AnswersCR02201A Probability and StatisticsPopulations and Sampling

Populations and Sampling Answers

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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
2
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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.
3

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
4

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
5

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.
6

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
7

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?
8

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.
9

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.
10

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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