AMDM STUDY GUIDE
I CAN...
Apply statistical methods to design, conduct, and analyze statistical studies. These include
identification of the type of study, sampling methods, hypothesis/null hypothesis, questioning, variables,
and bias.
1. The essential difference between an experiment and an observational study is what?
Stats Scenario 1:
In order to assess the effects of exercise on reducing cholesterol, a researcher took a random sample of fifty
people from a local gym who exercised regularly and another random sample of fifty people from the
surrounding community who did not exercise regularly. They all reported to a clinic to have their cholesterol
measured. The subjects were unaware of the purpose of the study, and the technician measuring the
cholesterol was not aware of whether or not subjects exercised regularly.
2. Use Stats Scenario 1.
This is what type of study?
3. A researcher wishes to determine if playing video games influences violent behaviors in teens. He randomly
selects 100 parents and asks them if their children play video games and if they have been in trouble at school
for aggressive behavior. What type of study best describes the type of study the researcher conducted?
Stats Scenario 2.
Do certain car colors attract the attention of police more than others, so that they are more likely to get
speeding tickets? A few years ago a curious newspaper columnist tabulated the car color on a random
sample of 120 speeding citations at the local courthouse. Here are his results.
Color
Number of speeding tickets
Red
16
White/Silver
33
Gray/Black
39
Other
32
He then went to the state motor vehicle registry and obtained data on the distribution of car colors for all cars
registered in his state:
Color
Percentage of cars on highway
Red
14%
White/Silver
35%
Gray/Black
23%
Other
28%
4. Use Stats Scenario 2.
What are the correct hypothesis and null hypothesis for this study?
5. Use Stats Scenario 2.
To answer the question posed above about car color and speeding tickets, the appropriate null hypothesis is:
6. Use Stats Scenario 2. What are the correct expected counts for speeding tickets under the null hypothesis?
7. Use Stats Scenario 2. If it was discovered that black/gray cars were ticketed at a higher proportion than the
proportion of registered black/gray cars on the road, what would be an appropriate assumption to draw from
this information?
Stats Scenario 3
A sportswriter wants to know how strongly Lafayette residents support the local minor league baseball team,
the Lafayette Leopards. She stands outside the stadium before a game and interviews the first 20 people who
enter the stadium.
8. Use Stats Scenario 3. The intended population for this survey is: : _______?
9. Use Stats Scenario 3.The sample for the survey is: _______?
10. Use Stats Scenario 3. The newspaper asks you to comment on the sampling technique used to perform the
survey of local opinion. What would you say about the technique and the quality/accuracy of the results the
technique would generate?
11. In order to assess the opinion of students at the University of Minnesota on campus snow removal, a reporter
for the student newspaper interviews every 12th student on the entire University roster. The method of
sampling used is: _______?
12. A television station is interested in predicting whether voters in its viewing area are in favor of offshore
drilling. It asks its viewers to phone in and indicate whether they support/are in favor of or are opposed to this
practice. Of the 2241 viewers who phoned in, 1574 (70%) were opposed to offshore drilling. Are the
viewers who phoned the population being studied? If they are a sample, what type of sample would they be?
____ 13. A marketing research firm wishes to determine if the adult men in Laramie, Wyoming, would be interested in
a new upscale men’s clothing store. From a list of all residential addresses in Laramie, the firm selects a
simple random sample of 100 and mails a brief questionnaire to each. The chance that all 100 homes in a
particular neighborhood in Laramie end up being the sample of residential addresses selected is
A. the same as for any other set of 100 residential addresses.
B. exactly 0. Simple random samples will spread out the addresses selected.
C. reasonably large due to the “cluster” effect.
D. 100 divided by the size of the population of Laramie.
E. large since the population of Laramie is small.
14. A public opinion poll in Ohio wants to determine whether or not registered voters in the state approve of a
measure to ban smoking in all public areas. They select a simple random sample of fifty registered voters
from each county in the state and ask whether they approve or disapprove of the measure. This is an
example of what type of sampling?
