ap08_stat_form_b_frq - AP Statistics 2008 Free-Response...

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AP ® Statistics 2008 Free-Response Questions Form B The College Board: Connecting Students to College Success The College Board is a not-for-profit membership association whose mission is to connect students to college success and opportunity. Founded in 1900, the association is composed of more than 5,000 schools, colleges, universities, and other educational organizations. Each year, the College Board serves seven million students and their parents, 23,000 high schools, and 3,500 colleges through major programs and services in college admissions, guidance, assessment, financial aid, enrollment, and teaching and learning. Among its best-known programs are the SAT ® , the PSAT/NMSQT ® , and the Advanced Placement Program ® (AP ® ). The College Board is committed to the principles of excellence and equity, and that commitment is embodied in all of its programs, services, activities, and concerns. © 2008 The College Board. All rights reserved. College Board, Advanced Placement Program, AP, AP Central, SAT, and the acorn logo are registered trademarks of the College Board. PSAT/NMSQT is a registered trademark of the College Board and National Merit Scholarship Corporation. Permission to use copyrighted College Board materials may be requested online at: www.collegeboard.com/inquiry/cbpermit.html. Visit the College Board on the Web: www.collegeboard.com. AP Central is the official online home for the AP Program: apcentral.collegeboard.com.
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2008 AP ® STATISTICS FREE-RESPONSE QUESTIONS (Form B) -2- Formulas begin on page 3. Questions begin on page 6. Tables begin on page 13.
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2008 AP ® STATISTICS FREE-RESPONSE QUESTIONS (Form B) -3- Formulas (I) Descriptive Statistics x i x n Ç + , 2 1 1 x s x x i n 0 Ç 0 + , + , + , + , 2 2 1 2 1 2 1 2 1 1 1 1 p n s n s s n n 0 . 0 0 . 0 0 1 ˆ y b b x . + , + , + , 1 2 i i i x x y y b x x Ç Ç 0 0 0 0 1 b y b x 0 1 1 i i x y x x y y r n s s È Ø È Ø Ç É Ù É Ù Ê Ú Ê Ú 0 0 0 1 y x s b r s + , + , 2 2 1 ˆ 2 i i b i y y n s x x Ç Ç 0 0 0
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2008 AP ® STATISTICS FREE-RESPONSE QUESTIONS (Form B) -4- (II) Probability ( ) ( ) ( ) ( ) P A B P A P B P A B ª . 0 © ( ) ( ) ( ) P A B P A B P B © ( ) E X x p x i i Ç μ + , 2 2 Var( ) x i x X x p i s 0 Ç μ If X has a binomial distribution with parameters n and p , then: ( ) (1 ) n k n k P X k p p k È Ø É Ù Ê Ú 0 0 np x μ (1 ) np p x s 0 ˆ p p μ (1 ) ˆ p p p n s 0 If x is the mean of a random sample of size n from an infinite population with mean μ and standard deviation , s then: x μ μ x n s s
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2008 AP ® STATISTICS FREE-RESPONSE QUESTIONS (Form B) -5- (III) Inferential Statistics standard deviation of statistic statistic parameter Standardized test statistic: 0 + , + , Confidence interval: statistic critical value standard deviation of statistic ¢ ¡ Single-Sample Statistic Standard Deviation of Statistic Sample Mean n s Sample Proportion (1 ) p p n 0 Two-Sample Statistic Standard Deviation of Statistic Difference of sample means 2 2 1 2 1 2 n n s s .
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