AnswersGrade 7 MathematicsInferences and Predictions

Inferences and Predictions — Quiz Answers

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1
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The city of Hamden received money for improvements of the town’s park. The park committee polled a random sample of 75 residents from the town. Of the 75 residents, 27 would like to see more trees planted in the park. From this information, what can be inferred?

A
About a third of the residents prefer a park improvement of more trees.
B
Exactly 36 percent of the residents in the town would like more trees in the park.
C
Most residents in the town would like to have more trees in the park.
D
Residents who use the park the most would like more trees planted.
2
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Hamden city’s police department needs to choose whether to build a new addition to the police station or to buy new squad cars. Which sampling option might they choose to survey the community?

A
a random sample of 10 percent of Hamden students
B
a random sample of 10 percent of all the people in the construction business
C
a random sample of 10 percent of all car salespersons
D
a random sample of 10 percent of all taxpayers
4

The manager of a popular restaurant wants to know what types of vegetarian dishes people prefer to eat. Which sample would provide the most accurate data?

A
a random group of 5 people at a grocery store
B
the first 30 people leaving the local hamburger stand
C
10 friends at a cookout
D
a random group of 40 people on the street
6

The drama club members at Millie’s middle school are selling tickets to the school play. Millie wants to determine the average number of tickets sold. First, she surveyed the club members in her homeroom, and then she surveyed every third member of the club in her physical education class. Which sampling technique should produce a more representative sample?

A
Both samples should be exactly the same.
B
The second sampling method, surveying drama club members in her physical education class, is the most representative.
C
Neither sample will be representative.
D
The first sampling method, surveying drama club members in her homeroom, is the most representative.
9

When Andrei surveyed 36 random seventh-grade students in the lunchroom, he found that 7 out of 9 would like to try or have already tried snorkeling. Using proportional reasoning, about how many of the 810 seventh-grade students in his school would like to snorkel?

A
About 630 seventh-grade students would like to snorkel.
B
About 157 seventh-grade students would like to snorkel.
C
About 720 seventh-grade students would like to snorkel.
D
About 202 seventh-grade students would like to snorkel.
10

When Jim surveyed 5 sixth-grade students at the community skating rink, he found that only 1 out of the 5 had completed the science project. He knows there are about 160 sixth-grade students in his community, so he infers that around 32 students have finished their science project. Is this a good inference?

A
Yes, Jim made a good inference because most students at the rink were sixth graders.
B
No, Jim did not make a good inference because his sample is too small and 32 is not in the same proportion to the population as 1 to 5.
C
Yes, Jim made a good inference because 32 is the same proportion to the population as 1 to 5.
D
No, Jim did not make a good inference because his sample is too small and may be biased because he only asked students that were at the rink.

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