming team. How many team members are included in the
histogram? 115 125 135 145 155 165 175 The histogram represents IS‘ programing team members. YOU ANSWERED: l Page 9 Student: Grady Silnonton Instructor: Shawn Parvini Assignment: Chapter ZA
Submitted: 02/18/10 2:24pm Course: Math119: Elementary Statistics  Spring 2.010  CRN: 492.39  16 weeks
Book: Triola: Elementary Statistics, 11e 12_ The table below shows the frequency distribution of Choose the correct histogram below.
FICO credit rating scores. Use the frequency .53. A.
distribution to construct a histogram. Does the result 3‘ 33
appear to be a normal distribution? E 20:
3 10—
's: 0
FICO Score 424.5 524.5 524.5 724.5 524.5
400 _ 449 X Values
450 — 499 r}! B. 30
g _
500 — 549 g 20_
550 — 599 as 10_
600  649 E 0
650 _ 699 424.5 524.5 524.5 724.5 524.5
X Values
7’00 — ”2‘49 _ C
750 — 799 f I a 30_
800  849 E 20_
850 — 899 E 10—
n 0 424.5 524.5 524.5 724.5 824.5
X Values Does the result appear to be a normal distribution? ii JA. No, because the histogram has no obvious
maximum. 6* B. No, because the histogram is not symmetric. :. _;. C. Yes, because the histogram is approximately
normal. :. _:ID. No, because the histogram is approximately
uniform. YOU ANSWERED: nothing
nothing Page 10 Student: Grady Silnonton Instructor: Shawn Parvini Assignment: Chapter 2A
Submitted: 02/18/10 2:24pm Course: Math119: Elementary Statistics  13. Spring 2010  CRN: 49239  16 weeks
Book: Triola: Elementary Statistics, 11e The table below shows the frequency distribution of Construct the histogram. Choose the correct graph home voltage measurements taken on 43 below.
consecutive days. Use the frequency distribution to .3. A.
construct a histogram. Does the result appear to be a 3
normal distribution? E
IT
Home “1113ng Class “1 123.35 123.75 124.15
123.3 — 123.4 X ““1165
123.5 123.6 ':_'B. 20
123.7— 124.8 E" 15:
123.9 — 124.0 E 1g:
124.] — 124.2 6: 0
123.35 123.75 124.15
X Values
:* C.
" 5 20—
: 15—
% 10
” 0 123.35 123.75 124.15
X Values Does the result appear to be a normal distribution?
:;::A. No, because the histogram has no obvious
minimum. if] B. No, because the histogram has an obvious
maximum. {3' C. Yes, because the histogram appears to be
approximately normal. ("1" D. No, because the histogram is not
approximately symmetric. YOU ANSWERED: nothing
nothing Page 11 Student: Grady Silnonton Instructor: Shawn Parvini Assignment: Chapter ZA
Submitted: 02/18/10 2:24pm Course: Matl1119: Elementary Statistics  Spring 2010  CRN: 49239  16 weeks
Book: Triola: Elementaiy Statistics, 11e 14_ 111 a recent year, 4075 people were killed while working. Here is a I Falls (1:)
breakdown of causes: falls (2179); transportation (493); equipment _ _ Tl‘aI_15P01’EaIi0n(T)
(462); violence (408); substances (296); combustibles (237). Use .. EquipmentéE)
the data to construct a Pareto chart. Compare the Pareto chart to the ' I 8111;522:255 ()8)
pie chart. Which graph is more effective in showing the relative I Conlbustibles C
importance of the causes of workrelated deaths? Choose the correct Pareto chart.
:__* A. ﬁle. 'I:c.
2500 2500—— 2500
2000 2000 . 2000
1500 1500  1500
1000 1000 . 1000 500 — 500 500 OFTEVSC OTEVFSC OTEVFSC
Which graph is more effective in showing the relative importance of the causes of workrelated deaths?
{if A. The Pareto chart is more effective.
{1.18. Neither one is effective.
if  C. The pie chart is more effective.
YOU ANSWERED: nothing
nothing
15. The data represents the actual high temperature for 14 consecutivedays. Use the 14 76 80 70 actual high temperatures to construct a frequency polygon. For the horizontal axis, 53 51 56 use the midpoint values obtained from these class intervals: 5059, 6069, 2079, 50 74 63 8089. 60 "1’6 56
58 85 Which graph represents a frequency polygon of the data? 0— .. .. .
