Understandable Statistics - McDougal · PDF fileNavigator® 4.7 or higher. ... Understandable Statistics *Indepth/Mentioned page 2 Selected exercises are referenced in parentheses,

6/20032003

Publisher’s Questionnaire

and Correlations to the

Sunshine State Standards

and

Curriculum Framework for AP Statistics

Und e r s t a n d a b l eS t a t i s t i c s Seventh Edition

Page 1

©1999 S

tate of Florida

Divisio

n o

f Pu

blic S

cho

ols an

d C

om

mu

nity E

du

cation

Bureau of C

urriculum, Instruction and A

ssessment

Instructional Materials and Library M

edia

PU

BLIS

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QU

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2003–2004 INS

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to report information about the instructional m

aterials submitted. A

nswer

the questions on this form and include attachm

ents as needed such as “LicensingP

olicy/Agreem

ents,” “Correlation to C

urriculum S

tandards.”

The instructional m

aterials evaluation comm

ittee will review

the responses to this questionnaire, the attachments,

and the actual materials subm

itted. The com

mittees w

ill rate and comm

ent on how w

ell each submission satisfies

the requirements of the criteria. P

ossible ratings are as follows: ν

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adoption. Results w

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tate Com

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valuation Report. T

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ducation will use com

mittee recom

mendations and

cost information in m

aking the final adoption decisions.

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9-12 Mathem

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course may be designated

9-12 Mathem

atics / AP

Statistics

Title o

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bm

ission

U

nd

erstand

able S

tatistics

Authors List full nam

e of author(s). Give m

ajor or senior author first.

C

harles H. B

rase and Corrine P

. Brase

Students and G

rade Levels Describe the type(s) of students and grade level(s) for w

hich this submission is intended.

This text is intended for use w

ith advanced students studying AP

Statistics.

Page 2

©1999 S

tate of Florida

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he Major T

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items necessary to m

eet the standards and requirements of the course or subject for w

hich it is designedand subm

itted. As part of this section, include a description of the educational approach of the subm

ission.(A

dd pages as needed.) E

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nderstandable Statistics is designed as an algebra-based course and assum

es no prior backgroundin statistical concepts and techniques. It is a thorough, yet m

anageable text for AP

Statistics

courses. The text's approachable style is designed to help students overcom

e their apprehensionabout statistics. T

o reinforce this approach, the book integrates graphing technology as well as real-

life data from such sources as journals, periodicals, new

spapers and the Internet. This real-w

orldem

phasis asks students to utilize real data to draw conclusions and interpret results, w

orking onproblem

s drawn from

the sciences, business, medicine, archaeology, and consum

er economics.

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each section. Focus P

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using chapter content. Focus P

oints list the learning objectives for each section. Guided E

xercisesreinforce exam

ples by providing imm

ediate practice on the concepts being studied. Tech N

otesprovide inform

ation about using graphing calculators and software program

s such as Microsoft

Excel. D

ata Highlights offer in-depth applications that are ideal for group activities. T

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that comes w

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with lessons in the text.

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The text is designed for flexibility and the Instructor’s A

nnotated Edition contains inform

ation forplanning alternate routes through the text, depending on the em

phasis the instructor chooses.T

eaching comm

ents and general pedagogical suggestions are located in the margins through the

instructor’s edition. It contains answers to all even-num

bered section problems and all chapter

problems. N

on-graphical answers appear in the m

argins. Answ

ers requiring graphs or tables appearat the end of the instructor’s annotated edition. A

StatP

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is included with the

instructor’s edition.

Page 3

©1999 S

tate of Florida

2. Briefly describe the A

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aterials submitted for purchase and their relationship w

ith them

ajor tool. (Add additional pages as necessary)

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Tech

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Provides activities and projects for students to explore utilizing the technology of com

putersoftw

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pecific instructions are given for using Com

puterStat, M

initab,and the T

I-83 graphing calculator to complete the activities. In addition, a section on E

xcel isincluded. T

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Instru

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his booklet contains blackline master resources and com

plete solutions for every exercise inthe

text.

Stu

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ontains complete solutions for exercises in the text.

Test Item

File

This is a printed guide of all item

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he goal is to determine w

hether theam

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itted.

Understandable S

tatistics may be used w

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academic course of study.

4. WH

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the type of inservice available, how it m

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McD

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ent to each Florida school district in w

hichU

nderstandable Statistics is adopted. C

onsultant services and staff development m

ay be arrangedon a m

utually convenient basis at no cost to the local school district. This service is provided for

the life of the contract and may be arranged by contacting the M

cDougal Littell sales

representative for the local district.

The com

pany maintains a toll-free telephone num

ber (1-800-323-5435) to answer questions and

provide service to teachers. This service is available from

8 a.m. to 5 p.m

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onday throughF

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cDougal Littell softw

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Briefly list and describe the hardw

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implem

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.

