Which question is biased ?

Do you prefer Taylor Swift or the scandalous Miley Cyrus?

Do you prefer flip flops or sandals?

Should we be required to wear school uniforms?

Do you think a Wal-Mart should be built in town?

The Women's Health Study randomly assigned nearly 40,000 women over the age of 45 to receive either aspirin or a placebo for over 10 years to examine the effect of aspirin on cancer risk to healthy women. This long-term trial was best conducted as:

a double-blind randomized comparative experiment.

a randomized comparative experiment.

a single-blind randomized comparative experiment.

In the previous problem, supposed that the researchers suspected that women over the age of 55 may respond differently to the treatment. Given that a random sample of 40,000 women over the age of 45 has already been chosen, the study would have been improved by:

a block design, with blocks determined by age.

a stratified sample, with strata determined by age.

a stratified sample, with strata determined by gender.

a block design, with blocks determined by gender.

a double-blind completely randomized design.

Left-handedness is the preference for the left hand over the right for everyday activities such as writing. Studies indicate that about 93% of the population may be characterized as right-handed. Researchers would like to conduct a study to determine if left-handed teens differ significantly in their ability to memorize facts than right-handed teens. A random-number table is used to simulate the number of teens selected before a left-handed teen is found. A proper assignment of digits is:

let the digits 00-06 represent a left-handed teen and 07-99 represent a right-handed teen; count repeats of numbers 07-99 and continue until you get a number from 00-06.

let the digits 0-6 represent a left-handed teen and 7-99 represent a right-handed teen; ignore repeats of numbers 7-99 until you get a number from 0-6.

let the digits 0-6 represent a left-handed teen and 7-99 represent a right-handed teen; count repeats of number 7-99 and continue until you get a number from 0-6.

let the digits 00-06 represent a left-handed teen and 07-99 represent a right-handed teen; ignore repeats of numbers 07-99 until you get a number from 00-06.

let the digits 01-07 represent a left-handed teen and 08-100 represent a right-handed teen; count repeats of numbers 08-100 and continue until you get a number from 01-07.

Pollsters are interested in conducting a survey to determine if students who belonged to an online social network during college continued with it after graduation. They plan to randomly select 50 people from a list of registered voters. A problem with the proposed plan is that the:

sampling frame may be different from the population of interest.

sample is a systematic random sample.

sample was not stratified by political party.

sampling design should incorporate multistage sampling.

The purpose of randomization in an experiment is to:

make the treatment groups as similar as possible.

make the treatment groups as different as possible.

create the blocks in an experiment.

reduce variability within treatment groups.

an inactive "look-alike" meant to seem real

a rare type of African bird indigenous to the foothills of Morocco

the change in symptoms as a result of an inactive "look-alike"

What is the placebo effect?

When someone believes a medication works but the medication was not medicated.

Something that affects the neurological pathways causing people to do nonsensical things.

A dangerous experiment that can harm the person that is experimented.

A disease that effects the brain, worse than meningitis

Identify the explanatory variable in this scenario: The weeds in my garden are 2 inches taller today after the heavy rain we received last night.

Neither "height of weeds" or "amount of rain"

Could be "height of weeds" or "amount of rain"

Identify the response variable in this scenario: The weeds in my garden are 2 inches taller today after the heavy rain we received last night.

Neither "height of weeds" or "amount of rain"

Could be "height of weeds" or "amount of rain"

Identify the response variable in this scenario: A recent study compared the average number of hours of sleep each night each person reported as well as the number of cups of coffee they consumed that day.

Neither "Hours of sleep" or "Number of cups of coffee"

Could be "Hours of sleep" or "Number of cups of coffee"

Identify the explanatory variable in this scenario: A recent study compared the average number of hours of sleep each night each person reported as well as the number of cups of coffee they consumed that day.

Neither "Hours of sleep" or "Number of cups of coffee"

Could be "Hours of sleep" or "Number of cups of coffee"

In an experiment the ___group gets ___.

control, the independent variable

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

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.

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.