0 5 10 ‘15 YOU ANSWERED: nothing Page 12 Student: Grady Silnonton Instructor: Shawn Parvini Assignment: Chapter ZA
Submitted: 02/18/10 2:24pm Course: Math119: Elementary Statistics  Spring 2.010  CRN: 49239  16 weeks
Book: Triola: Elementary Statistics, 11e 16. Identify the class width, class Height (inches) Frequency Height (inches) Frequency midpoints, and class boundaries for 65.069.9 4 930949 0 the given frequency distribution. ?0_0_74.9 25 95.0993 0
75.079.9 9 100.0104.9 0
80.084.9 1 10501099 0
85.089.9 0 11001 14.9 1 What is the class width? 5‘ What are the class midpoints? 67.45‘, 72.45‘, 7145‘, 32.45‘, 37.45‘, 92.45‘, 97.45‘, 102.45‘, 10?.45‘, 112.45‘
(Use ascending order. Round to two decimal places as needed.) What are the class boundaries? 64.95‘, 69.95‘, 74.95‘, 79.95‘, 34.95‘, 89.95‘, 94.95‘, 99.95‘, 104.95‘, 109.95‘, 114.95‘
(Use ascending order. Round to two decimal places as needed.) YOU ANSWERED: nothing
nothing
nothing
nothing
nothing
nothing
nothing
nothing
nothing
nothing
nothing
nothing
nothing
nothing
nothing
nothing
nothing
nothing Page 13 Student: Grady Silnonton Instructor: Shawn Parvini Assignment: Chapter ZA
Submitted: 02/18/10 2:24pm Course: Matl1119: Elementary Statistics  Spring 2010  CRN: 49239  16 weeks
Book: Triola: Elementaiy Statistics, 11e 16. nothing
(cont) nothing
nothing
nothing
11 Use the given qualitative data to construct the relative frequency distribution. The 2157 people aboard a ship that sank include 280 male survivors, 1362 males who died, 42? female
survivors, and 83 females who died. Complete the relative frequency distribution below. Relative
Categog Freguencx
Male survivors 13.6% Males who died 63.1‘%
Female survivors 19.8‘% Females who died 4.1‘% (Round to one decimal place as needed.) YOU ANSWERED: nothing
nothing
nothing
nothing Page 14 Student: Grady Silnonton Instructor: Shawn Parvini Assignment: Chapter ZA
Submitted: 02/18/10 2:24pm Course: Math119: Elementary Statistics  18. Spring 2.010  CRN: 49239  16 weeks
Book: Triola: Elementary Statistics, 11e The graph to the right compares teaching salaries of women Salaries (39) and men at private colleges and universities. What 80000 impression does the graph create? Does the graph depict the 70000—
data fairly? If not, construct a graph that depicts the data
fairly. 60000— 50000— Women Men What impression does the graph create? :IA. Women have salaries that are slightly higher than that of men.
u:_ '1' B. Men and women have approximately the same salaries.
[fin C. Men have salaries that are slightly higher than that of women. it D. Men have salaries that are more than twice the salaries of women. Does the graph depict the data fairly? tjA. No, because the data are twodimensional measurements.
rt B. No, because the vertical scale does not start at zero.
CI] C. Yes, because the vertical scale is appropriate for the data. {in D. Yes, because the bars accurately represent each average. If the graph does not depict the data fairly, which graph below does? 80000————————————— 80000— 72500— 60000—
65000— 40000—
57500— 20000— 50000— Women Men Women Men r ;;. D. The graph depicts the data
fairly YOU ANSWERED: nothing
nothing
nothing .:"';IA. Salaries ($) r* B. Salaries ($) 'iiIi' C Salaries ($)
80000— 60000—
40000— 20000— Women Men Page 15 Student: Grady Simonton Instructor: Shawn Parvini Assignment: Chapter ZA
Submitted: 02/18/10 2:24pm Course: Math119: Elementary Statistics  Spring 2.010  CRN: 49239  16 weeks
Book: Triola: Elementary Statistics, 11e 19_ Construct a scatter diagram using the data table to the right. This data Tar C Tar C Tar CO
is from a study comparing the amount of tar and carbon monoxide 15 1 1 1 1 2 3
(CO) in cigarettes. Use tar for the horizontal scale and use carbon 1 1 1 3 1 1 16 16
monoxide (CO) for the vertical scale. Determine whether there 1 1 l3 1 6 7
appears to be a relatlonshlp between Clgarette tar and CO. 14 1 13 l l 6 l 5 5 1 5 1 10 l 0
Construct a scatter diagram.
I : IE. I : I D.
ACO ACO 20; o 21%. 165 ‘ 16—: o $
1 2—: g } 1 2—: o ‘5 8—; ° 8—; I 4‘; . ' Tar 4‘; . Tar 0:*nTme'0TrnTn—)‘ (3;me...
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