Inferences and Predictions Answers

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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
Most residents in the town would like to have more trees in the park.
B
Exactly 36% of the residents in the town would like more trees in the park.
C
About a third of the residents prefer a park improvement of more trees.
D
Residents who use the park the most would like more trees planted.
5

The football and soccer teams at Juan’s middle school are selling movie tickets. He wants to determine the average number of tickets sold at the school. First, he surveyed eight random players on the football team. Then, he surveyed every third athlete on the football and soccer team. Which sampling technique should produce a more representative sample?

A
The first sampling method, surveying eight random football players, is the most representative.
B
Neither sample will be representative.
C
Both samples should be exactly the same.
D
The second sampling method, surveying the both teams, is the most representative.
6

The Hamden board of education wants to know how the community feels about building a new media center for the middle school. They called every tenth person on the registration list of 7,300 voters until they had called a total of 40 voters. Which of the following are true of the sample of 40 voters? Check all that apply.

A
The sample is not randomly chosen.
B
The sample should be larger to give more reliable information.
C
The sample size is too large to make inferences.
D
The sample size is too small to represent the population.
E
The sample size is too small and will show larger variation.
F
The sample is invalid because it randomly chooses voters.
G
The sample size is too small and can lead to false inferences.
7

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
10 friends at a cookout
B
the first 30 people leaving the local hamburger stand
C
a random group of 40 people on the street
D
a random group of 5 people at a grocery store
8

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% of Hamden students
B
a random sample of 10% of all car salespersons
C
a random sample of 10% of all taxpayers
D
a random sample of 10% of all the people in the construction business
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 157 seventh-grade students would like to snorkel.
B
About 202 seventh-grade students would like to snorkel.
C
About 630 seventh-grade students would like to snorkel.
D
About 720 seventh-grade students would like to snorkel.
10

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 per member. First, she surveyed the club members in her homeroom, and then she surveyed every third member of the club in her physical education class from an alphabetical list of all members. Which sampling technique should produce a more representative sample?

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

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