Post on 26-Jan-2022
AP STATISTICS 2017 – 2018 NAME:____________________________ P: ____
AP EXAM PRACTICE PROBLEMS
DIRECTIONS
• For all Multiple Choice questions, you must either show work OR write a BRIEF 1-sentence explanation as to why your selected answer is correct. Simply circling an answer will not earn you credit!
• For all Free Response problems, do NOT RELY ON THE ANSWER KEYS before you have done everything in your power to complete the problem to the best of your ability. Peeking at the answer key without being given explicit instruction is academically dishonest and will NOT be tolerated.
• NOTE: The answers to these free response problems are available online. Which means…if I catch you copying answers without actually working through the problem, you will not get credit.
You are an AP Student – Act like it. The internet won’t save you on the AP Exam. • If you need help, don’t be afraid to ask. You have the ability to receive help during tutorial, lunch, and
before/after school by appointment. You are responsible for showing up and accountable for your own learning.
Table of Contents
Formula Sheet, Z Table, and T Table
Topic 1: Sampling Techniques and Sources of Bias
Topic 2: Experimental Design
Topic 3: Analyzing Data
Topic 4: Normal Distributions and Z-Scores
Topic 5: Probability Rules
Topic 6: Probability Distributions
Topic 7: Binomial and Geometric Distributions
Topic 8: Sampling Distributions
Topic 9: Confidence Intervals
Topic 10: Significance Tests
Topic 11: Chi-Squared Tests and Types of Error
Topic 12: Bivariate Data
Topic 13: Confidence Intervals and Significance Tests with Bivariate Data
You will be given time in class to work on the problems and you will be expected to also work on certain problems at home in addition to the white study guide and other AP practice questions provided *
WORK HARD, BE ACCOUNTABLE FOR YOUR LEARNING, & ASK QUESTIONS! YOU GOT THIS! J
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Topic 1: Sampling Techniques and Sources of Bias
For all Multiple Choice questions, you must either show work OR write a BRIEF 1-sentence explanation as to why your selected answer is correct. Simply circling an answer will not earn you credit!
1.
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3.
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Topic 2: Experimental Design
For all Multiple Choice questions, you must either show work OR write a BRIEF 1-sentence explanation as to why your selected answer is correct. Simply circling an answer will not earn you credit!
1.
2.
3. Automobilebrakepadsareeithermetallicornonmetallic.Anexperimentistobeconductedtodeterminewhetherthestoppingdistanceisthesameforbothtypesofbrakepads.Inpreviousstudies,itwasdeterminedthatcarsize(small,medium,large)isassociatedwithstoppingdistance,butcartype(sedan,wagon,coupe)isnotassociatedwithstoppingdistance.Theexperimentwouldbebestdone
(A) byblockingoncarsize(B) byblockingoncartype(C) byblockingonstoppingdistance(D) byblockingonbrakepadtype(E) withoutblocking
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Topic 3: Analyzing Data
For all Multiple Choice questions, you must either show work OR write a BRIEF 1-sentence explanation as to why your selected answer is correct. Simply circling an answer will not earn you credit!
2.
3.
(A) 2.50 (B) 7.25 (C) 12.25 (D) 15.00 (E) 17.50
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Topic 4: Normal Distributions and Z-Scores
For all Multiple Choice questions, you must either show work OR write a BRIEF 1-sentence explanation as to why your selected answer is correct. Simply circling an answer will not earn you credit!
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4. LetXrepresentarandomvariablewhosedistributionisnormal,withameanof100andastandarddeviationof10.WhichofthefollowingisequivalenttoP(X>115)?
(A) P(X<115) (B)P(X≤115) (C)P(X<85) (D)P(85<X<115) (E)1−P(X<85)
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FREE RESPONSE (2011 Exam, #1)
A professional sports team evaluates potential players for a certain position based on two main characteristics, speed and strength.
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Topic 5: Probability Rules
For all Multiple Choice questions, you must either show work OR write a BRIEF 1-sentence explanation as to why your selected answer is correct. Simply circling an answer will not earn you credit!
1.
2.
3. .
