Bronx Community College of the City University of New York

Department of Mathematics and Computer Science


Syllabus: MTH 23 Probability and Statistics (3 credits, 3 hours per week)


Prerequisite: MTH 04 or equivalent; co-requisite ENG 02 and/or RDL 02 if required


TEXT: Understanding Basic Statistics by Brase & Brase, BROOKS/COLE, Cengage Learning. (5th Edition, ISBN 978-0-547-13249-5)





SECTION

TOPIC

PAGES

PROBLEMS

1. Getting Started

1.1

What is statistics?

10-11

1-13

1.2

Random Samples

17-18

1-16


1.3

Introduction to Experimental Design

26-27

1-6

2. Organizing Data

2.1

Frequency Distributions, Histograms, and Related Topics

44-48

1-17

2.2

Bar Graphs, Circle Graphs, and Time-Series Graphs

54-56

1-12

2.3

Stem-and-Leaf Displays

60-63

1-10

3. Averages and Variation

3.1

Measures of Central Tendency: Mode, Median, and Mean

81-83

1-14

3.2

Measures of Variation

93-98

1-17

3.3

Percentiles and Box-and-Whisker Plots

105-107

1-10

4. Correlation and Regression

4.1

Scatter Diagrams and Linear Correlation

130-133

1-18

4.2

Linear Regression and the Coefficient of Determination

144-147

1-14

5. Elementary Probability Theory

5.1

What is Probability?

164-166

1-13

5.2

Some Probability Rules– Compound Events

180-184

1-23

5.3

Tree Diagrams and Counting Techniques

192-194

1-27

6. The Binomial Probability Distribution

and Related Topics

6.1

Introduction to Random Variables and Probability Distributions

210-213

1-14

6.2

Binomial Probabilities

222-225

1-18

6.3

Additional Properties of the Binomial Distribution

230-232

1-15

7. Normal Curves and Sampling Distributions

7.1

Graphs of Normal Probability Distribution

248-250

1-11

7.2

Standard Units and Areas Under the Standard Normal Distribution

259-260

1-48

7.3

Areas Under any Normal Curve

270-274

1-35

7.4

Sampling Distributions

278-279

1-9

7.5

The Central Limit Theorem

286-289

1-17

7.6

Normal Approximation to the Binomial Distribution

294-296

1-13

8. Estimation

8.1

Estimating μ when σ is Known

316-319

1-20

8.2

Estimating μ when σ is Unknown

326-330

1-20

8.3

Estimating p in the Binomial Distribution

338-341

1-20

9. Hypothesis Testing

9.1

Introduction to Statistical Tests

363-366

1-14

9.2

Testing the Mean μ

378-382

1-22

9.3

Testing a Proportion p

389-393

1-22


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