Page 4

©1999 S

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outh Carolina. P

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Page 5

©1999 S

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Muffet H

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Box 1667

Evanston, IL 60204

Telephone:

(800) 323-5435, x3985

_________________________________________________________________Signature

D

ate

CORRELATIONSUNSHINE STATE STANDARDS

*Indepth/Mentioned page 1Selected exercises are referenced in parentheses, otherwise entire page is applicable.

SUBJECT: Mathematics 9-12: AP Statistics

SUBMISSION TITLE: Understandable Statistics

PUBLISHER: McDougal Littell

GRADE: 9-12

STRAND A: Number Sense, Concepts, and Operations

STANDARD 1: The student understands the different ways numbers are represented and used in the real world.

BENCHMARKPAGE(S) OR LOCATION(S)

WHERE TAUGHT I/M*MA.A.1.4.1associates verbal names, written word names, andstandard numerals with integers, rational numbers,irrational numbers, real numbers, and complex numbers.

This standard is addressed throughout the text and ancillary materials.Representative citations are listed.

Pupil’s Edition/Instructor's Annotated Edition:36-47, 47-66, 67-84, 85-87, 90-99, 99-114, 114-124, 124-145, 146-147, 272-288,289-302, 303-315, 316-330, 331-333, 551-559, 560-580, 580-595, 596-606, 607-629, 630-633, 637-649, 650-657, 658-667, 667-676, 677-694, 694-712, 713-715

AncillariesInstructor's Resource Guide with Complete Solutions:77-85, 86-92, 109-117, 156-162, 163-176, 218-258, 259-288, 367-407, 544-590,591-627Technology Guide:14-18, 19-30, 36-41, 57-64, 65-71, 91-98, 99-108, 116-121, 147-161, 162-167,187-193, 194-198, 208-210, 231-241, 242-251Test Item File:16-66, 67-99, 163-188, 287-351, 352-395Excel Guide:18-27, 28-34, 44-51, 68-87, 88-99HM StatPass Student CD-ROM:See the “Descriptive Statistics” and “Linear Regression and Correlation” set ofprograms..

I






WHERE TAUGHT I/M*MA.A.1.4.2understands the relative size of integers, rational numbers,irrational numbers, and real numbers.




I






WHERE TAUGHT I/M*MA.A.1.4.3understands concrete and symbolic representations of realand complex numbers in real-world situations.




I






WHERE TAUGHT I/M*MA.A.1.4.4understands that numbers can be represented in a varietyof equivalent forms, including integers, fractions,decimals, percents, scientific notation, exponents,radicals, absolute value, and logarithms.




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GRADE: 9-12


STANDARD 2: The student understands number systems.


WHERE TAUGHT I/M*MA.A.2.4.1understands and uses the basic concepts of limits andinfinity.

Opportunities to address this standard can be found on the following pages:

Pupil’s Edition/Instructor's Annotated Edition:551-559, 560-580, 580-595, 596-606, 607-629, 630-633, 718-727, 727-734, 735-749

AncillariesInstructor's Resource Guide with Complete Solutions:156-162, 177-185, 544-590, 628-652Technology Guide:57-64, 147-161, 231-241Test Item File: 287-351, 396-415Excel Guide:68-87HM StatPass Student CD-ROM: See the “Linear Regression and Correlation” set of programs..

M






WHERE TAUGHT I/M*MA.A.2.4.2understands and uses the real number system.




I






WHERE TAUGHT I/M*MA.A.2.4.3understands the structure of the complex number system.

Topics prerequisite for this standard can be found on the following pages:



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GRADE: 9-12


STANDARD 3: The student understands the effects of operations on numbers and the relationships among these operations, selectsappropriate operations, and computes for problem solving


WHERE TAUGHT I/M*MA.A.3.4.1understands and explains the effects of addition,subtraction, multiplication, and division on real numbers,including square roots, exponents, and appropriate inverserelationships.




I






WHERE TAUGHT I/M*MA.A.3.4.2selects and justifies alternative strategies, such as usingproperties of numbers, including inverse, identity,distributive, associative, transitive, that allow operationalshortcuts for computational procedures in real-world ormathematical problems.


Pupil’s Edition/Instructor's Annotated Edition:36-47, 47-66, 67-84, 85-87, 90-99, 99-114, 114-124, 124-145, 146-147, 272-288,289-302, 303-315, 316-330, 331-333, 551-559, 560-580, 580-595, 596-606, 607-629, 630-633, 637-649, 650-657, 658-667, 667-676, 677-694, 694-712, 713-715AncillariesInstructor's Resource Guide with Complete Solutions:77-85, 86-92, 109-117, 156-162, 163-176, 218-258, 259-288, 367-407, 544-590,591-627Technology Guide:14-18, 19-30, 36-41, 57-64, 65-71, 91-98, 99-108, 116-121, 147-161, 162-167,187-193, 194-198, 208-210, 231-241, 242-251Test Item File:16-66, 67-99, 163-188, 287-351, 352-395Excel Guide:18-27, 28-34, 44-51, 68-87, 88-99HM StatPass Student CD-ROM:See the “Descriptive Statistics” and “Linear Regression and Correlation” set ofprograms..

