An Introduction to Statistics - NIS&C

[Pages:722] Excel and TI-83 exercises in the text, with corresponding page numbers

Excel

TI-83

Choosing Random Numbers

10

11

Graphical Representation of Data

28

30

Measures of Central Tendency

60

62

Measures of Dispersion

87

90

Permutations and Combinations

127

127

Binomial Probabilities

189

191

Poisson Probabilities

204

206

Normal Probabilities

226

229

Finding Values for Given Probabilities

250

251

Finding Critical Values, Constructing Confidence Intervals

278

279

Two-Tailed Critical Values for the t-Distribution

291

292

Finding Critical Values, Constructing Confidence Intervals

for Population Proportions

301

303

Hypothesis Tests for a Single Population Mean

327

331

Hypothesis Tests for a Single Population Mean

(Small Sample)

343

347

Hypothesis Tests for a Single Population Proportion

356

359

Hypothesis Test for Two Population Means (Large Samples)

380

383

Hypothesis Test for Two Population Means (Small Samples)

398

401

Paired Difference Test

416

418

Hypothesis Test for Two Population Proportions

(Large Samples)

431

433

Hypothesis Test for Two Population Variances

446

448

ANOVA

466

468

Goodness of Fit

486

487

Test for Independence

501

502

Correlation

529

531

Linear Regression

550

553

Calculations for Inference for Regression

575

*

Critical Values for the Sign Test

600

*

Kruskal?Wallis p-Values

632

632

Excel Explorations

The Law of Large Numbers 159 Binomial Probabilities through Simulation 198 Generating Random Normal Data 233 Investigating the Normal Approximation 244 Central Limit Theorem 270 Confidence Intervals 285 Confidence Intervals for Population Proportions 309 The Effect of Sample Size 337 p-Values 363

Mini-Projects

An opportunity to learn about your fellow classmates 16 Fellow classmates: frequency distributions, histograms, and pie charts 45 Fellow classmates: mean, median, first quartile, third quartile, midrange, and mode 73 Fellow classmates: range, interquartile range, and standard deviation 103 Probability that a randomly selected student on your campus is female 162 The mean age of students at your school 285 The mean number of units taken by students at your school this term 296 Proportion of all vehicles in your school's parking lots that are convertibles 308 Testing the claim that the mean height for adult females is 5 5 337 Testing the claim that the mean height for adult males is 5 9 352 Testing the claim that more than 50% of students at your school are female 363 Have college males and females had the same mean number of serious relationships? 393 The amount of money your classmates spent in the last week on food 408 Weight students have gained or lost since attending your school 425 Do students at your school approve of the job the president is doing? 439 Hours per week study time of students at your school 454 Number of calories in one serving of several brands of soda, beer, and juice 477 Eye color in a random sample of at least 100 students 494 Gender and eyeglasses in a random sample of at least 100 students 508 Shoe size and height in a random sample of male and female students 564 Research project: start to finish 649

An Introduction to Statistics

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An Introduction to Statistics

George Woodbury

College of the Sequoias

Australia ? Canada ? Mexico ? Singapore ? Spain ? United Kingdom ? United States

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Library of Congress Cataloging-in-Publication Data

Woodbury, George An introduction to statistics / George Woodbury. p. cm. Includes index. ISBN 0-534-37755-6 1. Statistics. I. Title.

QA276.12.W67 2002 519.5--dc21

BOOK IS PRINTE RE E RECYCLED

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D ON A CID-F

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