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Chapter 4 Test MCQ Portion

Authored by David Stubblefield

Mathematics

10th - 12th Grade

Used 54+ times

Chapter 4 Test MCQ Portion
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This quiz covers experimental design and sampling methods in statistics, specifically focusing on the fundamental concepts taught in Advanced Placement (AP) Statistics at the high school level (grades 11-12). Students must demonstrate mastery of distinguishing between observational studies and experiments, identifying different sampling techniques (simple random, stratified, cluster, convenience, and voluntary response), understanding experimental design components (explanatory variables, treatments, experimental units), and recognizing various types of bias in data collection. The core reasoning skills required include analyzing study descriptions to classify research methods, determining appropriate conclusions based on study design, calculating sample selection using random number tables, and evaluating the scope of generalization for survey results. Students need a solid foundation in statistical vocabulary and the ability to critically assess the validity and limitations of different research approaches. Created by David Stubblefield, a Mathematics teacher in the US who teaches grades 10 and 12. This assessment serves as an excellent tool for evaluating student comprehension of foundational statistical concepts before advancing to more complex inferential procedures. The quiz works particularly well as a chapter test following instruction on data collection methods, providing comprehensive coverage that allows teachers to identify specific areas where students may need additional support. It can be effectively used as a summative assessment after completing units on experimental design and sampling, or adapted for review sessions before AP Statistics exams. The questions align with Common Core State Standards for Statistics and Probability (S-IC.3, S-IC.6) and AP Statistics Learning Objectives covering data collection principles, experimental design evaluation, and the relationship between study design and appropriate conclusions.

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12 questions

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1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Researchers in Canada performed an experiment with university students to examine the effects of in-class laptop use on student learning. All volunteers in the study were asked to attend a university style lecture and take notes with their laptops. Half of the participants were assigned to complete other non-lecture related online tasks during the lecture. These tasks were meant to imitate typical student Web browsing during classes. The remaining students simply took notes with their laptops. To assign the treatments, the researchers printed 40 papers with instructions (20 with multitasking and 20 without), shuffled them, and handed them out at random to students in the classroom. At the end of the lecture, all participants took a comprehension test to measure how much they learned from it. The results: students who were assigned to multitask did significantly worse than students who were not assigned to multitask.


Which of the following lists the number of explanatory variables, number of treatments, and number of experimental units (in this order)?

1, 2, 40

2, 4, 40

1, 2, 20

2, 4, 20

2, 2, 40

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Researchers in Canada performed an experiment with university students to examine the effects of in-class laptop use on student learning. All volunteers in the study were asked to attend a university style lecture and take notes with their laptops. Half of the participants were assigned to complete other non-lecture related online tasks during the lecture. These tasks were meant to imitate typical student Web browsing during classes. The remaining students simply took notes with their laptops. To assign the treatments, the researchers printed 40 papers with instructions (20 with multitasking and 20 without), shuffled them, and handed them out at random to students in the classroom. At the end of the lecture, all participants took a comprehension test to measure how much they learned from it. The results: students who were assigned to multitask did significantly worse than students who were not assigned to multitask.

Based on the design of the study, which of the following is the most appropriate conclusion?

Multitasking causes learning to be hindered for all students in this study.

Multitasking causes learning to be hindered for all students at this university.

There is not enough information to make any conclusions based on this study.

There is an association between multitasking and learning for all students at this university.

There is an association between multitasking and learning for all students in this study.

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Researchers want to investigate if students retain more information if it printed on blue paper rather than white paper. They recruit 100 elementary students, 100 middle school students, and 100 high school students to participate. The researchers then randomly assigned half of the elementary students, half of the middle school students, and half of the high school students to receive the information on blue paper. The remaining students receive the same information on white paper. Which of the following best describes this experimental design?

Completely randomized design

Block design with grade of student as the blocks

Block design with color of paper as the blocks

Stratified design with grade of student as the blocks

Stratified design with color of paper as the blocks

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

In a large population of books, 43% have red covers. Sally chooses an SRS of 100 books and finds that only 39 are red. Which of the following best describes why Sally didn’t get exactly 43 red books?

Sally’s sampling method must have resulted in nonresponse bias.

Sally’s sampling method must have resulted in response bias.

Sally’s sample size was too small.

Sally’s sample size was too large.

Different samples from the same population will give different results.

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

During assemblies at a particular high school, the gym is divided into four sections. Students sit in one of four sections according to their class (freshman, sophomore, junior, senior). In each section, there are many rows where students sit. To estimate the proportion of students who enjoyed the assembly, members of student government randomly select 5 rows in the gym and survey each student in the selected rows. Which sampling method did the students use?

Convenience sample

Voluntary response sample

Simple random sample

Stratified random sample

Cluster sample

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

A teacher wants to use a table of random digits to select a simple random sample of 3 unique students (without replacement) from a class of 38 students. Each student is numbered from 01 to 38. Using the random digits below, which students are included in the sample?

17835 84235 77413 50329 54889 15810 99573

01, 07, 08

17, 35, 03

17, 83, 58

17, 35, 35

17, 84, 77

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

An apartment complex is made up of 10 buildings with 12 apartments in each building. The manager wants to select a sample of apartments to gauge interest in a proposed improvements to the swimming pool. If the manager selects 20 apartments by randomly selecting 2 apartments from each building, what kind of sample did the manager obtain?

Convenience sample

Voluntary response sample

Simple random sample

Stratified random sample

Cluster sample

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