M






WHERE TAUGHT I/M*MA.A.3.4.3adds, subtracts, multiplies, and divides real numbers,including square roots and exponents, using appropriatemethods of computing, such as mental mathematics, paperand pencil, and calculator.




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GRADE: 9-12


STANDARD 4: The student uses estimation in problem solving and computation.


WHERE TAUGHT I/M*MA.A.4.4.1uses estimation strategies in complex situations to predictresults and to check the reasonableness of results.

Pupil’s Edition/Instructor's Annotated Edition:374-389, 389-401, 401-412, 412-420, 421-439, 440-448, 449-451

AncillariesInstructor's Resource Guide with Complete Solutions:125-133, 434-472Technology Guide: 43-49, 127-134, 215-224Test Item File: 211-233Excel Guide:53-56HM StatPass Student CD-ROM: See the “Confidence Intervals” set of programs..

I





GRADE: 9-12


STANDARD 5: The student understands and applies theories related to numbers.


WHERE TAUGHT I/M*MA.A.5.4.1applies special number relationships such as sequencesand series to real-world problems.




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GRADE: 9-12

STRAND B: Measurement

STANDARD 1: The student measures quantities in the real world and uses the measures to solve problems.


WHERE TAUGHT I/M*MA.B.1.4.1uses concrete and graphic models to derive formulas forfinding perimeter, area, surface area, circumference, andvolume of two- and three-dimensional shapes, includingrectangular solids, cylinders, cones, and pyramids.


Pupil’s Edition/Instructor's Annotated Edition:272-288, 289-302, 303-315, 316-330, 331-333

AncillariesInstructor's Resource Guide with Complete Solutions:109-117, 367-407Technology Guide:36-41, 116-121, 208-210Test Item File: 163-188Excel Guide:44-51HM StatPass Student CD-ROM: See the “Descriptive Statistics” set of programs..

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WHERE TAUGHT I/M*MA.B.1.4.2uses concrete and graphic models to derive formulas forfinding rate, distance, time, angle measures, and arclengths.


Pupil’s Edition/Instructor's Annotated Edition:272-288, 289-302, 303-315, 316-330, 331-333


M

MA.B.1.4.3relates the concepts of measurement to similarity andproportionality in real-world situations



AncillariesInstructor's Resource Guide with Complete Solutions:125-133, 434-472Technology Guide:43-49, 127-134, 215-224Test Item File: 211-233Excel Guide:53-56HM StatPass Student CD-ROM: See the “Confidence Intervals” set of programs..

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GRADE: 9-12


STANDARD 2: The student compares, contrasts, and converts within systems of measurement (both standard/nonstandard andmetric/ customary).


WHERE TAUGHT I/M*MA.B.2.4.1selects and uses direct (measured) or indirect (notmeasured) methods of measurement as appropriate.

Pupil’s Edition/Instructor's Annotated Edition:4-11, 11-19, 20-31, 32-33


I

MA.B.2.4.2solves real-world problems involving rated measures(miles per hour, feet per second).

Pupil’s Edition/Instructor's Annotated Edition:138, 219 (#16), 258 (#13), 312-313 (#27), 462 (#8), 497 (#14), 514 (#3), 517 (#11),559 (#14), 578 (#14)

AncillariesInstructor's Resource Guide with Complete Solutions:118 (#3)Test Item File: 137 (#45, 47), 142-145 (#78, 80-82, 85-87, 90-96, 104), 193 (#26), 211 (#2),239 (#28-29), 242 (#46), 294 (#21-22)

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GRADE: 9-12


STANDARD 3: The student estimates measurements in real-world problem situations.


WHERE TAUGHT I/M*MA.B.3.4.1solves real-world and mathematical problems involvingestimates of measurements, including length, time,weight/mass, temperature, money, perimeter, area, andvolume, and estimates the effects of measurement errorson calculations.



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GRADE: 9-12


STANDARD 4: The student selects and uses appropriate units and instruments for measurement to achieve the degree of precisionand accuracy required in real-world situations.


WHERE TAUGHT I/M*MA.B.4.4.1determines the level of accuracy and precision, includingabsolute and relative errors or tolerance, required in real-world measurement situations.

Pupil’ s Edition/Instructor's Annotated Edition:374-389, 389-401, 401-412, 412-420, 421-439, 440-448, 449-451


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WHERE TAUGHT I/M*MA.B.4.4.2selects and uses appropriate instruments, technology, andtechniques to measure quantities in order to achievespecified degrees of accuracy in a problem situation.

Pupil’s Edition/Instructor's Annotated Edition:4-11, 11-19, 20-31, 32-33


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GRADE: 9-12

STRAND C: Geometry and Spatial Sense

STANDARD 1: The student describes, draws, identifies, and analyzes two- and three-dimensional shapes.


WHERE TAUGHT I/M*MA.C.1.4.1uses properties and relationships of geometric shapes toconstruct formal and informal proofs.