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Topic 6: Probability Distributions
For all Multiple Choice questions, you must either show work OR write a BRIEF 1-sentence explanation as to why your selected answer is correct. Simply circling an answer will not earn you credit!
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3.
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4. A random variable X has a mean of 130 and a standard deviation of 15. A random variable Y has a mean of 120 and a standard deviation of 9. If X and Y are independent, approximately what is the standard deviation of X – Y?
(A) 24.0
(B) 17.5
(C) 12.0
(D) 6.0
(E) 4.9
FREE RESPONSE (2013 Exam, #3)
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Topic 8: Sampling Distributions
For all Multiple Choice questions, you must either show work OR write a BRIEF 1-sentence explanation as to why your selected answer is correct. Simply circling an answer will not earn you credit!
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3.
Thegraphsofthesamplingdistributions,IandII,ofthesamplemeanofthesamerandomvariableforsamplesoftwodifferentsizesareshownbelow.Whichofthefollowingstatementsmustbetrueaboutthesamplesizes?
(A) ThesamplesizeofIislessthanthesamplesizeofII.
(B) ThesamplesizeofIisgreaterthanthesamplesizeofII.
(C) ThesamplesizeofIisequaltothesamplesizeofII.
(D) Thesamplesizedoesnotaffectthesamplingdistribution.
(E) Thesamplesizescannotbecomparedbasedonthesegraphs.
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Topic 9: Confidence Intervals
For all Multiple Choice questions, you must either show work OR write a BRIEF 1-sentence explanation as to why your selected answer is correct. Simply circling an answer will not earn you credit! 1.
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3.
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Topic 10: Significance Tests
For all Multiple Choice questions, you must either show work OR write a BRIEF 1-sentence explanation as to why your selected answer is correct. Simply circling an answer will not earn you credit!
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2.
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Topic 11: Chi-Squared Tests and Types of Error
For all Multiple Choice questions, you must either show work OR write a BRIEF 1-sentence explanation as to why your selected answer is correct. Simply circling an answer will not earn you credit!
1.
2.
(A) 8 (B) 9 (C) 10 (D) 11 (E) 13
3.Anindependentresearchfirmconductedastudyof100randomlyselectedchildrenwhowereparticipatinginaprogramadvertisedtoimprovemathematicsskills.Theresultsshowednostatisticallysignificantimprovementinmathematicsskills,usingα=0.05.Theprogramsponsorscomplainedthatthestudyhadinsufficientstatisticalpower.Assumingthattheprogramiseffective,whichofthefollowingwouldbeanappropriatemethodforincreasingpowerinthiscontext.(A) Useatwo-sidedtestinsteadofaone-sidedtest.(B) Useaone-sidedtestinsteadofatwo-sidedtest.(C) Useα=0.01insteadofα=0.05.(D) Decreasethesamplesizeto50children.(E) Increasethesamplesizeto200children.
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Topic 12: Bivariate Data
For all Multiple Choice questions, you must either show work OR write a BRIEF 1-sentence explanation as to why your selected answer is correct. Simply circling an answer will not earn you credit!
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3. Twovariables,xandy,weremeasuredforarandomsampleof25subjects,andtwoseparateregressionmodelswerefittothedata.LeastsquaresestimationoftheparametersinModelAyieldedthefollowingequationandresidualplot.
LeastsquaresestimationoftheparametersinModelByieldedthefollowingequationandresidualplot.Whichofthefollowingconclusionsiscorrect?
(A) ModelAisappropriate,sincetherelationshipbetweenxandyislinear.(B) ModelBisappropriate,sincetherelationshipbetweenxandyislinear.(C) ModelAisappropriate,sincetherelationshipbetweenlogxandlogyislinear.(D) ModelAisappropriate,sincetherelationshipbetweenlogxandyislinear.(E) ModelBisappropriate,sincetherelationshipbetweenxandlogyislinear.
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Topic 13: Confidence Intervals and Significance Tests with Bivariate Data
For all Multiple Choice questions, you must either show work OR write a BRIEF 1-sentence explanation as to why your selected answer is correct. Simply circling an answer will not earn you credit!
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