Sampling Methods Answers

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1
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Chelsea wants to determine the number of people in her school who read news reports on the Internet daily. She asks five people in her language arts class. Which improvements could Chelsea make to her sample to increase the validity of the results? Select three options.

A
increase the sample size
B
choose students from different grade levels
C
choose every fourth student in all language arts classes
D
decrease the sample size
E
choose students whose answer to the survey question is predetermined
2
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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
3

The chart below shows the distribution of the number of books in a library.Sahira chooses a random sample from the library and records the type of books in the chart below.Type of BookNumberFantasy10Literature25Children’s4Nonfiction11Which explains whether or not Sahira’s sample is representative?

Question illustration
N
No, it is not representative because literature books were chosen much more often than the other types.
Y
Yes, it is representative because each type of book was chosen a unique number of times.
Y
Yes, it is representative because each type of book was represented in the approximate proportion that exists in the library.
Y
Yes, it is representative because each type of book was selected as part of the sample.
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

best

r
random and biased
r
random and unbiased
n
nonrandom and biased
n
nonrandom and unbiased
6

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
7

Kari plans to sample 20 people of a population that contains 100 students. She wants to determine how many people wake up before 6 a.m. Which sample is the most random?

A
the first 20 students who arrive at school in the morning
B
all 20 boys on the swim team
C
5 students out of each of the 4 homeroom classes
D
the last 20 people in line for breakfast in the cafeteria
9

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
10

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

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