____ 15. A stratified random sample is appropriate when
A. It is impractical to take a simple random sample because the population is too large.
B. The population can be easily subdivided into groups according to some categorical
variable, and the variable you are measuring is quite different within the groups but very
similar between groups.
C. The population can be easily subdivided into groups according to some categorical
variable, and the variable you are measuring is very similar within the groups but quite
different between groups.
D. You intend to take a sample of more than 100 individuals.
E. You want to avoid undercoverage of certain groups.
16. To determine the proportion of each color of Peanut Butter M&M, you buy 10 1.69 ounce packages and count
how many there are of each color. This is an example of what type of sampling?
17. A 1992 Roper poll found that 22% of Americans say that the Holocaust may not have happened. The actual
question asked in the poll was “Does it seem possible or impossible to you that the Nazi extermination of the
Jews never happened?” and 22% responded possible. Why can the results of this poll not be trusted?
18. In the late 1990’s Scotland was considering independent from England. An opinion poll showed that 51% of
Scots favor "independence." Another poll taken at the same time showed that only 34% favored being
"separate" from England. Why do these results differ by so much?
19. Frequently, telephone poll-takers call near dinner time—between 6 pm and 7 pm—because most people are
at home them. This is an effort to avoid what type of questioning problem(s)?
20. The Bradley effect is a theory proposed to explain observed discrepancies between voter opinion polls and
election outcomes in some elections where a white candidate and a non-white candidate run against each
other. The theory proposes that some voters tend to tell pollsters that they are undecided or likely to vote for
a non-white candidate, and yet, on election day, vote for the white opponent. This is an example of what
type of question/response error(s)?
21. Just before the presidential election of 1936, the magazine Literary Digest predicted—incorrectly, as it turned
out—that Alf Landon would defeat Franklin Delano Roosevelt. Landon lost in a landslide. It turned out
that the magazine had only polled its own subscribers, plus others from a list of automobile owners and a list
of people who had telephone service. All three groups had higher than typical incomes during the Great
Depression. This is an example of what type of question/response error(s)?
22. What is the definition of a “closed question?”
____ 23. Which of the following is not a closed question?
A. Do you think Donald Trump would make a good president?
B. Who is your favorite Democratic candidate in this year’s election?
C. What are your feelings about Donald Trump in this election?
D. If you vote this year, will you vote Democratic, Republican, Green, or Independent?
I CAN...
Determine probability and expected value (conditional probability, probability of compound events,
expected value) to make everyday decisions.
24. I toss a penny and observe whether it lands heads up or tails up. Suppose the penny is fair, i.e., the probability
of heads is 1/2 and the probability of tails is 1/2. What does this mean?
25. You have been given a unique opportunity. You can take a guaranteed gift of $240 now or you can take a
chance. With your chance, you will have a 25% chance of winning $1000 and a 75% chance of winning
nothing. What is the expected value if you take a chance?
26. If you sell your stock, you are guaranteed to lose $740. If you keep your stock, you have a 75% chance to
lose $1000 and a 25% chance to lose nothing. What is your expected value if you keep your stock?
27. Jim is throwing horseshoes at a target while playing a carnival game. If he hits the target once, he wins $1
and earns the chance to throw again. If he hits the target the second try, he wins an additional $5. If he
misses the target the first try, the game is over and he wins nothing. Based on his skill, he has a probability
of .40 of hitting the target each time he throws a horseshoe. If he plays the game 10 times, how much is he
expected to win?
28. A box has 10 tickets in it, two of which are winning tickets. You draw a ticket at random. If it's a winning
ticket, you win. If not, you get another chance, as follows: your losing ticket is replaced in the box by a
winning ticket (so now there are 10 tickets, as before, but 3 of them are winning tickets). You get to draw
again, at random. Which of the following are legitimate methods for using simulation to estimate the
probability of winning?
I. Choose, at random, a two-digit number. If the first digit is 0 or 1, you win on the first draw; If the first
digit is 2 through 9, but the second digit is 0, 1, or 2, you win on the second draw. Any other two-digit
number means you lose.