Experimental Design AP Stat

Authored by Molly Strickland

Mathematics

11th - 12th Grade

CCSS covered

Used 117+ times

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About

This quiz focuses on experimental design within AP Statistics, targeting 11th and 12th grade students enrolled in an advanced placement statistics course. The questions comprehensively assess students' understanding of fundamental experimental concepts including the distinction between independent and dependent variables, the difference between observational studies and controlled experiments, principles of randomization and control groups, and the proper use of placebos in experimental design. Students must demonstrate mastery of identifying explanatory and response variables in real-world scenarios, understanding bias in survey questions, recognizing the importance of blinding techniques, and applying proper sampling methods including stratified sampling and block designs. The complexity of the scenarios, particularly those involving multi-stage experimental designs and statistical simulations using random number tables, requires sophisticated analytical thinking and the ability to apply theoretical concepts to practical research situations. Created by Molly Strickland, a Mathematics teacher in US who teaches grade 11, 12. This quiz serves as an excellent formative assessment tool for AP Statistics students preparing for their comprehensive examination in experimental design. Teachers can deploy this assessment as a chapter review following instruction on data collection methods, as homework to reinforce key concepts, or as a warm-up activity to gauge student readiness before advancing to more complex statistical analyses. The varied question formats and real-world applications make it particularly valuable for identifying specific areas where students need additional support, whether in distinguishing between types of studies, understanding control mechanisms, or properly designing sampling procedures. This assessment aligns with AP Statistics standards covering data collection methods, experimental design principles, and statistical reasoning, providing comprehensive coverage of the experimental design unit that forms a critical foundation for advanced statistical inference.

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Student View

25 questions

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The type of variable that responds to the experiment and is what you measure to determine if your hypothesis is true.

Independent

Dependent

Control

Tags

CCSS.HSS.IC.B.5

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If I water the plant more often, then it will grow taller. Name the independent variable.

The height of the plant

The size of the pot

The amount of water

The amount of light.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If I water the plant more often, then it will grow taller. Name the dependent variable.

The amount of water.

The amount of soil.

The height of the plant.

The amount of water.

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Changeable elements of an experiment which can affect the outcome of the experiment if not carefully controlled are called:

placebos

variables

quantitative elements

control groups

Tags

CCSS.HSS.IC.B.5

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

An Advanced Algebra teacher gives out a study guide before the test. The teacher lists the students who completed their study guide and compares their scores to the remaining Advanced Algebra students’ scores.

Observational Study

Experimental Study

Tags

CCSS.HSS.IC.B.3

CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.3

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

To determine whether sugar affects an athlete’s performance at practice, Coach Barron gave half the team doughnuts for breakfast and the other half whole grain cereal. He compared the two groups in terms of endurance and energy. This is an example of:

Observational Study

Experimental Study

Tags

CCSS.HSS.IC.B.3

CCSS.HSS.IC.B.5

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Which of the following questions is unbiased?

Have you tried those nasty new flavors of Lays potato chips?

Do you think the government should be able to spy on all of your private text messages?

What was the score of the football game last Friday?

Do you think our awesome principal is a great leader for our school?

Tags

CCSS.RI.1.1

CCSS.RI.2.1

CCSS.RI.3.1

CCSS.RL.2.1

CCSS.RL.3.1

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Experimental Design AP Stat

The type of variable that responds to the experiment and is what you measure to determine if your hypothesis is true.

If I water the plant more often, then it will grow taller. Name the independent variable.

If I water the plant more often, then it will grow taller. Name the dependent variable.

Changeable elements of an experiment which can affect the outcome of the experiment if not carefully controlled are called:

An Advanced Algebra teacher gives out a study guide before the test. The teacher lists the students who completed their study guide and compares their scores to the remaining Advanced Algebra students’ scores.

To determine whether sugar affects an athlete’s performance at practice, Coach Barron gave half the team doughnuts for breakfast and the other half whole grain cereal. He compared the two groups in terms of endurance and energy. This is an example of:

Which of the following questions is unbiased?

Which question is biased?

The Women's Health Study randomly assigned nearly 40,000 women over the age of 45 to receive either aspirin or a placebo for over 10 years to examine the effect of aspirin on cancer risk to healthy women. This long-term trial was best conducted as:

In the previous problem, supposed that the researchers suspected that women over the age of 55 may respond differently to the treatment. Given that a random sample of 40,000 women over the age of 45 has already been chosen, the study would have been improved by:

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