Exam 14: Censuses, Surveys, Polls, and Studies: the Joys of Collecting Data
Exam 1: The Mathematics of Elections: the Paradoxes of Democracy40 Questions
Exam 2: The Mathematics of Power: Weighted Voting40 Questions
Exam 3: The Mathematics of Sharing: Fair-Division Games38 Questions
Exam 4: The Mathematics of Apportionment: Making the Rounds40 Questions
Exam 5: The Mathematics of Getting Around: Euler Paths and Circuits37 Questions
Exam 6: The Mathematics of Touring: Traveling Salesman Problems40 Questions
Exam 7: The Cost of Being Connected40 Questions
Exam 8: The Mathematics of Scheduling: Chasing the Critical Path40 Questions
Exam 9: Population Growth Models: There Is Strength in Numbers40 Questions
Exam 10: Financial Mathematics: Money Matters40 Questions
Exam 11: The Mathematics of Symmetry: Beyond Reflection40 Questions
Exam 12: Fractal Geometry: the Kinky Nature of Nature39 Questions
Exam 13: Fibonacci Numbers and the Golden Ratio: Tales of Rabbits and Gnomons40 Questions
Exam 14: Censuses, Surveys, Polls, and Studies: the Joys of Collecting Data40 Questions
Exam 15: Graphs, Charts, and Numbers: the Data Show and Tell40 Questions
Exam 16: Probabilities, Odds, and Expectations: Measuring Uncertainty and Risk40 Questions
Exam 17: The Mathematics of Normality: the Call of the Bell40 Questions
Select questions type
A consumer reports group is interested in which medicine works the best. The researchers take 100 volunteers who experience regular head-aches and who are currently not taking any medications. The Researcher split them into four groups of 25 individuals. Group 1 receives four 100-mg doses of Excedrin each day, group 2 receive four 100-mg doses of Tylenol each day, group 3 receives four 100-Mg doses of Advil each day, and group 4 receives four 100-mg doses of a sugar pill each day. After One week, the researchers compare the number of reported head-aches. If the individuals in each group Were unaware of which drug they were receiving, but the researchers knew which group were paired With which drug, then this study is said to be
Free
(Multiple Choice)
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Correct Answer:
C
Refer to the following article. Spring Is Still The In Thing
Associated Press - In order to determine how American undergraduate college
Students feel about eliminating spring break in order to finish spring term a week Early, a survey was conducted. Two hundred undergraduate students from the University of Miami (FL) were interviewed. Both of the interviewers hired to conduct The survey were told to interview 25 freshmen, 25 sophomores, 25 juniors, and 25
Seniors. Of the 200 students interviewed, 20% were in favor of the elimination of
Spring break, 70% were opposed, and 10% had no opinion.What is the population of interest in this study?
Free
(Multiple Choice)
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Correct Answer:
C
75% of Toyota automobiles come equipped with side curtain airbags. This conclusion was made after observing production data regarding all Toyota automobiles. This value of 75% is called a what?
Free
(Multiple Choice)
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Correct Answer:
B
determine the effects of a new high carbohydrate diet intended to treat Depression of prisoners at maximum security prisons, a researcher conducts a study. Five hundred inmates at the Burlington Maximum Security Penitentiary are selected
To participate in the study. The researcher puts the 400 inmates not in solitary Confinement on the new diet. The 100 inmates in solitary confinement are given their Regular meals. The 400 inmates on the new diet are not aware that they being Studied or that their diet has been modified, but have many fewer reported cases of
Depression after 30 days.
-Refer to the situation described above ; how large was the sample?
(Multiple Choice)
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In order to get the opinions of residents of the village of Essex Junction, Vermont, the Village Office on Voting Standards sends a questionnaire to 1000 individuals randomly chosen from the list of all registered voters in the village. Of the 1000 questionnaires sent, 480 are returned. The sample frame for this survey is
(a) the 1000 individuals chosen randomly from the list of all registered voters.
(b) the list of all registered voters in the village.
(c) all residents of the village.
(d) the Village Office on Voting Standards.
(e) None of the above.
(Short Answer)
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students spend less time in the library when compared to non-first-year students. This study was conducted by the Student Life Department on the campus of Essex University in Fowler, New Jersey. The university has a total of 8245 undergraduate students of whom 2316 are first year students. The Student Life Department randomly selected 1600 students consisting of 800 first-year students and 800 non-first-year students and sent out email questionnaires to each. Of the 800 students first-year students, 718 replied to the survey, and of the 800 non-first-year students, 659 replied to the survey. On average, the first-year students reported spending 18.2 hours at the library during a typical week of the academic semester whereas
non-first-year students reported spending 21.5 hours, on average.
-Refer to the situation described above ; how large was the sample?
(Short Answer)
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A randomized controlled study is done to determine whether or not taking a specific herbal supplement causes stress levels to decrease. Sixty individuals are broken into two groups of size thirty. The first group receives a 10 mg dose of an herbal supplement each day while the second group receives a 10 mg dose of a sugar pill made to resemble the herbal supplement each day. After two months the stress levels of each group are measured. The 10 mg sugar pill is an example of a what?
