The manager of a bookstore surveys people who buy mystery novels to see if the store should expand its hours. What is the population?

People who visit the bookstore.

A school newspaper is going to investigate students' perceptions regarding the campus security guards. They plan to survey 100 students at the school. The editor-in-chief tells his staff that he is worried about undercoverage bias created by chronically truant students. His concern is...

justified because chronically truant students will be difficult to track down to complete the survey and will probably have a disproportionately negative view of security guards.

unwarranted because some students may refuse to participate and that is inevitable.

unwarranted because students who cannot be surveyed are not a part of the population of interest.

unwarranted because students who cannot be surveyed are not a part of the sample.

justified because people need to be forced to answer a surey in order for the results to be valid.

An advertising agency is testing the effectiveness of a new commercial. They are trying out the commercial in three different time lengths (15, 30, and 60 seconds) and two formats (animated vs. live action). Each test audience will rate the product after seeing the commercial shown in one way. Which description is correct?

An experiment with 2 factors (length and format), one having 3 levels (15, 30, 60) and the other having 2 levels (animated and live) for 6 treatments.

An experiment with 2 factors (length and format) at 5 levels (15, 30, 60, animated and live) for 5 treatments.

An experiment with 1 factor (length) blocked by format with 3 levels (15, 30, 60).

A sample survey with two questions and one response.

A sample stratified by length and format.

In one study, researchers at McGill University recruited 127 people with high cholesterol and randomly split them into two groups. One took a probiotic supplement twice a day for nine weeks, while the second group took a placebo. The probiotic group saw their total cholesterol drop by 9 percent. In a different study, conducted in Britain, 80 volunteers were given probiotics for six weeks and then switched, later on, to a placebo - or vice versa (chosen at random). That study found no difference in cholesterol levels when the subjects took the supplement versus the placebo.

The McGill study is a completely randomized experiment, while the British study is a matched pairs experiment.

The McGill study is a non randomized experiment, while the British study is a matched pairs experiment.

The results from the McGill study are more valid because it includes blinding while the British study does not.

We have reason to believe that the design of one of these experiments was flawed since the results are contradictory.

Conclusions from the British study can not be trusted since there is no control group.

Statistics teachers often debate the best order in which to teach topics. One group of teachers likes to teach design of studies first. Another group likes to begin with data analysis. To see which order is more effective in preparing students for the AP Exam, an experiment was proposed. A large group of teachers, each of whom teaches two sections of statistics, volunteered to be part of the experiment. Each teacher will randomly assign one of their classes to beign with design, and the other to begin with data analysis. Which is the correct description of this design?

The experimental units are the classrooms, the blocks are the teachers, and the response variable is the difference in average AP Exam score for each of the teacher's classes.

The experimental units are the teachers, there are no blocks, and the response variable is the average AP Exam score for each teacher.

The experimental units are the individual students, the blocks are the classrooms, and the response variable is each individual student's AP Exam score.

The experimental units are the individual students, the blocks are the teachers, and the response variable is the average AP Exam score for each classroom

The experimental units are the order of the topics, the blocks are the teachers, and the response variable is the average AP Exam score for all students who used each order of topics.

In a Japanese study, "researchers look at 35 people with lower back pain who were enrolled in an aquatic exercise program, which included swimming and walking in a pool. Almost all of the patients showed improvements after six months, but the researchers found that those who participated at least twice weekly showed more significant improvement than those who went only once per week."

Conclusions based on this observational study are suspect since participation in the aquatic program may be confounded with other lifestyle behaviors that may cause the improvement in lower back health.

This experiment proves that swimming causes a reduction in lower back pain.

The study is a poorly designed experiment since there is no control group and there is no randomization.

Conclusions based on this observational study are suspect since a sample size of 35 is too small.

The study is not an observational study since the aquatic program is a treatment.

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.

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

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 the entire class.

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

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

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 assume causation.

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

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

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

Researchers performed random selection and random assignment.

Bad experiment, the results only represent the sample

Bad observational study, the results only represent the sample

Researchers performed random selection but not random assignment.

Great observational study, but you can't show causation.

Bad experiment, the results only represent the sample

Bad observational study, the results only represent the sample

AP Statistics - Chapter 4 - Experimental Design

10th - 12th Grade

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30 Qs

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AP Statistics - Chapter 4 - Experimental Design

Quiz

•

Mathematics

•

10th - 12th Grade

•

Practice Problem

•

Medium

•

CCSS

HSS.IC.B.3, HSS.IC.A.1, 7.SP.A.1

Standards-aligned

Amy Whitehead

Used 114+ times

FREE Resource

About this resource

This quiz comprehensively covers experimental design and sampling methods for AP Statistics students in grades 11-12. The questions assess fundamental concepts including random sampling techniques (simple random, stratified, cluster, systematic, and convenience sampling), experimental design principles (control groups, randomization, blocking, and confounding variables), and the critical distinction between observational studies and experiments. Students need to understand sampling bias types such as response bias, undercoverage, and voluntary response bias, while also recognizing how proper randomization enables causal inference. The material requires students to analyze complex scenarios involving multi-factor experiments, matched-pairs designs, and study validity, demanding higher-order thinking skills to evaluate research methodologies and identify design flaws that could compromise conclusions. Created by Amy Whitehead, a Mathematics teacher in US who teaches grade 10-12. This quiz serves as an excellent tool for AP Statistics instruction, particularly suited for formative assessment and review of Chapter 4 content on experimental design. Teachers can use this as a comprehensive warm-up activity to gauge student understanding before moving to more complex statistical inference topics, or as homework to reinforce classroom discussions about proper study design. The varied question formats make it ideal for practice sessions where students need to distinguish between different sampling methods and identify experimental design elements. This assessment aligns with AP Statistics standards covering data collection methods (AP STATS-DAT-1, DAT-2, DAT-3) and helps students develop the critical thinking skills necessary for evaluating statistical studies they'll encounter on the AP exam and in real-world applications.

30 questions

Show all answers

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

_________ is a sample in which each individual or object in the entire population has an equal chance of being selected.

Sample

Population

Random Sample

Quartile

Tags

CCSS.7.SP.A.1

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Kim surveys 100 moviegoers that entered the movie theater in the first hour. What type of sampling method is this?

Random

Convenience

Biased

Tags

CCSS.HSS.IC.B.3

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

A controlled study in which the researcher attempts to understand cause-and-effect relationships by assigning subjects to groups and deciding which treatments each group receives

survey

observational study

experiment

Tags

CCSS.HSS.IC.B.3

CCSS.HSS.IC.B.5

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

A large company wants to conduct a survey to determine the proportion of its male employees who practice yoga on a daily basis. Two of its regional offices are chosen at random and all of the male employees at each office are surveyed. The plan is an example of which type of sampling?

Cluster

Convenience

Simple random

Stratified random

Systematic

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Which of the following is a key distinction between well designed experiments and observational studies?

More subjects are available for experiments than for observational studies.

Ethical constraints prevent large-scale observational studies.

Experiments are less costly to conduct than observational studies.

An experiment can show a direct cause-and-effect relationship, whereas an observational study cannot.

Tests of significance cannot be used on data collected from an observational study.

Tags

CCSS.HSS.IC.B.3

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

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.

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.3

CCSS.HSS.IC.B.4

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.3

CCSS.HSS.IC.B.4

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