AP Statistics Exam Questions -- Free-Response Questions ...
AP Statistics Exam Questions -- Free-Response Questions for 1997 to 2008 | |
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|[pic] |[pi| | |
| |c] |Question | |
|[pic] | |1997 | |
| | |1998 | |
|[pic] | |1999 | |
| | |2000 | |
|[pic] | | | |
| | |1 | |
| | |1900 vs. 2000 population | |
| | |Cumulative distribution (ogives), medians, IQR Comparing distributions | |
| | |CLT means what? | |
| | |Sampling distribution of sample mean; CLT | |
| | |Lydia & Bob - air travel | |
| | |Linear regression; slope and y-intercept; residuals | |
| | |Drug A and Drug B | |
| | |Scatterplots; graphical interpretation | |
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| | |2 | |
| | |Fish tank | |
| | |Experimental design; blocking | |
| | |Defective items | |
| | |Scatterplot vs. histogram; graphical interpretation | |
| | |Lost hikers | |
| | |Chi-square test of association | |
| | |Cave & Footprints | |
| | |Assumptions for inference about means | |
| | | | |
| | |3 | |
| | |Drug testing | |
| | |Probability (tree); conditional probability | |
| | |Butterfly tagging | |
| | |Randomization; analyzing data | |
| | |Dentists and apples | |
| | |Observational study vs. experiment; confounding; establishing causation | |
| | |Male flexibility | |
| | |Constructing graphs for tabular data; graphical interpretation and comparison | |
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| | |4 | |
| | |Political candidate | |
| | |Two proportion inference; significance test (1-tailed) | |
| | |Weed killer | |
| | |Linear regression; Computer printout; residual plots | |
| | |Defective batteries | |
| | |Normal calculations; IQR; probability calculation | |
| | |Baby Walkers | |
| | |Two sample inference for means; two-tailed; causation? | |
| | | | |
| | |5 | |
| | |Oven chips | |
| | |matched pairs vs. two sample;Two-tailed procedure | |
| | |Graduate housing | |
| | |One proportion inference; significance test (1-tailed) | |
| | |Die A and Die B | |
| | |Probability; expected value | |
| | |Cholesterol | |
| | |Experimental design; blocking; double-blinding | |
| | | | |
| | |6 | |
| | |(Inv. Task) | |
| | |Auto depreciation | |
| | |Linear and nonlinear regression models; computer printouts | |
| | |Oysters and pearls | |
| | |Normal calculations; Simulation; expected value | |
| | |Guessing coin tosses | |
| | |One proportion inference; matched pairs; correlation | |
| | |Husband-and-Wife | |
| | |Normal calculations; diff of 2 rand var's; independence; the ellipse | |
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| | |Question | |
| | |2001 | |
| | |2002 | |
| | |2002 Form B | |
| | |2003 | |
| | |2003 Form B | |
| | | | |
| | |1 | |
| | |L. A. Rainfall | |
| | |Outliers, summary statistics, exploratory data analysis | |
| | |Einstein vs. Newton | |
| | |Graphical interpretation; interpreting CI's | |
| | |Swine & Ammonia | |
| | |Scatterplots, correlation, r-squared | |
| | |Accurate watches | |
| | |Parallel boxplots, graphical interpretation, choosing inference procedure | |
| | |Studying & work | |
| | |Computer regression output; influential points | |
| | | | |
| | |2 | |
| | |Copier Repairs | |
| | |Random variables & expected value | |
| | |Give me the boot! | |
| | |Matched pairs design; double blind | |
| | |Airline no-shows | |
| | |Expected value; probability; conditional probability | |
| | |Lawsuits | |
| | |One proportion hypothesis and parameter; Type I, II error | |
| | |Age & Income survey | |
| | |Tabular probability; conditional probability; independence | |
| | | | |
| | |3 | |
| | |Radio Giveaway | |
| | |Designing and performing a simulation | |
| | |Fast runners | |
| | |Normal calculation Combining r.v.'s - means & variances | |
| | |Magnet therapy | |
| | |Comparative, randomized expt; blocking | |
| | |Men's shirt sizes | |
| | |Normal distributions, binomial probability | |
| | |Vitamin C & flu | |
| | |Experiment vs. observational study; Choosing inference procedure | |
| | | | |
| | |4 | |
| | |Dwarf fruit trees | |
| | |Blocking & randomization | |
| | |Airline costs | |
| | |Linear regression; computer printout; correlation | |
| | |Social security | |
| | |One-proportion CI & Interpreting categorical data | |
| | |Tai chi and yoga | |
| | |Random assignment, control group, generalizability | |
| | |Coffee & cholesterol | |
| | |Random assignment; control group; choosing inference procedure; lurking variables | |
| | | | |
| | |5 | |
| | |Name brand vs. generic drugs | |
| | |Matched pairs t-procedures | |