AncillariesInstructor's Resource Guide with Complete Solutions:134-155, 473-543Technology Guide:49-56, 135-146, 225-230Test Item File: 234-286Excel Guide:57-67HM StatPass Student CD-ROM: See the “Hypothesis Testing” set of programs..

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GRADE: 9-12


STANDARD 2: The student visualizes and illustrates ways in which shapes can be combined, subdivided, and changed.


WHERE TAUGHT I/M*MA.C.2.4.1understands geometric concepts such as perpendicularity,parallelism, tangency, congruency, similarity, reflections,symmetry, and transformations including flips, slides,turns, enlargements, rotations, and fractals.


Pupil’s Edition/Instructor's Annotated Edition:551-559, 560-580, 580-595, 596-606, 607-629, 630-633

AncillariesInstructor's Resource Guide with Complete Solutions:156-162, 156-162, 544-590Technology Guide:57-64, 147-161, 231-241Test Item File: 287-351Excel Guide:68-87HM StatPass Student CD-ROM: See the “Linear Regression and Correlation” set of programs..

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WHERE TAUGHT I/M*MA.C.2.4.2analyzes and applies geometric relationships involvingplanar cross-sections (the intersection of a plane and athree-dimensional figure).




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GRADE: 9-12


STANDARD 3: The student uses coordinate geometry to locate objects in both two- and three dimensions and to describe objectsalgebraically.


WHERE TAUGHT I/M*MA.C.3.4.1represents and applies geometric properties andrelationships to solve real-world and mathematicalproblems including ratio, proportion, and properties ofright triangle trigonometry.




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WHERE TAUGHT I/M*MA.C.3.4.2using a rectangular coordinate system (graph), applies andalgebraically verifies properties of two- and three-dimensional figures, including distance, midpoint, slope,parallelism, and perpendicularity.



AncillariesInstructor's Resource Guide with Complete Solutions:156-162, 156-162, 544-590Technology Guide:57-64, 147-161, 231-241Test Item File: 287-351Excel Guide:68-87HM StatPass Student CD-ROM: See the “Linear Regression and Correlation” set of programs.

M





GRADE: 9-12

STRAND D: Algebraic Thinking

STANDARD 1: The student describes, analyzes, and generalizes a wide variety of patterns, relations, and functions.


WHERE TAUGHT I/M*MA.D.1.4.1describes, analyzes, and generalizes relationships,patterns, and functions using words, symbols, variables,tables, and graphs.



AncillariesInstructor's Resource Guide with Complete Solutions:77-85, 86-92, 109-117, 156-162, 163-176, 218-258, 259-288, 367-407, 544-590,591-627Technology Guide:14-18, 19-30, 36-41, 57-64, 65-71, 91-98, 99-108, 116-121, 147-161, 162-167,187-193, 194-198, 208-210, 231-241, 242-251Test Item File:16-66, 67-99, 163-188, 287-351, 352-395Excel Guide:18-27, 28-34, 44-51, 68-87, 88-99HM StatPass Student CD-ROM:See the “Descriptive Statistics” and “Linear Regression and Correlation” set ofprograms.

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WHERE TAUGHT I/M*MA.D.1.4.2determines the impact when changing parameters of givenfunctions.




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GRADE: 9-12

STRAND D: Algebraic Thinking

STANDARD 2: The student uses expressions, equations, inequalities, graphs, and formulas to represent and interpret situations.


WHERE TAUGHT I/M*MA.D.2.4.1represents real-world problem situations using finitegraphs, matrices, sequences, series, and recursiverelations.



AncillariesInstructor's Resource Guide with Complete Solutions:156-162, 177-185, 544-590, 628-652Technology Guide:57-64, 147-161, 231-241Test Item File: 287-351, 396-415Excel Guide:68-87HM StatPass Student CD-ROM: See the “Linear Regression and Correlation” set of programs.

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WHERE TAUGHT I/M*MA.D.2.4.2uses systems of equations and inequalities to solve real-world problems graphically, algebraically, and withmatrices.




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GRADE: 9-12

STRAND E: Data Analysis and Probability

STANDARD 1: The student understands and uses the tools of data analysis for managing information.


WHERE TAUGHT I/M*MA.E.1.4.1interprets data that has been collected, organized, anddisplayed in charts, tables, and plots.




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WHERE TAUGHT I/M*MA.E.1.4.2calculates measures of central tendency (mean, median,and mode) and dispersion (range, standard deviation, andvariance) for complex sets of data and determines themost meaningful measure to describe the data.




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WHERE TAUGHT I/M*MA.E.1.4.3analyzes real-world data and makes predictions of largerpopulations by applying formulas to calculate measures ofcentral tendency and dispersion using the samplepopulation data, and using appropriate technology,including calculators and computers.




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GRADE: 9-12


STANDARD 2: The student identifies patterns and makes predictions from an orderly display of data using concepts of probabilityand statistics.


