AP Stats Sampling Methods

Identify the sampling method:

A community college student interviews the first 100 students to enter the building to determine the percentage of students that own a car.

• Systematic

• Cluster

• Stratified

• Convenience

• Voluntary Response

Identify the sampling method:

A market researcher randomly selects 200 drivers under 35 years of age and 100 drivers over 35 years of age.

• Systematic

• Cluster

• Stratified

• Convenience

• Voluntary Response

Identify the sampling method:

32 sophomores, 35 juniors and 49 seniors are randomly selected from 230 sophomores, 280 juniors, 577 seniors at a certain high school.

• Systematic

• Cluster

• Convenience

• SRS

• Stratified

To ensure customer satisfaction, every 35th phone call received by customer service will be monitored.

• Systematic

• Cluster

• Convenience

• SRS

• Stratified

Identify the sampling method: Calling randomly generated telephone numbers, a study asked 855 U.S. adults which medical conditions could be prevented by their diet.

• Voluntary Response

• Cluster

• Convenience

• SRS

• Stratified

Identify the sampling method:

A pregnancy study in Chicago, randomly selected 25 communities from the metropolitan area, then interviewed all pregnant women in these communities.

• Voluntary Response

• Cluster

• Systematic

• SRS

• Stratified

Is this sample representative? Explain.

To determine the percentage of teenage girls with long hair, Teen magazine published a mail-in questionnaire. Of the 500 respondents, 85% had hair shoulder length or longer (USA Today, July 1, 1985).

• Yes; only teenagers who read Teen could respond. This does represent all teens.

• Yes; all teens had the opportunity to respond.

• No; only teenagers who read Teen could respond. This does not represent all teens.

• No; all teens had the opportunity to respond.

If you have 1,000 schools on the list, number them from 000 to 999 and read the table three digits at a time. What are the first five schools in this sample?

• 24, 19, 83, 72, 41

• 241, 983, 724, 152, 579

• 2419, 8372, 4152, 5761, 0849

In a certain school, students can choose whether to eat in the school’s cafeteria. A reporter working for the school’s newspaper polled students on their reactions to changes in the menu at the cafeteria. For each student leaving the cafeteria in one 20-minute time period, the reporter used a die to determine whether to stop the student and ask how he or she felt about the new menu. In the reporter’s article it was stated that a random sample of the students showed that 23% of the school’s student population was happy with the new menu. Which of the following statements is true?

• Because each student leaving the cafeteria was randomly selected and could choose to answer or not, this is a random sample of the student population, and the 23% is an accurate measurement of the school population’s view of the new menu.

• Because students self-selected whether to eat in the cafeteria, the sampling method might be biased and the sample might not be representative of all students in the school.

• The survey would have been more effective if the reporter had collected the data in one 10-minute time period rather than in one 20-minute time period.

• The survey would have been more effective if students who cared about the food could have called the reporter to tell how they felt about the new menu, so that only students with opinions on the subject would have been surveyed.

• Because no treatment was imposed on the students eating in the cafeteria, one cannot make any conclusions about the new menu.

The student government at a high school wants to conduct a survey of student opinion. It wants to begin with a simple random sample of 80 students. Which of the following survey methods will produce a simple random sample?

• Survey the first 80 students to arrive at school in the morning

• Survey every 5th student entering the school library until 80 students are surveyed.

• Use random numbers to choose 20 each of first-year, second-year, third-year, and fourth-year students.

• Number the students in the official school roster. Use a table of random numbers to choose 80 students from this roster for the survey.

• Number the cafeteria seats. Use a table of random numbers to choose seats and interview the students until 80 have been interviewed.