| | |Owls & early birds | |
| | |Stating hypotheses; two-sample t-test | |
| | |Obstacle course | |
| | |Parallel boxplots; comparing center & variability | |
| | |Presidential survey | |
| | |Chi-square test of independence | |
| | |Skunk! | |
| | |Probability; expected value; chi-square goodness-of-fit test | |
| | | | |
| | |6 | |
| | |Predicting Ph.D. from GPA | |
| | |Comparative displays; inference for regression slope; LSRL and prediction | |
| | |S or F? | |
| | |One proportion CI; interpreting confidence; two proportion z-test or chi-square test | |
| | |Lab classes | |
| | |Two sample t-test Chi-square GOF test Bar graphs | |
| | |Shuttle bus! | |
| | |Graphical interpretation, one proportion CI, interpreting CIs, probability | |
| | |HMO study | |
| | |One-proportion CI; interpret 95% confident; adjusting MOE (determining sample size) | |
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| | |Question | |
| | |2004 | |
| | |2004 Form B | |
| | |2005 | |
| | |2005 Form B | |
| | | | |
| | |1 | |
| | |Gasoline additives | |
| | |Parallel boxplots, outliers; comparing proportions and means | |
| | |Craters on the moon | |
| | |Describe scatterplot; | |
| | |log transformation; | |
| | |residual plot; interpreting r2 | |
| | |Adolescent calories | |
| | |Back-to-back stemplot; interpreting graphs; generalizability; study design | |
| | |Exam scores | |
| | |Stemplot; describing graphs; mean vs. median; midrange | |
| | | | |
| | |2 | |
| | |New Shampoo | |
| | |Blocking by one/ two factors; | |
| | |Random assign. of treatments | |
| | |Dining hall food | |
| | |Bias of sampling method; bias of question wording | |
| | |Telephone lines | |
| | |Expected value of r.v.; sampling distr. of sample mean; mean vs. median; shape | |
| | |Concert tickets | |
| | |Mean and std. dev of r.v.; Combining r.v.'s - mean and std. dev | |
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| | |3 | |
| | |Brontosaur bones | |
| | |Binomial conditions; conditional probability; generalizability; | |
| | |interpreting probability | |
| | |Trains filled with ore | |
| | |Normal calculation; probability interpretation; Sampling distr of sample mean | |
| | |Train fuel consumption | |
| | |Appropriateness of linear model; predicting with LSRL; interpreting r2; extrapolation | |
| | |Mosquito repellent | |
| | |Completely randomized design; matched pairs design; randomization method | |
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| | |4 | |
| | |Antibiotics for ear infections | |
| | |Probability (tree diagram), expected value; interpretation | |
| | |Homework in middle school | |
| | |Two-sample t interval; matched pairs vs. two samples | |
| | |Cereal box vouchers | |
| | |One-proportion z test (one-sided) | |
| | |Tomato seeds | |
| | |Matched-pairs t interval; performing significance test using CI | |
| | | | |
| | |5 | |
| | |Satisfaction with hospital | |
| | |Chi-square test of assoc/indep; generalizability | |
| | |Thai dogs and golden jackals | |
| | |Parallel boxplots; | |
| | |Conditions for one-sample t; Conditions for 2-sample t | |
| | |Educational level survey | |
| | |Survey bias and effect; determining sample size; stratified sampling | |
| | |Walking speed & pulse | |
| | |Regression output; interpreting slope and intercept; CI for slope | |
| | | | |
| | |6 | |
| | |(Inv. Task) | |
| | |New cholesterol drug | |
| | |One-sample t interval; | |
| | |CI vs significance test; | |
| | |one-sided CI; interpretation | |
| | |Banded birds | |
| | |Two-proportion z test or chi-square test of homogeneity; capture-recapture; assumptions | |
| | |Get the lead out! | |
| | |Two-sample t interval; interaction effects | |
| | |Not enough milk? | |
| | |One-sample t test; normal calculation; sampling distr. of sample mean; simulation | |
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| | |Question | |
| | |2006 | |
| | |2006 Form B | |
| | |2007 | |
| | |2007 Form B | |
| | | | |
| | |1 | |
| | |Comparing Catapults | |
| | |Parallel dotplots; comparing shape, center, and spread; interpreting center, variability | |
| | |Real estate agents | |
| | |Interpreting a cumulative relative frequency graph | |
| | |Preserving strawberries | |
| | |Interpret standard deviation; interpreting comparative dotplot; interpreting two-sample t interval | |
| | |Kids not learning econ | |
| | |Constructing a stemplot; describing distributions: shape, center, spread, outliers | |
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| | |2 | |
| | |Suds | |
| | |Computer output; equation of LSRL; interpreting s; interpreting SEb | |