WHERE TAUGHT I/M*MA.E.2.4.1determines probabilities using counting procedures,tables, tree diagrams, and formulas for permutations andcombinations.

Pupil’s Edition/Instructor's Annotated Edition:150-161, 161-181, 182-202, 203

AncillariesInstructor's Resource Guide with Complete Solutions:93-99, 289-317Technology Guide:31, 109, 199-201Test Item File: 100-126Excel Guide:35-37HM StatPass Student CD-ROM: See the “Probability Distributions and Central Limit Theorem” set of programs.

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WHERE TAUGHT I/M*MA.E.2.4.2determines the probability for simple and compoundevents as well as independent and dependent events.

Pupil’s Edition/Instructor's Annotated Edition:150-161, 161-181, 182-202, 203

AncillariesInstructor's Resource Guide with Complete Solutions:93-99, 289-317Technology Guide:31, 109, 199-201Test Item File: 100-126Excel Guide:35-37HM StatPass Student CD-ROM: See the “Probability Distributions and Central Limit Theorem” set of programs.

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GRADE: 9-12


STANDARD 3: The student uses statistical methods to make inferences and valid arguments about real-world situations.


WHERE TAUGHT I/M*MA.E.3.4.1designs and performs real-world statistical experimentsthat involve more than one variable, then analyzes resultsand reports findings.

Pupil’s Edition/Instructor's Annotated Edition:453-463, 463-477, 477-487, 487-498, 498-505, 505-519, 519-547, 548-549

AncillariesInstructor's Resource Guide with Complete Solutions:134-155, 473-543Technology Guide:49-56, 135-146, 225-230Test Item File: 234-286Excel Guide:57-67HM StatPass Student CD-ROM:See the “Hypothesis Testing” set of programs.

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WHERE TAUGHT I/M*MA.E.3.4.2explains the limitations of using statistical techniques anddata in making inferences and valid arguments.




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CORRELATIONCURRICULUM FRAMEWORKS

*Indepth/Mentioned page 1Selected Exercises are referenced in parentheses, otherwise entire page is applicable.

COURSE TITLE: AP Statistics

COURSE NUMBER: 1210320


PUBLISHER: McDougal Littell

INTENDED OUTCOMES(Number and outcome)

PAGE(S) OR LOCATION(S)WHERE TAUGHT I/M*

1. Interpret graphical displays of distributions of univariatedata.

This standard is addressed throughout the text and ancillarymaterials. Representative citations are listed.

Pupil’s Edition/Instructor's Annotated Edition:36-47, 47-66, 67-84, 272-288, 289-302, 303-315, 316-330, 331-333

AncillariesInstructor's Resource Guide with Complete Solutions:77-85, 109-117, 218-258, 367-407Technology Guide:14-18, 36-41, 91-98, 116-121, 187-193, 208-210Test Item File:16-66, 163-188Excel Guide:18-27, 44-51HM StatPass Student CD-ROM:See the “Descriptive Statistics” set of programs..

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2. Summarize distributions of univariate data. This standard is addressed throughout the text and ancillarymaterials. Representative citations are listed.

Pupil’s Edition/Instructor's Annotated Edition:36-47, 47-66, 67-84, 85-87, 90-99, 99-114, 114-124, 124-145,146-147, 272-288, 289-302, 303-315, 316-330, 331-333

AncillariesInstructor's Resource Guide with Complete Solutions:77-85, 86-92, 109-117, 218-258, 260-288, 367-407Technology Guide:14-18, 19-30, 36-41, 91-98, 99-108, 116-121, 187-193, 194-198,208-210Test Item File:16-66, 67-99, 163-188Excel Guide:18-27, 28-34, 44-51HM StatPass Student CD-ROM:See the “Descriptive Statistics” set of programs..

I







3. Compare distributions of univariate data. This standard is addressed throughout the text and ancillarymaterials. Representative citations are listed.

Pupil’s Edition/Instructor's Annotated Edition:36-47, 47-66, 67-84, 85-87, 90-99, 99-114, 114-124, 124-145,146-147, 272-288, 289-302, 303-315, 316-330, 331-333, 637-649,650-657, 658-667, 667-676, 677-694, 694-712, 713-715

AncillariesInstructor's Resource Guide with Complete Solutions:77-85, 86-92, 109-117, 163-176, 218-258, 260-288, 367-407, 591-627Technology Guide:14-18, 19-30, 36-41, 65-71, 91-98, 99-108, 116-121, 162-167,187-193, 194-198, 208-210, 242-251Test Item File:16-66, 67-99, 163-188, 352-395Excel Guide:18-27, 28-34, 44-51, 88-99HM StatPass Student CD-ROM:See the “Descriptive Statistics” set of programs..

I







4. Explore bivariate data. Pupil’s Edition/Instructor's Annotated Edition:551-559, 560-580, 580-595, 596-606, 607-629, 630-633, 718-727,727-734, 735-749


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5. Explore categorical data. This standard is addressed throughout the text and ancillarymaterials. Representative citations are listed.

