Mr. Payne asked for 5 volunteers from his AP Computer Science students, and let them pick their study habits.

Because he did not randomly select students, he can make assumptions about only the 5 sample students.

1. For a class assignment, Tyler will conduct a survey to find out what students like to do after school. He asks the first 10 people he sees in the gymnasium before school what they like to do after school. Which statement correctly explains whether Tyler's sample is a random sample?

Tyler’s sample is not random because he asks people in a gymnasium.

Tyler’s sample is not random because he only asks 10 people

Tyler’s sample is random because he asks the first 10 people he sees.

Tyler’s sample is random because he asks each person the same question

A program exists to encourage more middle school students to major in math and science when they go to college. The organizers of the program want to estimate the proportion of students who, after completing the program, go on to major in math or science in college. The organizers will select a sample of students from a list of all students who completed the program. Which of the following sampling methods describes a stratified random sample?

Randomly select 25 names from the female students on the list and randomly select 25 names from the male students on the list.

Select all female students on the list.

Randomly select 50 students on the list.

Randomize the names on the list and then select every tenth student on the randomized list.

Randomly select 50 students on the list who are attending college.

The transportation department of a large city wants to estimate the proportion of residents who would use a system of aerial gondolas to commute to work. The gondolas would be part of the city’s effort to relieve traffic congestion. The department asked a random sample of residents whether they would use the gondolas. The residents could respond with yes, no, or maybe. Which of the following is the best description of the method for data collection used by the department?

An experiment with a completely randomized design

An experiment with a randomized block design

An experiment with a matched-pairs design

As part of a study on facility needs, the administrators of a university wanted to estimate the percent of students who use the exercise facilities on a regular basis. From the 34,000 students who attend the university, a random sample of 370 male students and 400 female students was selected. Of the 770 students selected, 493 students indicated that they use the exercise facilities on a regular basis. What are the population and the sample of the study?

The population is the 34,000 students who attend the university, and the sample is the 770 students who were selected.

The population is the 770 students who were selected, and the sample is the 493 students who indicated that they use the exercise facilities on a regular basis.

The population is the 770 students who were selected, and the sample is whether each student in the survey uses the exercise facility on a regular basis.

The population is the 34,000 students who attend the university, and the sample is whether each student in the survey is male or female.

The population is the 34,000 students who attend the university, and the sample is the 493 students who indicated that they use the exercise facilities on a regular basis.

At a large conference of teachers from a variety of subjects, a random sample of 50 mathematics teachers attending the conference was selected. Among the selected mathematics teachers, 28 percent had taken one or more courses in statistics. For which of the following populations is 28 percent a reasonable estimate of the percentage of those who have taken one or more courses in statistics?

All mathematics teachers who attended the conference

All mathematics teachers who have taken one or more courses in statistics

All teachers who attended the conference

A survey was administered to parents of high school students in a certain state to see if the parents thought the students’ academic needs were being met. To select the sample, the parents were divided into two groups— one group of parents who live in cities with populations of more than 100,000 and the other group of parents who live in cities with populations less than or equal to 100,000. A random sample of 100 parents from each group was taken. Which of the following statements about the sample of 200 parents is true?

It is a stratified random sample because parents were randomly selected from each group.

It is a convenience sample because the sample of parents was easily obtained.

It is a random cluster sample because parents were randomly selected from each group.

It is a random cluster sample because groups of high schools were randomly selected.

It is a systematic sample because the parents were systematically divided into two groups.

Random Selection vs Random Assignment

Authored by Torre Mills

Mathematics

9th - 12th Grade

CCSS covered

Used 2+ times

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22 questions

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MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Mr. Payne randomly selected 15 of his AP Computer Science students to survey them about their study habits.

Because he randomly selected students, he can make assumptions about the entire class.

Because he randomly selected students, he can make assumptions about the entire school.

Because he did not randomly select students, he cannot make assumptions about the entire class.

Because he randomly selected students, he can make assumptions about only the 5 sample students.

Tags

CCSS.7.SP.A.1

CCSS.HSS.IC.A.1

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Mr. Payne asked for 15 volunteers from his AP Computer Science students to survey them about their study habits.

Because he randomly selected students, he can make assumptions about the entire class.

Because he randomly selected students, he can make assumptions about the entire school.

Because he did not randomly select students, he cannot make assumptions about the entire class.

Because he randomly selected students, he can make assumptions about only the 5 sample students.

Tags

CCSS.7.SP.A.1

CCSS.HSS.IC.A.1

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Mr. Payne asked for 15 volunteers from his AP Computer Science students to survey them about their study habits.

Because he randomly selected students, he can make assumptions about the entire class.

Because he randomly selected students, he can make assumptions about the entire school.

Because he did not randomly select students, he cannot make assumptions anything.

Because he did not randomly select students, he can only make assumptions about only the 15 sample students.

Tags

CCSS.7.SP.A.1

CCSS.HSS.IC.A.1

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Mr. Payne randomly assigned half of his AP Computer Science students to study for 3 hours, and the other half to study for 6 hours.

Because he randomly assigned students, he can make assumptions about the entire class.

Because he randomly assigned students, he can assume causation.

Because he did not randomly assign students, he can assume causation.

Because he randomly assigned students, he can only assume correlation but not causation.

Tags

CCSS.HSS.IC.B.3

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Mr. Payne let his AP Computer Science students pick whether to study for 3 hours or to study for 6 hours.

Because he randomly assigned students, he can make assumptions about the entire class.

Because he randomly assigned students, he can assume causation.

Because he did not randomly assign students, he can assume causation.

Because he did not randomly assign students, he can only assume correlation but not causation.

Tags

CCSS.HSS.IC.B.3

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Mr. Payne randomly selected 15 of his AP Computer Science students, and flipped a coin to decide their study habits.

Because he randomly selected students, he can make assumptions about the entire class.

Because he randomly selected students, he can make assumptions about the entire school.

Because he did not randomly select students, he cannot make assumptions about the entire class.

Because he randomly selected students, he can make assumptions about only the 15 sample students.

Tags

CCSS.7.SP.A.1

CCSS.HSS.IC.A.1

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Mr. Payne randomly selected 15 of his AP Computer Science students, and flipped a coin to decide their study habits.

Because he randomly assigned students, he can make assumptions about the entire class.

Because he randomly assigned students, he can assume causation.

Because he did not randomly assign students, he can assume causation.

Because he randomly assigned students, he can only assume correlation but not causation.

Tags

CCSS.HSS.IC.B.3

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Random Selection vs Random Assignment

Mr. Payne randomly selected 15 of his AP Computer Science students to survey them about their study habits.

Mr. Payne asked for 15 volunteers from his AP Computer Science students to survey them about their study habits.

Mr. Payne asked for 15 volunteers from his AP Computer Science students to survey them about their study habits.

Mr. Payne randomly assigned half of his AP Computer Science students to study for 3 hours, and the other half to study for 6 hours.

Mr. Payne let his AP Computer Science students pick whether to study for 3 hours or to study for 6 hours.

Mr. Payne randomly selected 15 of his AP Computer Science students, and flipped a coin to decide their study habits.

Mr. Payne randomly selected 15 of his AP Computer Science students, and flipped a coin to decide their study habits.

Mr. Payne asked for 5 volunteers from his AP Computer Science students, and let them pick their study habits.

Mr. Payne asked for 5 volunteers from his AP Computer Science students, and let them pick their study habits.

Keith exposes half of his participants to an episode of a sitcom and half to an episode of a violent television show and then observes them for signs of aggressive behavior.

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