II. Choose, at random, a one-digit number. If it is 0 or 1, you win. If it is 2 through 9, pick a second
number. If the second number is 8, 9, or 0, you win. Otherwise, you lose.
III. Choose, at random, a one-digit number. If it is 0 or 1, you win on the first draw. If it is 2, 3, or 4, you
win on the second draw; If it is 5 through 9, you lose.
Probability Scenario 1
If you draw an M&M candy at random from a bag of the candies, the candy you draw will have one of six
colors. The probability of drawing each color depends on the proportion of each color among all candies
made. The table below gives the probability that a randomly chosen M&M had each color before blue M &
M’s replaced tan in 1995.
Color
Probability
Brown
0.3
Red
0.2
Yellow
?
Green
0.1
Orange
0.1
Tan
0.1
29. Use Probability Scenario 1. The probability of drawing a yellow candy is
30. Use Probability Scenario 1. The probability that you do not draw a red candy is
31. Use Probability Scenario 1. The probability that you draw either a brown or a green candy is
Probability Scenario 2:
Ignoring twins and other multiple births, assume that babies born at a hospital are independent random events
with the probability that a baby is a boy and the probability that a baby is a girl both equal to 0.5.
32. Use Probability Scenario 2. The probability that the next five babies are girls is
33. Use Probability Scenario 2. The probability that at least one of the next three babies is a boy is
____ 34. Use Probability Scenario 2. The events A = the next two babies are boys, and B = the next two babies are girls
are
A. disjoint.
B. conditional.
C. independent.
D. complementary.
E. none of the above.
____ 35. Among the students at a large university who describe themselves as vegetarians, some eat fish, some eat
eggs, some eat both fish and eggs, and some eat neither fish nor eggs. Choose a vegetarian student at
random. Let E = the event that the student eats eggs, and let F = the event that the student eats fish. Which
of the following Venn diagrams has correctly shaded the event that the student eats neither fish nor eggs?
A.
D.
B.
E.
C.
Probability Scenario 3:
A student is chosen at random from the River City High School student body, and the following events are
recorded:
M = The student is male
F = The student is female
B = The student ate breakfast that morning.
N = The student did not eat breakfast that morning.
The following tree diagram gives probabilities associated with these events.
36. Use Probability Scenario 3. What is the probability that the selected student is a male and ate breakfast?
37. Use Probability Scenario 3. What is the probability that the student had breakfast?
38. Use Probability Scenario 3. Given that a student who ate breakfast is selected, what is the probability that he
is male?
39. Use Probability Scenario 3. Find
and write in words what this expression represents.
Probability Scenario 4:
The Venn diagram below describes the proportion of students who take chemistry and Spanish at Jefferson
High School, Where A = Student takes chemistry and B = Students takes Spanish.
Suppose one student is chosen at random.
40. Use Probability Scenario 4. Find the value of
41. Use Probability Scenario 4.
and describe it in words.
The probability that the student takes neither Chemistry nor Spanish is
Probability Scenario 5:
The following table compares the hand dominance of 200 Canadian high-school students and what methods
they prefer using to communicate with their friends.
Left-handed
Right-handed
Total
Cell phone/Text
12
43
55
In person
13
72
85
Online
9
51
60
Total
34
166
200
Suppose one student is chosen randomly from this group of 200.
42. Use Probability Scenario 5. What is the probability that the student chosen is left-handed or prefers to
communicate with friends in person?
43. Use Probability Scenario 5. If you know the person that has been randomly selected is left-handed, what is
the probability that they prefer to communicate with friends in person?
Probability Scenario 6:
One hundred high school students were asked if they had a dog, a cat, or both at home. Here are the results.
Dog?
Total
No
Yes
Cat?
No
74
4
78
Yes
10
12
22
Total
84
16
100
44. Use Probability Scenario 6. If a single student is selected at random and you know she has a dog, what is the
probability she also has a cat?
45. Use Probability Scenario 6. If a single student is selected at random, what is the probability associated with
the union of the events “has a dog” and “does not have a cat?”
46. Use Probability Scenario 6. If two students are selected at random, what is the probability that neither of them
has a dog or a cat?