Pupil’s Edition/Instructor's Annotated Edition:4-11, 11-19, 20-31, 32-33, 36-47, 47-66, 67-84, 272-288, 289-302,303-315, 316-330

AncillariesInstructor's Resource Guide with Complete Solutions:71-76, 77-85, 109-117, 213-217, 218-258, 367-407Technology Guide:3-13, 14-18, 36-41, 75-90, 91-98, 116-121, 179-186, 187-193,208-210Test Item File:1-15, 16-66, 163-188Excel Guide:1-17, 18-27, 44-51HM StatPass Student CD-ROM:See the “Descriptive Statistics” set of programs.

I







6. Overview methods of data collection. Pupil’s Edition/Instructor's Annotated Edition:4-11, 11-19, 20-31, 32-33

AncillariesInstructor's Resource Guide with Complete Solutions:71-76, 213-217Technology Guide:3-13, 75-90, 179-186Test Item File: 1-15Excel Guide:1-17HM StatPass Student CD-ROM: See the “Descriptive Statistics” set of programs.

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7. Plan and conduct surveys. Pupil’s Edition/Instructor's Annotated Edition:24-25, 27 (#4)

AncillariesInstructor's Resource Guide with Complete Solutions:74 (#4)Test Item File: 5 (#26)

I







8. Plan and conduct experiments. Pupil’s Edition/Instructor's Annotated Edition:453-463, 463-477, 477-487, 487-498, 498-505, 505-519, 519-547

AncillariesInstructor's Resource Guide with Complete Solutions:134-155, 473-543Technology Guide:49-56, 135-146, 225-230Test Item File: 234-286Excel Guide:57-67HM StatPass Student CD-ROM: See the “Hypothesis Testing” set of programs.

I

9. Producing models using probability as relative frequency. Pupil’s Edition/Instructor's Annotated Edition:150-161, 161-181, 182-202, 203

AncillariesInstructor's Resource Guide with Complete Solutions:93-99, 289-317Technology Guide:31, 109, 199-201Test Item File: 100-126Excel Guide:35-37HM StatPass Student CD-ROM: See the “Probability Distributions and Central Limit Theorem”set of programs.

I







10. Combine independent random variables. Pupil’s Edition/Instructor's Annotated Edition:206-220, 220-234, 235-246, 246-260, 262-268, 269

AncillariesInstructor's Resource Guide with Complete Solutions:100-108, 318-366Technology Guide:32-35, 111-115, 202-207Test Item File: 127-162Excel Guide:38-43HM StatPass Student CD-ROM: See the “Probability Distributions and Central Limit Theorem”set of programs.

I

11. Simulate normal distribution. Pupil’s Edition/Instructor's Annotated Edition:272-288, 289-302, 303-315, 316-330, 331-333

AncillariesInstructor's Resource Guide with Complete Solutions:109-117, 367-407Technology Guide:36-41, 116-121, 208-210Test Item File: 163-188Excel Guide:44-51HM StatPass Student CD-ROM: See the “Descriptive Statistics” set of programs.

I







12. Simulate sampling distributions. Pupil’s Edition/Instructor's Annotated Edition:336-341, 341-353, 353-368, 369-371

AncillariesInstructor's Resource Guide with Complete Solutions:118-124, 408-433Technology Guide:42, 122-126, 211-214Test Item File: 189-210Excel Guide:52HM StatPass Student CD-ROM:See the “Probability Distributions and Central Limit Theorem”set of programs.

I

13. Use confidence intervals to confirm models. Pupil’s Edition/Instructor's Annotated Edition:374-389, 389-401, 401-412, 412-420, 421-439, 440-448, 449-451

AncillariesInstructor's Resource Guide with Complete Solutions:125-133, 434-472Technology Guide:43-49, 127-134, 215-224Test Item File: 211-233Excel Guide:53-56HM StatPass Student CD-ROM: See the “Confidence Intervals” set of programs.

I







14. Use tests of significance to confirm models. Pupil’s Edition/Instructor's Annotated Edition:453-463, 463-477, 477-487, 487-498, 498-505, 505-519, 519-547,548-549

AncillariesInstructor's Resource Guide with Complete Solutions:134-155, 473-543Technology Guide:49-56, 135-146, 225-230Test Item File: 234-286Excel Guide:57-67HM StatPass Student CD-ROM:See the “Hypothesis Testing” set of programs.

I

15. Explore special cases of normally distributed data. Pupil’s Edition/Instructor's Annotated Edition:272-288, 289-302, 303-315, 316-330, 331-333


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page 1

Understandable Statistics

correlated to the

Advanced PlacementProgram Course Description for Statistics

I. Exploring Data: Observing patterns and departures from patterns.Exploratory analysis of data makes use of graphical and numerical techniques to study patterns and departures from patterns.Emphasis should be place on interpreting information from graphical and numerical displays and summaries.

