AnswersCommon Core Math 7 - MA3107 CRInferences and Predictions

Inferences and Predictions Answers

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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
6

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.
7

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.
9

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

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