Probability Scenario 7:
The Pork ‘n’ Spud Restaurant serves all BBQ plates with a potato side dish, but customers are not allowed to
choose which type of potato side dish that they receive. The area (bar) model below shows a customer’s
comparative probability of receiving a particular type of potato side dish, depending on what day it is (the
restaurant is open Monday through Friday).
47. Use Probability Scenario 7.
Over the span of one week, what is the probability that a customer will receive french fries? Express as a
fraction.
48. Use Probability Scenario 7.
What is the probability that a customer will receive a baked potato on his or her BBQ plate on Wednesday?
Express as a fraction.
49. At a carnival game, you may win an inflatable crayon, you may win a small stuffed animal, or you may win
nothing at all. If the probability of winning nothing is 0.64 and the probability of winning a small stuffed
animal is 0.28, what is the probability of winning an inflatable crayon? Express your answer as a decimal.
50. A deli offers a lunch-special that comes with soup, a sandwich, and a dessert. The soup choices are tomato or
onion, the sandwich choices are ham, chicken, tuna, or pastrami, and the dessert choices are cake or pie.
a.
List all possible lunch-special combinations.
b.
What is the size of the lunch-special sample space? Explain your answer.
I CAN analyze and critique reported statistical information, summaries, and graphical displays,
calculate the mean, median, mode, range, and graph and interpret data displays.
51. The five-number summary of the distribution of scores on the final exam in Psych 001 last semester was:
18
39
62
76
100
The 80th percentile was:
52. Which of the following dot plots would best be approximated by a Normal distribution?
____ 53.
Which of the following best describes the shape of distribution of three-point shots per game above?
A. Skewed left
B. Skewed right
C. Approximately uniform
D. Approximately Normal
E. Symmetric, but distinctly non-Normal.
54. Find the mean, median, mode, and range of the data set.
Number of Books Read
Sylvester
218 Edmund
Rashin
217 Treya
224
217
____ 55. Find a set of 5 items that has a range of 9, a mean of 15, a median of 14, and a mode of 11.
A. 11, 11, 13, 15, 20
C. 11, 11, 14, 19, 20
B. 5, 11, 14, 14, 31
D. 6, 10, 14, 15, 15
I CAN...
understand how identification numbers such as UPCs and credit cards numbers are created and
verified.
____ 56. Which of the following check digits (d) will make the UPC given valid? 0-56824-87654-d
A.
B.
C.
D.
3
5
7
9
____ 57. Which of the following credit card numbers is valid?
A. 4620 0711 1042 5389
B. 5011 1803 4801 9120
C. 5030 1382 1776 1985
D. 5717 0183 4450 3389
I CAN...
Create and use two- and three-dimensional representations of authentic situations, applying
proportional reasoning to these representations in order to solve problems.
58. Three balls are packaged in a cylindrical container as shown below. If the balls just touch the top, bottom, and
sides of the cylinder, how much of the space inside the cylinder is not filled by the balls if the diameter of a
single ball is 7 cm? Justify each step in your solution.
59. A half sheet cake is
and will serve 36 people. In order to give each of the 36 people identical
slices of cake with none left over, what should be the dimensions of each piece of cake?
60. A can of flea bomb spray states that one can will cover an area that is
you get to flea bomb a one story, rectangular house that is
?
. How many cans should
61.
The aspect ratio of a television screen is 4:3. If the opening above your fireplace (which is meant for a TV)
is
, and you want the largest possible TV, which of the television sets below should you buy?
I CAN...
Utilize weighted averages to determine overall averages.
Averages Scenario 1:
Percy’s AMDM grades are listed below, in their appropriate categories. You can see that Senioritis was a
serious problem for Percy this year. Percy hopes to graduate but he has to pass this course...and it’s looking
like he might be cuttting it very, very close.
Use the gradebook report below to find out.
(Each individual grade shown below is weighted equally within its category with other grades within that
same category).
