AP Statistics - Chapter 4 - Experimental Design
Authored by Amy Whitehead
Mathematics
10th - 12th Grade
CCSS covered
Used 115+ times
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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.
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30 questions
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1.
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.
Tags
CCSS.7.SP.A.1
2.
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?
Tags
CCSS.HSS.IC.B.3
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
4.
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
5.
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
6.
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.B.3
CCSS.HSS.IC.A.1
CCSS.HSS.IC.B.4
7.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
a
b
c
d
e
Tags
CCSS.HSS.IC.B.3
CCSS.HSS.IC.A.1
CCSS.HSS.IC.B.4
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