AP Statistics Practice Problems

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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Formula Sheet (Relevant Parts)

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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!

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FREE RESPONSE (2010 Exam, Form B, #2)

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Topic 2: Experimental Design


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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


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(A) 2.50 (B) 7.25 (C) 12.25 (D) 15.00 (E) 17.50

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Continued on Next Page

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Topic 4: Normal Distributions and Z-Scores


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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


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Topic 6: Probability Distributions


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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


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Topic 7: Binomial and Geometric Distributions


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Topic 8: Sampling Distributions


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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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FREE RESPONSE #1 (2011 Exam, Form B, #5)

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FREE RESPONSE #2 (2009 Exam, #4)

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Topic 10: Significance Tests


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FREEE RESPONSE #1 (2012 Exam, #4)

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Write your answer on the following page

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Topic 11: Chi-Squared Tests and Types of Error


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(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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Use space on next page if needed

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FREE RESPONSE #2 (2011 Exam, Form B, #4)

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Topic 12: Bivariate Data


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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


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AP Statistics Practice Problems

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