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Table of Contents


Essentials of Business Statistics

Bruce L. Bowerman, Miami University of Ohio
Richard T. O' Connell, Miami University of Ohio
J. B. Orris, Butler University

ISBN: 0072827823
Copyright year: 2004

Table of Contents



Chapter 1
An Introduction to Business Statistics
1.1 Populations and Samples 3
1.2 Sampling a Population of Existing Units 4
1.3 Sampling a Process 12
*1.4 Ratio, Interval, Ordinal, and Nominative Scales of Measurement 20
App 1.1 Getting Started with MINITAB 24
App 1.2 Getting Started with Excel 29
App 1.3 Getting Started with MegaStat 32
App 1.4 Introduction to Internet Exercises 36
 
Chapter 2
Descriptive Statistics
2.1 Describing the Shape of a Distribution 39
2.2 Describing Central Tendency 55
2.3 Measures of Variation 64
2.4 Percentiles, Quartiles, and Box-and-Whiskers Displays 75
2.5 Describing Qualitative Data 84
*2.6 Using Scatter Plots to Study Relationships between Variables 91
*2.7 Misleading Graphs and Charts 93
*2.8 Weighted Means and Grouped Data 97
*2.9 The Geometric Mean 101
App 2.1 Descriptive Statistics Using MINITAB 111
App 2.2 Descriptive Statistics Using Excel 114
App 2.3 Descriptive Statistics Using MegaStat 117
 
Chapter 3
Probability
3.1 The Concept of Probability 121
3.2 Sample Spaces and Events 123
3.3 Some Elementary Probability Rules 130
3.4 Conditional Probability and Independence 137
*3.5 Bayes' Theorem 148
 
Chapter 4
Discrete Random Variables
4.1 Two Types of Random Variables 157
4.2 Discrete Probability Distributions 158
*Optional Section
4.3 The Binomial Distribution 169
*4.4 The Poisson Distribution 180
App 4.1 Binomial and Poisson Probabilities Using MINITAB 188
App 4.2 Binomial and Poisson Probabilities Using Excel 188
App 4.3 Binomial and Poisson Probabilities Using MegaStat 190
 
Chapter 5
Continuous Random Variables
5.1 Continuous Probability Distributions 193
5.2 The Uniform Distribution 195
5.3 The Normal Probability Distribution 198
*5.4 Approximating the Binomial Distribution by Using the Normal Distribution 216
*5.5 The Exponential Distribution 220
*5.6 The Cumulative Normal Table 222
App 5.1 Normal Distribution Using MINITAB 230
App 5.2 Normal Distribution Using Excel 231
App 5.3 Normal Distribution Using MegaStat 233
 
Chapter 6
Sampling Distributions
6.1 The Sampling Distribution of the Sample Mean 235
6.2 The Sampling Distribution of the Sample Proportion 248
App 6.1 Simulating Sampling Distributions Using MINITAB 256
 
Chapter 7
Confidence Intervals
7.1 Large Sample Confidence Intervals for a Population Mean 259
7.2 Small Sample Confidence Intervals for a Population Mean 268
7.3 Sample Size Determination 276
7.4 Confidence Intervals for a Population Proportion 280
*7.5 A Comparison of Confidence Intervals and Tolerance Intervals 287
App 7.1 Confidence Intervals Using MINITAB 293
App 7.2 Confidence Intervals Using Excel 294
App 7.3 Confidence Intervals Using MegaStat 295
 
Chapter 8
Hypothesis Testing
8.1 The Null and Alternative Hypotheses and Errors in Hypothesis Testing 299
8.2 Large Sample Tests about a Population Mean: One-Sided Alternatives 305
8.3 Large Sample Tests about a Population Mean: Two-Sided Alternatives 315
8.4 Small Sample Tests about a Population Mean 321
8.5 Tests about a Population Proportion 326
*8.6 Type II Error Probabilities and Sample Size Determination 331
App 8.1 One-Sample Hypothesis Testing Using MINITAB 343
App 8.2 One-Sample Hypothesis Testing Using Excel 344
App 8.3 One-Sample Hypothesis Testing Using MegaStat 345
 
Chapter 9
Comparing Population Means
9.1 Comparing Two Population Means by Using Large, Independent Samples 347
9.2 Comparing Two Population Means by Using Small, Independent Samples 354
9.3 Paired Difference Experiments 361
9.4 Basic Concepts of Experimental Design 369
9.5 One-Way Analysis of Variance 372
App 9.1 Two-Sample t Tests and One-Way ANOVA Using MINITAB 388
App 9.2 Two-Sample t Tests and One-Way ANOVA Using Excel 390
App 9.3 Two-Sample t Tests and One-Way ANOVA Using MegaStat 391
 
Chapter 10
Comparing Proportions and Chi-Square Tests
10.1 Comparing Two Population Proportions by Using Large, Independent Samples 395
10.2 The Chi-Square Distribution 401
10.3 Chi-Square Goodness of Fit Tests 402
10.4 A Chi-Square Test for Independence 411
App 10.1 Comparing Proportions and Chi-Square Tests Using MINITAB 424
App 10.2 Chi-Square Tests Using Excel 426
App 10.3 Comparing Proportions and Chi-Square Tests Using MegaStat 428
 
Chapter 11
Simple Linear Regression Analysis
11.1 The Simple Linear Regression Model 433
11.2 The Least Squares Estimates, and Point Estimation and Prediction 444
11.3 Model Assumptions and the Standard Error 453
11.4 Testing the Significance of the Slope and y Intercept 456
11.5 Confidence and Prediction Intervals 465
11.6 Simple Coefficients of Determination and Correlation 473
11.7 An F Test for the Model 479
*11.8 Residual Analysis 481
*11.9 Some Shortcut Formulas 494
App 11.1 Simple Linear Regression Analysis Using MINITAB 503
App 11.2 Simple Linear Regression Analysis Using Excel 504
App 11.3 Simple Linear Regression Analysis Using MegaStat 506
 
Chapter 12
Multiple Regression and Model Building
12.1 The Linear Regression Model 509
12.2 The Least Squares Estimates, and Point Estimation and Prediction 517
12.3 The Mean Square Error and the Standard Error 524
12.4 Model Utility: R2, Adjusted R2, and the Overall F Test 525
12.5 Testing the Significance of an Independent Variable 528
12.6 Confidence and Prediction Intervals 532
12.7 Dummy Variables, and an Introduction to Interaction 535
12.8 Model Building, and the Effects of Multicollinearity 546
12.9 Residual Analysis in Multiple Regression 554
App 12.1 Multiple Linear Regression Analysis Using MINITAB 565
App 12.2 Multiple Linear Regression Analysis Using Excel 567
App 12.3 Multiple Linear Regression Analysis Using MegaStat 569
 
Appendix A
Statistical Tables 572
 
Appendix B
Counting Rules 596
 
Appendix C
The Hypergeometric Distribution 598
 
Answers to Most Odd-Numbered Exercises 599
 
References 609
 
Photo Credits 611
 
Index 613
Essentials of Business Statistics

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