A. Interpreting graphical displays of distributions of univariate data (dotplot, stemplot, histogram, cumulative frequency plot)

1. Center and spread

PE: Frequency Distributions and Histograms, 47-66; Dotplot, 66; Stem-and-Leaf Displays, 67-76; Using Technology:Applications, 85-87; Box-and-Whisker Plots, 129-137

2. Clusters and gaps

PE: Bar Graphs, Circle Graphs, and Time Plots, 36-47; Frequency Distributions and Histograms, 47-66

3. Outliers and other unusual features

PE: Bar Graphs, Circle Graphs, and Time Plots, 36-47; Frequency Distributions and Histograms, 47-66; Stem-and-LeafDisplays, 67-76; Box-and-Whisker Plots, 129-137

4. Shape

PE: Time Plots, 41-42; Distribution Shapes, 54, 85-87

Understandable Statistics correlated to theAdvanced Placement Program Course Description for Statistics

page 2

B. Summarizing distributions of univariate data

1. Measuring center: median, mean

PE: Measures of Central Tendency: Mode, Median, Mean, 90-99

2. Measuring spread: range, interquartile range, standard deviation

PE: Measures of Variation, 99-114

3. Measuring position: quartiles, percentiles, standardized scores (z-scores)

PE: Percentiles, 124-128, 132-133; z Scores and Raw Scores, 289-290

4. Using boxplots

PE: Box-and-Whisker Plots, 129-137

5. The effect of changing units on summary measures

PE: Coefficient of Variation, 105-107

C. Comparing distributions of univariate data (dotplots, back-to-back stemplots, parallel boxplots)

1. Comparing center and spread: within group, between group variation

PE: Back-to-Back Stem Plots, 75-76; Using Technology: Comparing Histograms, 85; Mean and Standard Deviation ofGrouped Data, 114-124; Comparing Box-and-Whisker Plots, 130-131, 133, 134-135; Using Technology, 146

2. Comparing clusters and gaps

PE: Dotplot, 66; Back-to-Back Stem Plot, 75-76


page 3

3. Comparing outliers and other unusual features

PE: Fences and Outliers, 131, 135; Using Technology, 146

4. Comparing shapes

PE: Distribution Shapes, 54

D. Exploring bivariate data

1. Analyzing patterns in scatterplots

PE: Introduction to Paired Data and Scatter Diagrams, 552-559

2. Correlation and linearity

PE: The Linear Correlation Coefficient, 580-595; Inferences Concerning Regression Parameters, 596-606

3. Least-squares regression line

PE: Linear Regression and Confidence Bounds for Prediction, 560-580

4. Residual plots, outliers, and influential points

PE: Residual Plot, 579-580; Outlier, 580; Influential Points, 627-628

5. Transformations to achieve linearity: logarithmic and power transformations

PE: Changing Scales, 559


page 4

E. Exploring categorical data: frequency tables

1. Marginal and joint frequencies for two-way tables

PE: Contingency Table, 637-638

2. Conditional relative frequencies and association

PE: Relative Frequency, 50-51; Relative Frequency as Probability, 150-151


page 5

II. Planning a Study: Deciding what and how to measureData must be collected according to a well-developed plan if valid information on a conjecture is to be obtained. This plan includesclarifying the question and deciding upon a method of data collection and analysis.

A. Overview of methods of data collection

1. Census

PE: Census, 20

2. Sample survey

PE: Sample Data, 5; Sample, 20; Surveys, 24-25

3. Experiment

PE: Experiments, 21-22, 153, 220-221

4. Observational study

PE: Observational Study, 21

B. Planning and conducting surveys

1. Characteristics of a well-designed and well-conducted survey

PE: Surveys, 24-25

2. Sample survey

PE: Sample Data, 5; Sample Statistical Survey, 20; Surveys, 24-25

3. Sources of bias in surveys

PE: Hidden bias, 24


page 6

4. Simple random sampling

PE: Simple Random Samples, 11-15

5. Stratified random sampling

PE: Stratified Sampling, 15-16

C. Planning and conducting experiments

1. Characteristics of a well-designed and well-conducted experiment

PE: Experiments and Observation, 21-23, 28; Binomial Experiment, 220-222; Experimental Design, 702-703

2. Treatments, control groups, experimental units, random assignments, and replication

PE: Randomized Two-Treatment Experiment, Control, and Replication, 22-23; Control Charts, 278-284

3. Sources of bias and confounding, including placebo effect and blinding

PE: Placebo, Double-Blind, Lurking or Confounding Variables, 22-23

4. Completely randomized design

PE: Completely Randomized Design, 702

5. Randomized block design, including matched pairs design

PE: Randomized Block Design, 703

D. Generalizability of results from observational studies, experimental studies, and surveys

PE: Descriptive and Inferential Statistics, 9; Generalizing Results, 25


page 7

III. Anticipating Patterns: Producing models using probability theory and simulationProbability is the tool used for anticipating what the distribution of data should look like under a given model.