62. Use Averages Scenario 1.
OPEN ENDED. Answer all parts of the question below.
a) What grade did Percy have, going into the final exam?
b) Calculate Percy’s category averages and his overall average in AMDM. Show your work. Did Percy pass
AMDM B?
c) If he did not pass, what final exam grade did he need to make a 70?
d) What final exam grade did he make to make an 80?
e) What final exam grade did he need to make a 90?
I CAN...
create and analyze mathematical models to make decisions related to earning, investing, spending, and
borrowing money by using exponential models for income, expenditures, loans, and investments.
63. Betty Blue is a choreographer. Her biweekly salary is $6,514. What is Betty’s gross annual income?
64. John and Loretta Smith are in the 28% tax bracket. Their joint taxable income is $134,899. If the first $16,050
is taxed at 10%, with the remainder at 28%, how much tax will they owe?
65. Roland had $10,500 in medical expenses last year and has no medical insurance. The IRS allows medical
expense deductions for the amount that exceeds 7.5% of a taxpayer’s adjusted gross income. If Roland’s
adjusted gross income is $31,000, how much can he claim as a medical deduction?
66. Marta Perez sells coffee beans to local coffee shops. She earns a 10% straight commission on all sales. In
November, her sales totaled $38,500. What was her commission?
67. Colleen Truman earns a 4.5% commission on all sales. In June, her sales totaled $40,000. How much did she
earn in commission?
68. Jason Ayers works as a lifeguard earning $8.75 an hour for 20 hours per week. What is Jason’s straight-time
pay for the week?
69. Marianne opened a retirement account that has an annual yield of 5.5%. She is planning to retire in 25 years.
How much should she put into the account each month so that she will have $500,000 when she retires?
70. Use the summary section of the monthly credit card statement below to calculate the finance charge.
71. Mantago wants to borrow $10,000 to buy a used car. He examined his budget and decides that he can afford a
payment of $200 a month. If his bank offers him an APR of 7.5%, how long should he borrow the money so
he can afford his monthly payment?
72. Dr. Drake is thinking about retirement and decides to sail around the world once he retires. He buys a sailboat
for $125,000. He borrows the money at an APR of 7.5% for five years. What will his total interest be?
73. What is the monthly periodic rate on a loan with an APR of 18.6%?
I CAN...
Use a variety of network models to organize data in quantitative situations, make informed decisions,
and solve problems.
____ 74. Which of the following represents an Euler Circuit?
A. CBDFEACFDBA
B. BDCFDBAFEAC
C. FEACBDCFDBA
D. DCFDBAFEACB
75. Explain why the following two figures do not represent the same graph.
76. Does the following graph have an Euler Path or an Euler Circuit?
77. Does the following graph have an Euler Path or an Euler Circuit?
78. Below is the sketch of a town. A, B, and C represent islands in the middle of the town’s river. There are nine
bridges, shown below, joining the islands and the two banks of the river. The bridges are represented by bold
lines.
Is it possible for the town’s tourism board to design a bus tour which crosses each bridge once and only once?
If so, will the tour begin and end at the same place, or not? If such a bus tour is possible, find an appropriate
route.
79. Does the following graph have an Euler Path or an Euler Circuit?
80. Does the graph below have an Euler Path? Euler Circuit? Hamiltonian Path? Hamiltonian Circuit?
81. Does the graph below have an Euler Path? Euler Circuit? Hamiltonian Path? Hamiltonian Circuit?
82. WIlly is a traveling salesman. He is pondering his upcoming sales trip. He wants to tour five cities: A, B,
C, D, and E. The one-way airfares between any two cities are shown on the graph. Willy lives in city A,
and so he would like to start and end his tour in A.
Willy would like to find the optimal (least expensive) tour between the five cities.
The flights and fares are shown below. List all possible circuits for Willy and determine the least expensive
one.
83. What is the minimum number of colors that are needed to color the map shown below so that no two colors
appear in adjacent regions?
84. What is the minimum number of colors that are needed to color the map shown below so that no two colors
appear in adjacent regions?
