AnswersEAP-Algebra Functions and Data Analysis BUnit Test

Unit Test — Unit test Answers

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A researcher wants to survey people from different age groups to analyze voting patterns. Which type of survey will best accomplish this goal?

A
systematic random sampling
B
voluntary sampling
C
convenience sampling
D
stratified sampling
2
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Kai, a seventh grader, wants to determine the average number of times the families in his neighborhood visit the pool during the summer. He samples the families of four of his classmates. Which improvements could Kai make to his sample to increase the validity of the results? Select three choices.

A
sample more families
B
sample families that have children who are not in seventh grade
C
sample families that regularly use the pool
D
sample families whose answer to the survey question is predetermined
E
sample families living in every third house in the neighborhood
3

A utility company hires pollsters to knock on random doors in different parts of town to survey residents about the cost of their electric bill. Would this study be biased? Why or why not?

A
No, it is not biased. All residents of the town will have the opportunity to respond.
B
Yes, it is biased. Some of the residents who are surveyed may not want to respond to someone who knocks at their door.
C
No, it is not biased. All residents who are surveyed will want to respond.
D
Yes, it is biased. Only certain parts of the town were surveyed.
4

If Benito is selecting samples of five values from the table, which row will result in the greatest mean?Population DataRow 142233Row 233432Row 324343Row 434473

A
Row 1
B
Row 2
C
Row 3
D
Row 4
5

An employer asks the survey question “How much money do you spend on gasoline per week to get to work?” of her employees that drive to work. Which best describes why she chose to only ask the employees that drive to work rather than all of her employees?

A
The employees that drive to work were the target of her survey.
B
The employees that drive to work adequately represented the sample.
C
All employees were adequately represented by the sample that drives to work.
D
All employees were too difficult to survey because the group was too large.
6

Kristin wants to ask the managers of the fast food restaurants in a large city “How do you retain employees?” What condition must be true to justify surveying only a sample of the managers instead of surveying the entire population of managers?

A
The population is small.
B
The population is diverse.
C
The population is not the target of the survey question.
D
The population is expensive and time-consuming to survey.
7

Lawrence performs a survey to determine the average number of minutes of exercise seventh-grade athletes get in one week. He gets a list of sports and the seventh-grade students participating in each sport. He then chooses 10 people from each list to complete the survey. How can Lawrence’s sample be improved to be more representative of the population?

A
He can choose his sample from all seventh-grade students.
B
He can choose his sample from a list of students by class rather than by sport.
C
He can choose his sample from every third person on each list rather than 10 people.
D
He can choose his sample from a list of all athletes participating in each sport.
8

The student government at the local middle school surveyed students to help plan the end-of-year party. For the first sample, they surveyed every other person at sports practice after school. For the second sample, they surveyed every fifth person entering the cafeteria where all students eat. Which statement about the samples is true?End-of-Year Party SurveySample 1Sample 2Water Park21Water Park36Bowling/Arcade36Bowling/Arcade28Zoo16Zoo24Dance & Dinner27Dance & Dinner12

A
Sample 1 is biased.
B
Sample 2 is biased.
C
Both samples are biased.
D
Neither sample is biased.
9

A town’s athletic league contains 18 baseball teams. The board members of the league want to survey adults attending games to determine if they believe the athletes are showing good sportsmanship. The board members attended one game and surveyed an equal number of adults supporting each of the two teams. Which best explains the validity of the results?

A
invalid because of biased sampling
B
invalid because the sampled adults are not part of the population
C
valid because an equal number of adults supporting both teams were surveyed
D
valid because adults are the target population
10

When is choosing a sample from a population least likely to be appropriate? Select two options.

A
when the population is small
B
when the population is large
C
when the sample contains proportions of items/events/people that are different from those of the population
D
when the sample contains only items/events/people that reflect the population
E
when surveying the entire population is time consuming
11

Marisa recorded the number of hours she babysat each day last summer. She plotted the data in the box plot.

