MTH23 Syllabus

SYLLABUS:	MTH 23 PROBABILITY and STATISTICS
PREREQUISITE:	MTH 04 or equivalent; corequisite ENG 02 and/or RDL 02, if required.
TEXT:	Understanding Basic Statistics by Charles Brase and Corinne Brase, Houghton Mifflin Co. (3rd Edition, ISBN 0-618-4368-8X)
CALCULATORS:	Calculator that perform two-variable statistical operations is required. The Sharp model EL-531R is recommended.

Suggested Homework
CHAPTER SECTION TOPIC Pages PROBLEMS

1. Getting Started 1.1 What is statistics? 10-11 1-9

1.2 Random Samples 17-18 1-10

2. Organizing Data 2.1 Statistical Graphs 44-45 1-10

2.2 Frequency Distributions and Histograms 55-59 1-12

2.3 Stem-and-Leaf Displays 65-69 1-10

3. Averages and Variation 3.1 Measures of Central Tendency 86-88 1-12

3.2 Measures of Variation 98-101 1-9

3.3 Percentiles and Box-and-Whisker Plots 112-114 1-10

4.Regression and Correlation 4.1 Introduction to Paired Data and Scatter Diagrams 130-132 1-12

4.2 Linear Regression 142-145 1-10

4.3 The Linear Correlation Coefficient 155-157 1-10

5. Elementary Probability 5.1 What is Probability? 173-175 1-11

5.2 Some Probability Rules: Compound Events 188-190 1-15

6. The Binomial Probability Distribution 6.1 Introduction to Random Variables and Probability Distributions 221-225 1-12

6.2 Binomial Probabilities 234-236 1-12

6.3 Additional Properties of the Binomial Distribution 242-245 1-9

7. The Normal Distribution 7.1 Graphs of Normal Probability Distribution 268-281 1-12

7.2 Standard Units and Areas Under the Standard Normal Distribution 284-286 1-48

7.3 Areas Under any Normal Curve 295-296 1-26

7.4 Normal Approximation to the Binomial Distribution 303-304 1-8

8. Introduction to Sampling Distributions (optional) 8.1 Sampling Distributions 321 1-9

8.2 The Central Limit Theorem 328-329 1-8

9. Estimation 9.1 Estimating μ with Large Samples 349-353 1-12

9.2 Estimating μ with Small Samples 360-362 1-10

9.3 Estimating p in the Binomial Distribution 371-372 1-8

9.4 Choosing the Sample Size 378-379 1-8

10. Hypothesis Testing 10.1 Introduction to Hypothesis Testing 399-401 1-8

10.2 Tests Involving the Mean μ (Large Samples) 412-414 1-10

10.3 The P Value in Hypothesis Testing (optional) 423-424 1-9

10.4 Tests Involving the Mean μ (Small Samples) 433-434 1-8

10.5 Tests Involving a Proportion (optional) 440-442 1-9

CHAPTER	SECTION	TOPIC	Pages	PROBLEMS
1. Getting Started	1.1	What is statistics?	10-11	1-9
1. Getting Started	1.2	Random Samples	17-18	1-10
2. Organizing Data	2.1	Statistical Graphs	44-45	1-10
	2.2	Frequency Distributions and Histograms	55-59	1-12
	2.3	Stem-and-Leaf Displays	65-69	1-10
3. Averages and Variation	3.1	Measures of Central Tendency	86-88	1-12
	3.2	Measures of Variation	98-101	1-9
	3.3	Percentiles and Box-and-Whisker Plots	112-114	1-10
4.Regression and Correlation	4.1	Introduction to Paired Data and Scatter Diagrams	130-132	1-12
	4.2	Linear Regression	142-145	1-10
	4.3	The Linear Correlation Coefficient	155-157	1-10
5. Elementary Probability	5.1	What is Probability?	173-175	1-11
5. Elementary Probability	5.2	Some Probability Rules: Compound Events	188-190	1-15
6. The Binomial Probability Distribution	6.1	Introduction to Random Variables and Probability Distributions	221-225	1-12
	6.2	Binomial Probabilities	234-236	1-12
	6.3	Additional Properties of the Binomial Distribution	242-245	1-9
7. The Normal Distribution	7.1	Graphs of Normal Probability Distribution	268-281	1-12
	7.2	Standard Units and Areas Under the Standard Normal Distribution	284-286	1-48
	7.3	Areas Under any Normal Curve	295-296	1-26
	7.4	Normal Approximation to the Binomial Distribution	303-304	1-8
8. Introduction to Sampling Distributions (optional)	8.1	Sampling Distributions	321	1-9
8. Introduction to Sampling Distributions (optional)	8.2	The Central Limit Theorem	328-329	1-8
9. Estimation	9.1	Estimating μ with Large Samples	349-353	1-12
	9.2	Estimating μ with Small Samples	360-362	1-10
	9.3	Estimating p in the Binomial Distribution	371-372	1-8
	9.4	Choosing the Sample Size	378-379	1-8
10. Hypothesis Testing	10.1	Introduction to Hypothesis Testing	399-401	1-8
	10.2	Tests Involving the Mean μ (Large Samples)	412-414	1-10
	10.3	The P Value in Hypothesis Testing (optional)	423-424	1-9
	10.4	Tests Involving the Mean μ (Small Samples)	433-434	1-8
	10.5	Tests Involving a Proportion (optional)	440-442	1-9