85. Warner Robins is planning a new zoo. There will initially be a chimpanzee, gazelle, giraffe, lion, and panda.
The zookeeper needs to determine the minimum number of enclosures with the following restrictions: the
chimpanzee cannot be with the lion or panda. The gazelle cannot be with the lion or panda. The giraffe
cannot be with the lion. The lion cannot be with the chimpanzee, gazelle, giraffe, or panda. The panda
cannot be with the chimpanzee, gazelle, or lion.
How many new habitats would be the minimum number required under these rules?
Network Scenario 1:
The activity graph below provides task completion times in hours. Use this graph to answer the questions
below.
86. Use Network Scenario 1.
What is the minimum completion time for the project based on the graph?
87. Use Network Scenario 1.
Which activities are critical?
Network Scenario 2:
The activity table shown below will be used to answer questions related to PERT.
88. Use Network Scenario 2.
What is the minimum number of days needed to complete the activities?
89. Use Network Scenario 2.
How long could the storyline task be delayed without affecting the overall completion time?
AMDM STUDY GUIDE
Answer Section
1. ANS:
an experiment imposes treatments on the subjects, but an observational study does not.
PTS: 1
REF: #1
2. ANS:
observational study.
TOP: Experiment vs. Observational study
PTS: 1
DIF: #1
3. ANS:
Observational Study
TOP: Experiment vs. Observational study
PTS: 1
REF: #1
TOP: Type of Study
4. ANS:
: Certain car colors get more tickets than others.
: There is no evidence that certain car colors get more speeding tickets than others.
PTS: 1
REF: #2
TOP: Identify hyp and null hyp
5. ANS:
The distribution of car colors for the speeding citations is the same as the distribution of colors for cars on the
highway.
PTS: 1
6. ANS:
REF: #2
TOP: Null hypothesis
PTS: 1
REF: #2
TOP: Expected countsHyp
7. ANS:
Reject H0: there is evidence that certain car colors get more speeding tickets than others.
PTS: 1
REF: #2
8. ANS:
all residents of Lafayette.
TOP: Conclusion given results
PTS: 1
REF: #2
TOP: Identify population
9. ANS:
the 20 people who gave the sportswriter their opinion.
PTS: 1
REF: #6
TOP: Identify sample
10. ANS:
This is a convenience sample. It will almost certainly overestimate the level of support among all Lafayette
residents.
PTS: 1
REF: #4
11. ANS:
a systematic sample
TOP: Convenience sample
PTS: 1
REF: #3
12. ANS:
a voluntary response sample.
TOP: Systematic sample
PTS: 1
REF: #5
13. ANS: A
PTS: 1
14. ANS:
stratified random sample.
TOP: Voluntary response
REF: #5
TOP: SRS definition
PTS: 1
15. ANS: C
16. ANS:
cluster sampling
TOP: Stratified random sample
REF: #6
TOP: Why stratify
REF: #6
PTS: 1
PTS: 1
REF: #6
TOP: ClusterSampling
17. ANS:
the question is worded in a confusing manner.
PTS: 1
REF: #8
TOP: Question wording
18. ANS:
the wording of questions has a big effect on poll results.
PTS: 1
19. ANS:
nonresponse.
REF: #8
TOP: Question wording
PTS: 1
20. ANS:
response bias.
REF: #9
TOP: NonResponseBias
PTS: 1
21. ANS:
undercoverage.
REF: #9
TOP: ResponseBias
PTS: 1
REF: #9
TOP: UndercoverageBias
22. ANS:
A question that can only be answered with choices provided.
PTS: 1
REF: #7
TOP: Closed Question
23. ANS: C
PTS: 1
REF: #7
TOP: Closed Question
24. ANS:
if I flip the coin many, many times the proportion of heads will be approximately 1/2, and this proportion will
tend to get closer and closer to 1/2 as the number of tosses increases.
PTS: 1
25. ANS:
$250
REF: #10-#18
TOP: Idea of probability
PTS: 1
26. ANS:
-$750
REF: #18
TOP: Expected Value
PTS: 1
27. ANS:
$12.00
REF: #18
TOP: Expected Value
PTS: 1
28. ANS:
I and II
REF: #18
TOP: Expected Value
PTS: 1
29. ANS:
.2.
