AnswersIntegrated Math I BAbsolute Value Relationships

Inferences and Predictions Answers

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1
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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.
3

At Brighton Middle School, Mr. Yule asked 50 randomly selected students from each grade level about their favorite subject, and 12 chose science. He used this data to draw the inference that about 25% of middle school students will indicate science is their favorite subject. If there are 200 students all together, did he make a reasonable inference?

A
No, Mr. Yule’s sample is biased and too small to be representative of the population.
B
Yes, Mr. Yule’s sample is small and biased, so it is representative of the population.
C
No, Mr. Yule’s percentage is too large. He should have used 6%.
D
Yes, Mr. Yule’s sample is random and representative of the population.
4

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
5

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.
6

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.
7

Two random samples were taken to determine how often people in a community listen to the local radio station each month. The first sample surveyed 15 people as they exited the bank on Main Street. The first sample found that the mean number of hours they listened to the radio each month was 20.The second sample surveyed every sixth person as they exited the only local grocery store until 100 people were surveyed. The second sample found that the mean number of hours they listened to the radio each month was 12.Which statements are true? Check all that apply.

A
The second sample is random.
B
The second sample is likely to be more representative of the population.
C
The first sample is likely to be more representative of the population.
D
The second sample will give a better representation because is it larger.
E
The first sample will give a better representation because it is smaller.
F
Community members are more likely to listen to the radio station an average of 12 hours a month than 20 hours a month.
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
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.
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
Yes, Jim made a good inference because most students at the rink were sixth graders.

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