A. Probability as relative frequency

1. “Law of large numbers” concept

PE: What Is Probability?, 150-161; Using Technology: Demonstration of the Law of Large Numbers, 203

2. Addition rule, multiplication rule, conditional probability, and independence

PE: Some Probability Rules—Compound Events, 161-181; Trees and Counting Techniques, 182-197; Bayes Theorem, A1-A4

3. Discrete random variables and their probability distributions, including binomial

PE: Introduction to Random Variables and Probability Distributions, 206-220

4. Simulation of probability distributions, including binomial and geometric

PE: Binomial Probabilities, 220-234; The Geometric and Poisson Probability Distributions, 246-260; Using Technology:Binomial Distributions, 269

5. Mean (expected value) and standard deviation of a random variable, and linear transformation of a random variable

PE: Introduction to Random Variables and Probability Distributions, 206-220; Additional Properties of the BinomialDistribution, 235-246

B. Combining independent random variables

1. Notion of independence versus dependence

PE: Linear Combinations of Independent Random Variables, 213-214, 219-220


page 8

2. Mean and standard deviation for sums and differences of independent random variables

PE: Linear Combinations of Independent Random Variables, 213-214, 219-220

C. The normal distribution

1. Properties of the normal distribution

PE: Graphs of Normal Probability Distributions, 272-288

2. Using tables of the normal distribution

PE: Standard Units and Areas Under the Standard Normal Distribution, 289-302; Areas of a Standard Normal Distribution,A26-A27

3. The normal distribution as a model for measurements

PE: Areas Under Any Normal Curve, 303-315; Normal Approximation to the Binomial Distribution, 316-324; UsingTechnology: Applications, 331-333

D. Sampling distributions

1. Sampling distribution of a sample proportion

PE: Sampling Distributions for Proportions, 353-364

2. Sampling distribution of a sample mean

PE: Sampling Distributions, 336-341

3. Central Limit Theorem

PE: The Central Limit Theorem, 341-353; Using Technology: Project Illustrating the Central Limit Theorem, 369-371


page 9

4. Sampling distribution of a difference between two independent sample proportions

PE: Estimating p1 – p2, 428-431; Testing Difference of Proportions, 529-530, 539-540

5. Sampling distribution of a difference between two independent sample means

PE: Estimating µ1 – µ2, 421-428; Testing Difference of Means, 520-529, 534-539

6. Simulation of sampling distributions

PE: Using Technology: Simulation, 548-549


page 10

IV. Statistical Inference: Confirming modelsStatistical inference guides the selection of appropriate models.

A. Confidence intervals

1. The meaning of a confidence interval

PE: Confidence Interval, 379, 381-382

2. Large sample confidence interval for a proportion

PE: Confidence Interval for p, 403-412

3. Large sample confidence interval for a mean

PE: Confidence Interval for µ (Large Samples), 376-379, 395

4. Large sample confidence interval for a difference between two proportions

PE: Confidence Interval for p1 – p2 (Large Samples), 428-439

5. Large sample confidence interval for a difference between two means (unpaired and paired)

PE: Confidence Interval for µ1 – µ2 (Large Samples), 423-425, 431-439

B. Tests of significance

1. Logic of significance testing, null and alternative hypotheses; p-values; one- and two-sided tests; concepts of Type I andType II errors; concept of power

PE: Hypothesis Tests, 454-463; The P Value in Hypothesis Testing, 477-487

2. Large sample test for a proportion

PE: Tests Involving a Proportion, 498-505


page 11

3. Large sample test for a mean

PE: Test Involving the Mean µ (Large Samples), 463-477

4. Large sample test for a difference between two proportions

PE: Tests for Difference of Proportions, 529-541

5. Large sample test for a difference between two means (unpaired and paired)

PE: Tests Involving Paired Differences (Dependent Samples), 505-519; Testing Difference of Means for Large, IndependentSamples, 520-524, 534-541

6. Chi-square test for goodness of fit, homogeneity of proportions, and independence (one- and two-way tables)

PE: Chi Square: Tests of Independence, 637-649; Chi Square: Goodness of Fit, 650-657; Testing and Estimating a SingleVariance, 658-667; Testing Two Variances, 667-676

C. Special case of normally distributed data

1. t-distribution

PE: Estimating µ with Small Samples, 389-401

2. Single sample t procedures

PE: Tests Involving the Mean µ (Small Samples), 487-498

3. Two sample (independent and matched pairs) t procedures

PE: Tests Involving Paired Differences, 505-519; Testing Difference of Means for Small Samples, 525-529


page 12

4. Inference for the slope of least-squares regression line

PE: Linear Regression and Confidence Bounds for Prediction, 560-580; The Linear Correlation Coefficient, 580-596;Inferences Concerning Regression Parameters, 596-606; Multiple Regression, 607-624; Using Technology: Applications,630-633

Documents

Understandable Statistics - McDougal · PDF fileNavigator® 4.7 or higher. ... Understandable Statistics *Indepth/Mentioned page 2 Selected exercises are referenced in parentheses,