REF: #10-#18
TOP: Simulation to estimate probability
PTS: 1
30. ANS:
.8.
REF: #10-#18
TOP: Basic Probability Rules
PTS: 1
31. ANS:
.4.
REF: #10-#18
TOP: Complement rule
PTS: 1
32. ANS:
0.03125.
REF: #10-#18
TOP: Addition of disjoint events
PTS: 1
33. ANS:
0.875.
REF: #10-#18
TOP: Mult,IndepEvents
PTS: 1
34. ANS: A
35. ANS: A
36. ANS:
0.32
REF: #10-#18
PTS: 1
PTS: 1
TOP: Complement rule
REF: #10-#18
TOP: Mutually exclusive events
REF: #10,#11#12 TOP: VennDiagrams
PTS: 1
37. ANS:
0.50
REF: #15,#16,#17
TOP: Probabilities from tree diagram
PTS: 1
38. ANS:
0.64
REF: #15,#16,#17
TOP: Probabilities from tree diagram
PTS: 1
REF: #15,#16,#17 TOP: Probabilities from tree diagram
39. ANS:
0.30; The probability the student ate breakfast, given she is female.
PTS: 1
REF: #15,#16,#17 TOP: Probabilities from tree diagram
40. ANS:
0.6; The probability that the student takes either chemistry or Spanish, or both.
PTS: 1
41. ANS:
0.4
REF: #15#16#17
TOP: VennDiagrams
PTS: 1
42. ANS:
0.53
REF: #15#16#17
TOP: VennDiagrams
PTS: 1
43. ANS:
0.382
REF: #10#11#12
TOP: Prob2WayTable
PTS: 1
44. ANS:
0.75
REF: #10,#11,#12
TOP: Prob2WayTable
PTS: 1
45. ANS:
0.9
REF: #10,#11,#12
TOP: Prob2WayTable
PTS: 1
46. ANS:
0. 548
REF: #10,#11,#12
TOP: Prob2WayTable
PTS: 1
47. ANS:
REF: #10,#11,#12
TOP: Prob2WayTable
PTS: 1
48. ANS:
REF: #13,#14
TOP: Area Model Probability
PTS: 1
49. ANS:
0.08
REF: #13,#14
TOP: Area Model Probability
PTS: 1
REF: #10,#11,#12 KEY: probability | complement
50. ANS:
a. Make an organized list to show all the possible lunch-special combinations.
tomato, ham, cake
tomato, ham, pie
tomato, chicken, cake
tomato, chicken, pie
tomato, tuna, cake
tomato, tuna, pie
tomato, pastrami, cake
onion, ham, cake
onion, chicken, cake
onion, tuna, cake
onion, pastrami, cake
b.
tomato, pastrami, pie
onion, ham, pie
onion, chicken, pie
onion, tuna, pie
onion, pastrami, pie
The size of the sample space is the number of different lunch combinations. There are 16 different lunch
combinations available.
PTS: 1
REF: #15
51. ANS:
between 76 and 100
KEY: combinations sample space
PTS: 1
52. ANS:
E
REF: #19#20#21
TOP: Percentiles
PTS: 1
53. ANS: D
54. ANS:
The mean is
REF: #19#20#21
PTS: 1
TOP: Recognizing Normal distribution
REF: #19
TOP: Central limit theorem
55.
56.
57.
58.
PTS:
ANS:
ANS:
ANS:
ANS:
269.4
books; the median is
1
C
A
A
REF:
PTS:
PTS:
PTS:
PTS: 1
59. ANS:
Each piece will be
#20#21
1
1
1
books; the mode is 217 books; and the range is 7 books.
