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)
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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 |
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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 |
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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 |
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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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