Investigate Concepts of Random Sampling

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 only asks 10 people

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

• 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

Andre wants to survey a random sample of the student body in his school to find out which day after school would work best for students to do volunteer work for a local charity. Which sample would best represent the student body?

• asking twenty students waiting in line for lunch

• asking twenty students on their way to the bus after school

• asking one person from the seventh grade daily for twenty days

• asking one person each from twenty different classrooms during the first class period

Four candidates are running for school president. A random sample of students at the school are surveyed about which of the candidates they are likely to choose. The chart above shows the number of students from the random sample who chose each candidate. A total of 800 students are expected to vote in the election for school president. Based on the information shown in the chart, which election outcome is most likely?

• Rasheed will win with 192 votes.

• Rasheed will win with 189 more votes than he had in the survey

• Janelle will win with 8 more votes than the second-place finisher, Rasheed.

• Janelle will win with 128 more votes than the second-place finisher, Rasheed

Lee will conduct a survey at his school. He will select a random sample of students at the school to take the survey. Which sample is the best random sample for Lee to use?

• every other student in the drama club

• every fifth student who enters the school

• every student who rides the same bus as Lee

• every fourth student in Lee’s homeroom class

Select all that apply!

• A

• B

• C

• D

• E

To randomly select 25 basketball players from the 300 players in the NBA, I would:

• Number the players from 01-25, read 3 digits at a time from a random table, discarding repeats and numbers over 25, and then stop when I reach 25.

• Number the players from 0-299, read 2 digits at a time from a random table, discarding repeats and numbers over 299, and stop when I reach 25.

• Number the players from 01-299, read 2 digits at a time from a random table, discarding repeats and numbers over 300, and stop when I reach 25.

• Number the players from 001-300, read 3 digits at a time from a random table, discarding repeats, 000 and numbers over 300, and stop when I reach 25.

Which method is most likely to produce a random sample of the members of your class?

• listing the first six students that come to mind

• choosing the five oldest students in the class

• writing the name of each student on a separate piece of paper and then drawing these slips from a hat

• selecting the first six students to arrive at class

Lana and Jeff each randomly surveyed 15 students about their favorite types of movies. What would you expect to see in the samples? Select all that apply.

• Different members are found in each sample.

• Some members may possibly overlap in each sample.

• Each sample gave the same responses.

• Both samples could be representative of the population.

• Both samples include only Lana and Jeff's friends.

Which method would likely result in a random sample that is representative of the student population?

• Surveying all of the teachers at the school

• Surveying the students on the Student Council

• Surveying 100 students in the cafeteria at lunch

• Surveying 50 students who are in the school band.

Every 10th person is chosen from an alphabetical list of all students attending a school. This is an example of what type of sampling technique?

• Simple Random Sample

• Systematic Random Sample

• Convenience Sampling

• Voluntary Response Sampling