| | |Day shift vs. night shift | |
| | |96% CI for p1-p2 ; connecting CI to significance test | |
| | |Aging dogs | |
| | |Purpose of control group; describing random assignment; blocking | |
| | |How many dogs and cats? | |
| | |Random variables & probability; | |
| | |binomial probability; sampling distribution of sample mean | |
| | | | |
| | |3 | |
| | |Deep beneath the Earth | |
| | |Normal calculations; probability calculation; calculation involving sampling distribution of sample mean | |
| | |Golf balls & Iron Byron | |
| | |Normal calculations; probability calculation; inverse normal calculation | |
| | |Big Town Fisheries | |
| | |Sampling distribution of sample mean; Normal probability calc.; central limit theorem | |
| | |Energy efficient windows | |
| | |Blocking; implementing random assignment | |
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| | |4 | |
| | |Ambulance or drive yourself | |
| | |Two-sample t CI; connecting CI to significance test | |
| | |Improving dexterity | |
| | |Paired t test | |
| | |E. coli in beef | |
| | |Paired t procedures: | |
| | |two-tailed test or CI | |
| | |Women’s & Father’s heights | |
| | |Plotting the LSRL; determining a residual; influence of a point on slope and correlation | |
| | | | |
| | |5 | |
| | |Tiger shrimps | |
| | |Two-factor experiment; treatments; completely randomized design; reducing variability; generalizability | |
| | |Plowing the fields | |
| | |Response variable; treatments; experimental units; randomization; replication; confounding | |
| | |Distracted driving | |
| | |Experiment vs. obs. study; stating hypotheses; | |
| | |verifying conditions; interpreting P-value | |
| | |Lowering serum cholesterol | |
| | |Two-sample t test | |
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| | |6 | |
| | |(Inv. Task) | |
| | |Thermostats | |
| | |Significance test about σ2: stating hypotheses; calculating test statistic and P-value; drawing conclusions; simulated | |
| | |sampling distributions | |
| | |Sunshine Farms Juice | |
| | |Stating hypotheses; conditions for one-proportion z test; binomial probability; significance level; carrying out | |
| | |binomial test; increasing power | |
| | |Judging distances | |
| | |Interpreting slope; implication of y-intercept in model; significance test of H0: ß=1 interpreting the effect of adding| |
| | |an indicator variable to linear model | |
| | |Preserving bird species | |
| | |Two-proportion z test; CI for regression slope; transformation using logs; examining independence; making decisions | |
| | |based on predictions | |
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| | | | |
| | |Question | |
| | |2008 | |
| | |2008 Form B | |
| | | | |
| | |1 | |
| | |Sugary cereal | |
| | |Parallel boxplots; comparing shape, center, and spread; changing units of measurement; mean vs. median | |
| | |Student-teacher ratio | |
| | |Construct and interpret dotplots; comparing distributions; why inference isn't appropriate | |
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| | |2 | |
| | |School board surveyNonresponse bias; larger samples not always better | |
| | |Nonresponse bias; larger samples not always better | |
| | |Good estimators | |
| | |Unbiased estimators; | |
| | |what makes an estimator good? | |
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| | |3 | |
| | |Arcade game | |
| | |Mean of discrete r.v.; probability rules: addition, multiplication, complement | |
| | |Braking distance | |
| | |Determining sample size for specified margin of error; interpreting consequences | |
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| | |4 | |
| | |Temperature and reliability | |
| | |Making and interpreting scatterplot; standard error of estimate | |
| | |Music and blood pressure | |
| | |Completely randomized design; Type I and II errors and consequences | |
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| | |5 | |
| | |Moose | |
| | |Chi-square test for goodness of fit; contributions of individual cells | |
| | |Snake gulch railroad | |
| | |Combining normal random variables; | |
| | |calculating normal probabilities and | |
| | |inverse normal values | |
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| | |6 | |
| | |(Inv. Task) | |
| | |Magnet schools | |
| | |Two-sample t test; computer output; interpreting slope of LSRL in context; test for correlation/slope of LSRL | |
| | |Morton's neuroma | |
| | |Interpreting scatterplots; Paired t test; Developing diagnostic criteria | |
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