AP STATISTICS

AP EXAM

PRACTICE PROBLEMSDIRECTIONS

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!

This packet will be worth 5 points for each Topic!

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

Formula Sheet (Relevant Parts)

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)

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!

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3. Automobile brake pads are either metallic or nonmetallic. An experiment is to be conducted to determine whether the stopping distance is the same for both types of brake pads. In previous studies, it was determined that car size (small, medium, large) is associated with stopping distance, but car type (sedan, wagon, coupe) is not associated with stopping distance. The experiment would be best done

(A) by blocking on car size

(B) by blocking on car type

(C) by blocking on stopping distance

(D) by blocking on brake pad type

(E) without blocking

FREE RESPONSE (2006 Exam, Form B, #5)

Topic 3: Analyzing Data

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

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

Continued on Next Page

Topic 4: Normal Distributions and Z-Scores

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4. Let X represent a random variable whose distribution is normal, with a mean of 100 and a standard deviation of 10. Which of the following is equivalent to P(X > 115)?

(A) P(X < 115) (B) P(X 115) (C) P(X < 85) (D) P(85 < X < 115) (E) 1 P(X < 85)

FREE RESPONSE (2011 Exam, #1)

A professional sports team evaluates potential players for a certain position based on two main characteristics, speed and strength.

Topic 5: Probability Rules

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FREE RESPONSE (2015 Exam, #3)

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

FREE RESPONSE (2013 Exam, #3)

Topic 7: Binomial and Geometric Distributions

FREE RESPONSE (2011 Exam, Form B, #3)

Topic 8: Sampling Distributions

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The graphs of the sampling distributions, I and II, of the sample mean of the same random variable for samples of two different sizes are shown below. Which of the following statements must be true about the sample sizes?

(A) The sample size of I is less than the sample size of II.

(B) The sample size of I is greater than the sample size of II.

(C) The sample size of I is equal to the sample size of II.

(D) The sample size does not affect the sampling distribution.

(E) The sample sizes cannot be compared based on these graphs.

FREE RESPONSE (2014 Exam, #3)

Topic 9: Confidence Intervals

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

FREE RESPONSE #2 (2009 Exam, #4)

Topic 10: Significance Tests

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FREEE RESPONSE #1 (2012 Exam, #4)

FREE RESPONSE #2 (2014 Exam, #5)

Write your answer on the following page

Topic 11: Chi-Squared Tests and Types of Error

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(A) 8 (B) 9 (C) 10 (D) 11 (E) 13

3. An independent research firm conducted a study of 100 randomly selected children who were participating in a program advertised to improve mathematics skills. The results showed no statistically significant improvement in mathematics skills, using = 0.05. The program sponsors complained that the study had insufficient statistical power. Assuming that the program is effective, which of the following would be an appropriate method for increasing power in this context.

(A) Use a two-sided test instead of a one-sided test.(B) Use a one-sided test instead of a two-sided test.(C) Use = 0.01 instead of = 0.05.(D) Decrease the sample size to 50 children.(E) Increase the sample size to 200 children.

FREE RESPONSE #1 (2008 Exam, #5)

Use space on next page if needed

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

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. Two variables, x and y, were measured for a random sample of 25 subjects, and two separate regression models were fit to the data. Least squares estimation of the parameters in Model A yielded the following equation and residual plot.

Least squares estimation of the parameters in Model B yielded the following equation and residual plot.

Which of the following conclusions is correct?

(A) Model A is appropriate, since the relationship between x and y is linear.(B) Model B is appropriate, since the relationship between x and y is linear.(C) Model A is appropriate, since the relationship between log x and log y is linear.(D) Model A is appropriate, since the relationship between log x and y is linear.(E) Model B is appropriate, since the relationship between x and log y is linear.

FREE RESPONSE (2007 Exam, Form B, #4)

Topic 13: Confidence Intervals and Significance Tests with Bivariate Data (NEW!)

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 (2011 Exam, #5)