Anderson/Sweeney/Williams

Statistics for Business and Economics, Revised, 11th Edition

Key Formulas

DESCRIPTIVE STATISTICS: TABULAR AND GRAPHICAL PRESENTATIONS

Relative Frequency

(2.1)

Approximate Class Width

(2.2)

DESCRIPTIVE STATISTICS: NUMERICAL MEASURES

Sample Mean

(3.1)

Population Mean

(3.2)

Interquartile Range

(3.3)

Population Variance

1 | P a g e

Chapter 2

Chapter 3

Anderson/Sweeney/Williams

Statistics for Business and Economics, Revised, 11th Edition

Key Formulas

(3.4)

Sample Variance

(3.5)

Standard Deviation

(3.6)

(3.7)

Coefficient of Variation

(3.8)

z-Score

(3.9)

Sample Covariance

(3.10)

Population Covariance

(3.11)

Pearson Product Moment Correlation Coefficient: Sample Data

2 | P a g e

Anderson/Sweeney/Williams

Statistics for Business and Economics, Revised, 11th Edition

Key Formulas

(3.12)

Pearson Product Moment Correlation Coefficient: Population Data

(3.13)

Weighted Mean

(3.15)

Sample Mean for Grouped Data

(3.16)

Sample Variance for Grouped Data

(3.17)

Population Mean for Grouped Data

(3.18)

Population Variance for Grouped Data

(3.19)

3 | P a g e

Chapter 4

Anderson/Sweeney/Williams

Statistics for Business and Economics, Revised, 11th Edition

Key Formulas

INTRODUCTION TO PROBABILITY

Counting Rule for Combinations

(4.1)

Counting Rule for Permutations

(4.2)

Computing Probability Using the Complement

(4.5)

Addition Law

(4.6)

Conditional Probability

(4.7)

(4.8)

Multiplication Law

(4.11)

(4.12)

Multiplication Law for Independent Events

4 | P a g e

Anderson/Sweeney/Williams

Statistics for Business and Economics, Revised, 11th Edition

Key Formulas

(4.13)

Bayes' Theorem

(4.19)

DISCRETE PROBABILITY DISTRIBUTIONS

Discrete Uniform Probability Function

(5.3)

Expected Value of a Discrete Random Variable

(5.4)

Variance of a Discrete Random Variable

(5.5)

Number of Experimental Outcomes Providing Exactly x Successes in n Trials

(5.6)

5 | P a g e

Chapter 5

Anderson/Sweeney/Williams

Statistics for Business and Economics, Revised, 11th Edition

Key Formulas

Binomial Probability Function

(5.8)

Expected Value for the Binomial Distribution

(5.9)

Variance for the Binomial Distribution

(5.10)

Poisson Probability Function

(5.11)

Hypergeometric Probability Function

(5.12)

Expected Value for the Hypergeometric Distribution

(5.13)

Variance for the Hypergeometric Distribution

(5.14)

6 | P a g e

Anderson/Sweeney/Williams

Statistics for Business and Economics, Revised, 11th Edition

Key Formulas

CONTINUOUS PROBABILITY DISTRIBUTIONS

Uniform Probability Density Function

(6.1)

Normal Probability Density Function

(6.2)

Converting to the Standard Normal Random Variable

(6.3)

Exponential Probability Density Function

(6.4)

Exponential Distribution: Cumulative Probabilities

(6.5)

7 | P a g e

Chapter 6

Anderson/Sweeney/Williams

Statistics for Business and Economics, Revised, 11th Edition

Key Formulas

SAMPLING AND SAMPLING DISTRIBUTIONS

Expected Value of

(7.1)

Standard Deviation of (Standard Error)

(7.2)

Expected Value of

(7.4)

Standard Deviation of (Standard Error)

(7.5)

INTERVAL ESTIMATION

Interval Estimate of a Population Mean: σ Known

(8.1)

8 | P a g e

Chapter 7

Chapter 8

Anderson/Sweeney/Williams

Statistics for Business and Economics, Revised, 11th Edition

Key Formulas

Interval Estimate of a Population Mean: σ Unknown

(8.2)

Sample Size for an Interval Estimate of a Population Mean

(8.3)

Interval Estimate of a Population Proportion

(8.6)

Sample Size for an Interval Estimate of a Population Proportion

(8.7)

HYPOTHESIS TESTS

Test Statistic for Hypothesis Tests About a Population Mean: σ Known

(9.1)

9 | P a g e

Chapter 9

Anderson/Sweeney/Williams

Statistics for Business and Economics, Revised, 11th Edition

Key Formulas

Test Statistic for Hypothesis Tests About a Population Mean: σ Unknown

(9.2)

Test Statistic for Hypothesis Tests About a Population Proportion

(9.4)

Sample Size for a One-Tailed Hypothesis Test About a Population Mean

(9.7)

In a two-tailed test, replace zα with zα/2.

STATISTICAL INFERENCE ABOUT MEANS AND PROPORTIONS WITH TWO POPULATIONS

Point Estimator of the Difference Between Two Population Means

(10.1)

10 | P a g e

Chapter 10

Anderson/Sweeney/Williams

Statistics for Business and Economics, Revised, 11th Edition

Key Formulas

Standard Error of 1 –  2

(10.2)

Interval Estimate of the Difference Between Two Population Means: σ1 and σ2 Known

(10.4)

Test Statistic for Hypothesis Tests About μ1 – μ2: σ1 and σ2 Known

(10.5)

Interval Estimate of the Difference Between Two Population Means: σ1 and σ2 Unknown

(10.6)

Degrees of Freedom: t Distribution with Two Independent Random Samples

(10.7)

11 | P a g e

Anderson/Sweeney/Williams

Statistics for Business and Economics, Revised, 11th Edition

Key Formulas

Test Statistic for Hypothesis Tests About μ1 – μ2: σ1 and σ2 Unknown

(10.8)

Test Statistic for Hypothesis Tests Involving Matched Samples

(10.9)

Point Estimator of the Difference Between Two Population Proportions

(10.10)

Standard Error of 1 –  2

(10.11)

Interval Estimate of the Difference Between Two Population Proportions

(10.13)

Standard Error of 1 –  2 When = p1 = p2

(10.14)

12 | P a g e

Anderson/Sweeney/Williams

Statistics for Business and Economics, Revised, 11th Edition

Key Formulas

Pooled Estimator of p When p1 = p2 = p

(10.15)

Test Statistic for Hypothesis Tests About p1 – p2

(10.16)

INFERENCES ABOUT POPULATION VARIANCES

Interval Estimate of a Population Variance

(11.7)

Test Statistic for Hypothesis Tests About a Population Variance

(11.8)

Test Statistic for Hypothesis Tests About Population Variances with σ2

1 = σ22

(11.10)

13 | P a g e

Chapter 11