AnswersCommon Core Math 7 - MA3107 CRSampling Methods

Sampling Methods Answers

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most

T
The representative sample contained all 200 tourists.
T
The representative sample contained more adults than children.
T
The representative sample contained more children than adults.
T
The representative sample contained an equal number of adults and children.
2
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Perry performs a study to determine the average number of flowers on gardenia bushes at a plant nursery. Which will produce the most representative results?

A
a sample of the first 20 gardenia bushes near the entrance
B
a sample of every other gardenia bush in the shade
C
a sample of every other gardenia bush in full sun
D
a sample of 10 gardenia bushes in the shade and 10 in full sun
3

best

T
The sample size is not large enough to represent the population.
T
The sample was not chosen at random.
T
The way the sample was chosen may overrepresent or underrepresent students taking certain language classes.
T
The way the sample was chosen does not sample students from each different language class.
4

best

M
Michelle’s because she sampled the saplings of every family in her group
M
Michelle’s because she sampled the saplings of the first 20 families to choose their saplings
A
Ari’s because she sampled saplings chosen at different times
A
Ari’s because she sampled one more sapling than Michelle sampled
5

most

5
50 students in the art club
4
40 girls on her soccer team
2
2 students from each of the 15 classes
1
10 students from each of the 3 computer electives
6

Kelvin and Lewie each design surveys in order to determine the average number of people who buy food at the mall. Kelvin surveys every other person leaving the food area. Lewie surveys every fifth person leaving the mall’s main entrance. Which set of survey results is most likely to show biased results for people who buy food at the mall?

A
Kelvin’s because he surveyed people leaving an area where food is sold
B
Kelvin’s because he surveyed every other person instead of every fifth person
C
Lewie’s because he surveyed every fifth person instead of every other person
D
Lewie’s because he surveyed people who may or may not have bought food
7

best

N
Nathan’s because his sample was more random
J
Jordan’s because his sample was more random
N
Nathan’s because his sample contained elements of the population
J
Jordan’s because his sample contained elements of the population
8

Lamont designs a survey of town residents in an attempt to predict who will be elected mayor. He chooses his sample of 500 people from the town’s 40,000 residents by asking his question to every person leaving the public library on a Saturday. Which suggestion would most improve Lamont’s random sample?

A
Lamont should sample only adults.
B
Lamont should sample only registered voters.
C
Lamont should decrease the sample size.
D
Lamont should ask every fifth person.
9

A bicycle factory installs about 400 tires per day. Tires are installed Monday through Friday for 8 hours per day. The manager of the factory estimates the number of properly installed tires per week using the process below.In the first hour of work on Monday, 49 out of 50 tires were properly installed. So, there were about 8(49) = 392 properly installed tires on Monday.Considering 5 working days per week, 5(392) = 1,960 is the number of tires properly installed in one week.Which best explains the validity of the results?

A
The results are likely invalid because it is unlikely that the tires installed in one hour on Monday will represent the entire population of tires.
B
The results are likely invalid because the entire population during one week was not part of the sample.
C
The results are likely valid because a large number of tires produced during the week were part of the sample.
D
The results are likely valid because each tire sampled was part of the population of tires that week.
10

Samantha and Luis are attempting to determine the average number of library books that seventh-grade students check out at one time. Samantha surveys every other seventh grade student leaving the library. She samples a total of 40 of the 200 seventh graders. Luis samples 30 of the 200 seventh grade students at random in the school cafeteria. Whose sample is the most random?

A
Luis because his sample is taken from the population of all seventh graders
B
Luis because he samples fewer students
C
Samantha because she samples more students
D
Samantha because her sample is taken from the population of students who use the library

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Sampling Methods Answers — Common Core Math 7 …