TI-83 Graphing Calculator Guide

TI-83 Graphing Calculator Guide

for

Moore and McCabe's

Introduction to the

Practice of Statistics

Fifth Edition

David K. Neal Western Kentucky University

W.H. Freeman and Company New York

Copyright ? 2005 by W. H. Freeman and Company

No part of this book may be reproduced by any mechanical, photographic, or electronic process, or in the form of phonographic recording, nor may it be stored in a retrieval system, transmitted, or otherwise copied for public or private use, without written permission from the publisher.

Printed in the United States of America

ISBN: 0-7167-6364-8

First printing 2004

Preface

The study of statistics has become commonplace in a variety of disciplines and the practice of statistics is no longer limited to specially trained statisticians. The work of agriculturists, biologists, economists, psychologists, sociologists, and many others now quite often relies on the proper use of statistical methods. However, it is probably safe to say that most practitioners have neither the time nor the inclination to perform the long, tedious calculations that are often necessary in statistical inference. Fortunately there are now software packages and calculators that can perform many of these calculations in an instant, thus freeing the user to spend valuable time on methods and conclusions rather than on computation.

With its built-in statistical features, the TI-83 Plus Graphing Calculator has revolutionized the teaching of statistics. Students and teachers now have instant access to many statistical procedures. Advanced techniques can be programmed into the TI-83 Plus which then make it as powerful as, but much more convenient than, common statistical software packages.

This manual serves as a companion to Introduction to the Practice of Statistics (5th Edition) by David S. Moore and George P. McCabe. Problems from each section of the text are worked using either the built-in TI-83 Plus functions or programs specially written for this calculator. The tremendous capabilities and usefulness of the TI-83 Plus are demonstrated throughout. It is hoped that students, teachers, and practitioners of statistics will continue to make use of these capabilities, and that readers will find this manual to be helpful.

Programs

All codes and instructions for the programs are provided in the manual; however, they can be downloaded directly from

Acknowledgments

I would like to thank all those who have used the first two editions of this manual. I appreciate the feedback that I have received from students and instructors who have found these instructions to be helpful. My thanks go to W. H. Freeman and Company for giving me another opportunity to revise the manual for the 5th edition of IPS. Special thanks go to editorial assistant Sarah Fleischman for her organization and help in keeping me on schedule. As always, my sincere gratitude goes to Professors Moore and McCabe for providing educators and students with an excellent text for studying the practice of statistics.

David K. Neal Department of Mathematics Western Kentucky University Bowling Green, KY 42101

email: david.neal@wku.edu homepage:

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Contents

Preface

iii

CHAPTER 1

Looking at Data--Distributions

1

1.1 Displaying Distributions with Graphs

2

Bar Graph of Categorical Data

2

Making a Histogram

3

Time Plot

3

1.2 Describing Distributions with Numbers

4

1?Var Stats

4

Boxplot

5

1.3 Density Curves and Normal Distributions

7

Plotting and Shading a Normal Distribution

7

The Normal Distribution and Inverse Normal Commands

8

Normal Quantile Plot

9

CHAPTER 2

Looking at Data--Relationships

11

2.1 Scatterplots

12

2.2 Correlation

14

2.3 Least-Squares Regression

15

2.4 Cautions about Correlation and Regression

17

CHAPTER 3

Producing Data

19

3.1 First Steps

20

3.2 Design of Experiments

20

The RANDOM Program

21

3.3 Sampling Design

22

Number of Ways to Choose

22

3.4 Toward Statistical Inference

23

CHAPTER 4

Probability: The Study of Randomness

25

4.1 Randomness

26

4.2 Probability Models

27

4.3 Random Variables

28

4.4 Means and Variances of Random Variables

29

Sampling from a Discrete Distribution

30

The DISTSAMP Program

30

Mean and Standard Deviation of an Independent Sum

31

4.5 General Probability

32

The BAYES Program

32

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