KEY:
REF:
REF:
REF:
REF: #24
meanmedianmode
20#21
TOP: MeanMedianMode
#22
KEY: UPCValid
#23
KEY: CCValid
KEY: VolumeTennisBalls
PTS: 1
REF: #24
60. ANS:
29 cans of flea bomb
TOP: Area, Divided
PTS: 1
61. ANS:
REF: #24
TOP: Area, Divided
PTS: 1
62. ANS:
REF: #25
TOP: AspectRatio
50%
Tests
100
95
20%
Learning Tasks Daily
40
63
5%
15%
Quiz
10%
Final
0
0
50
50
76
63
70
39
20
20
88
47
60
60
52
66
82
58.28571429 23.33333
35.4
76
66.73
a) Going into the final exam he had a 65.7%. This grade is VERY hard to bring up to passing with a final
exam that only counts 10%. Also - students would need to average the categories pre-final and
((0.5*82)+(0.2*58.28571429)+(0.05*23.33333)+(0.15*35.4))/(0.90)
(because only 90% of the grade has been posted!)
b) Percy ended up with a 66.73. He did not pass.
c) To have passed AMDM, he would have needed a 105 (maybe there is some extra credit?)
d) To have made a “B” in AMDM, he would have needed a 204 (not possible).
e) To have made an “A” in AMDM, he would have needed a 304!
PTS: 1
63. ANS:
$169,364
REF: #26#27
KEY: weighted averages
PTS: 1
REF: #28
KEY: GrossIncome
64. ANS:
$34,882.72
(16,050  0.1) + 0.28(134,899 16,050) = 1,605 + 33,277.72 = $34,882.72
PTS: 1
REF: #29
KEY: TaxesPercentages
65. ANS:
$8,175
31,000  0.075 = 2,325; 10,500 2,325 = $8,175
PTS: 1
66. ANS:
$3,850
REF: #29
KEY: TaxesPerrcentages
PTS: 1
67. ANS:
$1,800
REF: #331
TOP: Commission
PTS: 1
68. ANS:
$175.00
REF: #31
TOP: Commission
PTS: 1
69. ANS:
REF: #30
KEY: Hourly pay
= $778.77
PTS: 1
REF: #32,#33
70. ANS:
$10.06
805  0.0125 = $10.06
PTS: 1
71. ANS:
5 years
REF: #37-#39
PTS: 1
72. ANS:
$25,284.61
REF: #35
; 2,504.74  60 = 150,284.61;
150,284.61 – 125,000 = $25,284.61
PTS: 1
73. ANS:
1.55%
18.6 ÷ 12 = 1.55
REF: #36
PTS: 1
REF: #38
74. ANS: C
PTS: 1
REF: #41
75. ANS:
They have different edge sets.
The edge sets of the lefthand graph are
. The edge sets of the right hand graph
are
. Had the edge sets been the same they would have been considered the
same graph. The fact that the names of each vertex have changed would not have been important if the same
edge sets had resulted.
PTS: 1
TOP: GraphTheory
76. ANS:
It has an Euler Path but no Euler Circuit
Because it has exactly two odd vertices.
PTS: 1
TOP: GraphTheory
77. ANS:
It has neither an Euler Path nor an Euler Circuit.
Because it has exactly four odd vertices.
PTS: 1
78. ANS:
TOP: GraphTheory
This graph has two odd vertices and connected so it has an Euler path. The town can design such a bus tour.
It will begin at W (or E) and end at E (or W). One such Euler Path: WABEBAWECE
PTS: 1
79. ANS:
It has an Euler Path and and Euler Circuit
Because it is connected and has no odd vertices.
An Euler Circuit is a type of Euler Path.
PTS: 1
TOP: GraphTheory
80. ANS:
This graph has no Euler circuits but does have Euler Paths
This graph has no Hamiltonian Circuits but does have Hamiltonian paths.
PTS: 1
81. ANS:
This graph has no Euler circuits, no Euler paths. (Too many odd vertices)
This graph has no Hamiltonian circuits and no Hamiltonian paths.
PTS: 1
82. ANS:
The least expensive trip is $676. ADBCEA (or its reverse...AECBDA)
PTS: 1
83. ANS:
2
PTS: 1
84. ANS:
2
REF: #39#40
PTS: 1
85. ANS:
3
REF: #39#40
PTS: 1
86. ANS:
14 hours
REF: #41
PTS: 1
87. ANS:
B, D, &E
PTS: 1
88. ANS:
93
PTS: 1
89. ANS:
3 Hours
PTS: 1