Populations and Sampling Answers

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A camp counselor is trying to determine, of the places they have previously camped, where his campers’ favorite camping spots are. What is the population of the survey?

A
campers who have gone camping before
B
all campers
C
campers who have not gone camping before
D
all counselors
2
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Traverion wants to find the answer to the question “How much money does the average college professor make?” He surveys 50 professors from the university in his hometown. Which best describes whether or not the results of his survey would represent the responses from the entire population of college professors?

A
The results do not represent the population because not all college professors actually responded.
B
The results do not represent the population because the sample does not represent professors from different areas.
C
The results represent the population because the sample contained college professors and the population is college professors.
D
The results represent the population because he sampled a large number of professors.
3

A population of middle school students contains 160 sixth graders, 180 seventh graders, and 140 eighth graders. Nine seventh graders were part of a random sample of the population chosen to participate in a survey. For the sample to accurately represent the population, about how many sixth graders should be chosen?

A
7
B
8
C
14
D
16
4

A survey is targeted at 12-year-old children. Which questions are appropriate for the population? Select two options.

A
What year did you graduate high school?
B
What color was your first car?
C
Where is your favorite vacation spot?
D
What is the last book you read?
E
Should taxes be increased to fund a new park?
5

Amalie wants to know if students in her class prefer hot dogs or hamburgers. Why should Amalie survey the entire population rather than a sample of the population?

A
The population of the students in the classroom accurately represents the population of the whole school.
B
The sample would contain people that are not part of the population.
C
The population is small enough to survey the entire group.
D
The sample would be larger than the population.
6

A dance student wants to know the favorite type of dance class for students at The Dance Academy. She surveys each student in her ballet class. In which way could the results of her survey be most improved?

A
She could sample an equal number of students in each type of dance class.
B
She could sample a proportional number of students in each type of dance class.
C
She could sample one student in each type of dance class.
D
She could sample one teacher from each type of dance class.
7

A teacher needs to find out how many seventh-grade students will be going on a field trip. Which best describes the population that the teacher should survey?

A
the parents of all the students in the school
B
the parents of the seventh-grade students
C
each teacher in the school
D
each student in the school
8

Zander wants to find out what the most popular sporting event is in the district’s high schools. He surveys a sample of the population. Under which condition is surveying a sample valid?

A
The population is small.
B
The population contains a large diverse group of people.
C
There are many different possible answers to the question.
D
There are some people in the population that do not like sports.
9

A seventh-grade teacher asks her students a survey question. Which questions are appropriate for the teacher to ask her population? Select three options.

A
What type of car do you drive?
B
How many hours of sleep do you get per night?
C
On average, how long does it take you to complete your homework?
D
What time do you leave for school in the morning?
E
Who did you vote for in the last presidential election?
10

A landscaper wants to find the answer to the question “How much time do people in Raleigh, North Carolina, spend doing yard work in one week?” He asks the owners of all 120 houses in a Raleigh neighborhood. Which best describes the accuracy of the results of the survey?

A
The survey results will be inaccurate because lawns in one neighborhood do not represent all types of lawns in a large city.
B
The survey results will be inaccurate because the entire population of Raleigh should have been surveyed.
C
The survey results will be accurate because the sample represents the population and the population is the target of the survey.
D
The survey results will be accurate because the sample size was large enough to represent the population.
11

A middle school contains sixth, seventh, and eighth graders. Each grade level contains approximately the same number of students. The principal wants to find the answer to a survey question affecting each student in the school. He asks a sample group “What time do you get up in the morning?” Which of these characteristics define the best sample?

A
one student chosen at random from each grade level
B
an equal number of students chosen at random from each grade level
C
the first 10 students from each grade level to arrive at school in the morning
D
all students arriving on one bus
12

A student wants to find the answer to the question “What is the most popular restaurant in Bedford?” He asks 20 randomly selected customers at one local restaurant. Which best describes the accuracy of the results of the survey?

A
The survey results will be accurate since the sample was chosen randomly.
B
The survey results will be inaccurate since the entire population should have been surveyed.
C
The survey results will be inaccurate since the entire sample of the population was eating at the same restaurant.
D
The survey results will be accurate since the sample represents the population and the population is the target of the survey.
13

Residents in a neighborhood determine the approximate number of dandelions in each yard. Then, they treat some yards with a weed-killing substance. The residents want to answer the question “About how many dandelions are in your yard?” to determine the effectiveness of the weed killer. From which group would it be best to take a sample?

A
all residents of the neighborhood
B
only residents who had their yards treated with weed killer
C
only residents who did not have their yards treated with weed killer
D
only residents who still have dandelions in their yards after treatment with weed killer
14

Emily wants to find out if the carpool line around her school causes too much traffic on neighborhood roads. Which is a valid sample for her survey?

A
25 teachers at the school
B
25 families living near the school
C
25 students waiting for carpool rides
D
25 parents of students who ride the bus to and from school
15

An insurance company is trying to determine the number of phone calls made weekly while driving. Which best describes the population?

A
cell phone owners
B
people over the age of 16
C
licensed drivers who own cell phones
D
licensed drivers who make calls while driving
16

A supervisor wants to know the average number of hours worked by employees in a factory. There are 18 managers, 240 laborers, and 54 administrators. Three managers are chosen to participate in the survey. In order for the sample to accurately represent the population, about how many administrators should be chosen?

A
6
B
9
C
18
D
21

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