Question illustration
A
The data is symmetric and shows that she was equally likely to work more than 3.5 hours or less than 5 hours.
B
The data is symmetric and shows that she never worked more than 5 hours.
C
The data is skewed and shows that she was equally likely to work more than 3.5 hours or less than 5 hours.
D
The data is skewed and shows that she never worked more than 5 hours.
12

The wildflower commonly known as Ute Ladies’ Tresses is threatened. Some sample counts were taken of local populations of the flower as part of monitoring and protecting its population. These counts are displayed in the table below. What is the average number of plants at site 2 for both samples?Ute Ladies’ Tresses Mature Plant Count 20102012Site 18464Site 2112120

A
74
B
116
C
148
D
232
13

Voluntary sampling is one type of sampling method that is not probability based. This means that

A
each member of a population is equally likely to be chosen for the survey.
B
the results of the survey cannot reliably be extended and generalized.
C
the likelihood of a member of the population volunteering to be surveyed is not probable.
D
the results of the survey are not mathematically probable.
14

Vickie conducts a survey of home builders to determine the average cost of building a new home. She samples 10 home builders who are building in the town in which she lives. Under which conditions will her sample be a representative sample? Select two options.

A
The builders were chosen at random.
B
The population included only builders who build in Vicki’s town.
C
The population included builders who build homes in any town.
D
The population included builders who do not build homes in Vicki’s town.
E
The builders were referred to Vicki by the realtor who will be selling the houses.
15

The student government wants to determine the theme for the eighth-grade dance. Which group would it be best to take a sample from?

A
student government
B
eighth-grade students
C
eighth-grade students in student government
D
middle school students
16

Out of a population of 1,000 students, 80 were asked by a random sampling what color they would prefer for their first car. Their responses are shown in the table below.Car ColorFavorite ColorNumber of StudentsBlue5Red18Gray27Silver14White16Using proportional reasoning, how many students out of the 1,000 would you expect to prefer a silver car?

A
14
B
66
C
175
D
212
17

Miranda is conducting a poll to determine how many students would attend a students-only school dance if one was held. Which sample is most likely to yield a representative sample for the poll?

A
twenty names from each grade pulled blindly from a container filled with the names of the entire student body written on slips of paper
B
every tenth person walking down Main Street in town at different times of the day
C
all of the students who write into the school newspaper
D
every student from all of Miranda’s classes
18

Geraldo wants to start a group bike ride on Sunday mornings for students at his school. He asked 30 students in the lunchroom how many miles they ride their bikes each month. He obtained the following results.8, 3, 0, 1, 2, 3, 6, 3, 0, 4, 13, 1, 3, 12, 15, 2, 1, 3, 2, 2, 0, 3, 4, 2, 6, 7, 12, 8, 4, 0The fraction shows the ratio of the number of students who ride their bikes more than 10 miles each month to the number of students surveyed. What is the value of x?

Question illustration
A
2
B
3
C
4
D
5
19

At Lawson Middle School, Mr. Hernandez asked 90 randomly selected students from each grade level for their favorite subject, and 28 chose social studies as their favorite. He used this data to draw the inference that out of the 250 middle school students, about 20% prefer social studies. Did he make a reasonable inference?

A
Yes, Mr. Hernandez’s sample is random, not biased, large enough compared to the population, and 28 is 20% of 250.
B
Yes, Mr. Hernandez’s sample is random, not biased, large enough compared to the population, and 28 is 20% of 90.
C
No, Mr. Hernandez’s sample is random, not biased, large enough compared to the population, but 28 is not 20% of 90.
D
No, Mr. Hernandez’s sample is not large enough compared to the population.
20

The president of the math club is conducting a survey to see where the twelfth-grade class wants to go on their field trip. Instead of asking the whole class, she surveys only the twelfth-grade members of the math club. She records their choices and plans to present the results to the school principal. What type of sampling did she use?

A
systematic random sampling
B
simple random sampling
C
stratified sampling
D
convenience sampling

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