(Essay)
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Every student who lives on campus at your university is required to fill out a room questionnaire before he or she is allowed to return his or her dorm key. After all of the data is collected, the director Of Student Life announces that 94% of students who lived on campus are happy with the current Conditions of the dorm rooms. This study is an example of a
(Multiple Choice)
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Refer to the following article.
Freshmen Not So Fresh When It Comes To Study Habits
Associated Press - A recent study of all US college students has shown that first-year
students spend less time in the library when compared to non-first-year students. This study was conducted by the Student Life Department on the campus of Essex University in Fowler, New Jersey. The university has a total of 8245 undergraduate students of whom 2316 are first year students. The Student Life Department randomly selected 1600 students consisting of 800 first-year students and 800 non-first-year students and sent out email questionnaires to each. Of the 800 students first-year students, 718 replied to the survey, and of the 800 non-first-year students, 659 replied to the survey. On average, the first-year students reported spending 18.2 hours at the library during a typical week of the academic semester whereas
non-first-year students reported spending 21.5 hours, on average.
What is the population of interest in this study?
(Short Answer)
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A factory that produces taco-shells makes a total of 20,000 shells in a batch. A batch is successful and
can be shipped to a customer if no more than 2000 of the shells are broken. The quality control agent
for the company randomly picks 400 shells from the batch and finds that 60 are broken. Based on the
technique of single-estimation, is the batch successful? Explain using statistics.
(Essay)
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A Vermont farmer has four different types of cows on his farm, Aryshire, Friesian, Galloway, and
Jersey. The farmer wants to determine the average amount of milk produced by his cows, so he
randomly selects ten cows from each of the four different types and records their production for one
week. Is this an example of quota-sampling? Explain.
(Essay)
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Some of the students at your university who live in the dorm buildings are asked to fill out a room questionnaire before they return their dorm key. After all of the questionnaires have been collected,
The director of Student Life announces that 94% of students who lived on campus are happy with the Current conditions of the dorm rooms. This study is an example of a
(Multiple Choice)
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Associated Press - In order to determine how American undergraduate college
Students feel about eliminating spring break in order to finish spring term a week Early, a survey was conducted. Two hundred undergraduate students from the University of Miami (FL) were interviewed. Both of the interviewers hired to conduct The survey were told to interview 25 freshmen, 25 sophomores, 25 juniors, and 25
Seniors. Of the 200 students interviewed, 20% were in favor of the elimination of
Spring break, 70% were opposed, and 10% had no opinion
-Refer to the situation described above ; how large was the sample?
(Multiple Choice)
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students spend less time in the library when compared to non-first-year students. This study was conducted by the Student Life Department on the campus of Essex University in Fowler, New Jersey. The university has a total of 8245 undergraduate students of whom 2316 are first year students. The Student Life Department randomly selected 1600 students consisting of 800 first-year students and 800 non-first-year students and sent out email questionnaires to each. Of the 800 students first-year students, 718 replied to the survey, and of the 800 non-first-year students, 659 replied to the survey. On average, the first-year students reported spending 18.2 hours at the library during a typical week of the academic semester whereas
non-first-year students reported spending 21.5 hours, on average.
-Refer to the situation described above ; what is the sampling frame for this study?
(Essay)
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A math student is interested in counting the number of jelly beans in a jar. The student opens the jar and removes 32 jelly beans. She places a distinctive mark on each bean and places it back in the jar. After thoroughly shaking the jar, she reaches in and removes 54 jelly beans of which 17 are marked. Using the techniques of capture-mark-recapture, estimate the number of jelly beans in the jar. Give Your answer rounded to the nearest whole number.
(Multiple Choice)
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A math student is interested in counting the number of jelly beans in a jar. The student opens the jar and removes 45 jelly beans. She places a distinctive mark on each bean and places it back in the jar. After thoroughly shaking the jar, she reaches in and removes 30 jelly beans of which 5 are marked. Using the techniques of capture-mark-recapture, estimate the number of jelly beans in the jar. Give your answer rounded to the nearest whole number.
(Short Answer)
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The local government in your town is interested in building a new youth recreation facility at taxpayers expense. The local government sends out surveys to every town resident who has at least one child Registered in the town school system. Of the 2567 questionnaires sent out, the paper receives 2485 Back, and most are in favor of the new facility. The data drawn from these surveys would most likely Suffer from
(Multiple Choice)
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In order to approximate the average size of a perch in Lake Champlain, a biologist captures and
analyzes 65 perch from 12 different regions of the lake. The researcher finds that on average, a perch
is 23.6 cm in length from head to tail. Is the value of 23.6 cm a statistic or a parameter? Explain.
(Essay)
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During a police line-up, the arresting police officer places the suspect under custody in a room with
five other individuals. The arresting police officer then enters a room where a witness waits and opens
a one-way window to reveal the lined-up individuals. The arresting officer then asks the witness to
identify which of the individuals he or she recognizes as the perpetrator. This is an example of a blind
situation, because the witness doesn't know which individual is the actual suspect. How could this
situation be made double blind?
(Essay)
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Every faculty member at Glasgow College is polled and it is found that 75% are in favor of requiring
that all students must study abroad as part of the general education degree requirements. Is the result
of 75% a statistic or a parameter? Explain.
(Essay)
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