AnswersPre-Algebra BInferences 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.
2
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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.
3

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
4

Students at Hampton Middle School sold T-shirts as a school fundraiser. Sylvie asked 12 random seventh-grade students how many T-shirts they sold for the fundraiser. The number of T-shirts each student sold is listed below.3, 4, 8, 5, 2, 5, 0, 5, 3, 4, 3, 7What is the mean of the data set rounded to the nearest tenth?

A
4.0 shirts
B
4.1 shirts
C
4.5 shirts
D
4.9 shirts
5

During her lunch hour, Shawna asked 40 students how many after-school clubs they joined. The list below shows the number of clubs that the students joined.2, 2, 3, 0, 3, 2, 4, 2, 1, 4, 3, 2, 4, 1, 0, 2, 1, 3, 2, 0, 1, 1, 2, 1, 0, 3, 0, 1, 4, 1, 1, 0, 2, 3, 2, 0, 3, 2, 0, 1If this sample is representative of the student population of 360 students, about how many students in the school joined three clubs?

A
15 students
B
63 students
C
109 students
D
189 students
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

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.
8

Principal Phillipi used a random sample of 20 student records to determine how far, in miles, students live from the school. The results are shown below.3, 4, 5, 3, 4,5, 6, 5, 4, 3,2, 3, 4, 5, 6,4, 8, 4, 3, 2 What is the mean distance that his students live from the school, rounded to the nearest tenth?

A
4.1 miles
B
4.2 miles
C
8.0 miles
D
8.3 miles
9

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.
10

Carmen used a random number generator to simulate a survey of how many children live in the households in her town. There are 1,346 unique addresses in her town with numbers ranging from zero to five children. The results of 50 randomly generated households are shown below.Children in 50 HouseholdsNumber of ChildrenNumber of Households051112133104952Using a proportion, what can you infer about the number of households in her town that have more than three children?

A
About 242 households have more than three children.
B
About 269 households have more than three children.
C
About 296 households have more than three children.
D
About 565 households have more than three children.

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