Stat 1 Syllabus
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Statistics 1 Syllabus

Section 6 (TR 9-10:15)

Spring 2001

Edited: 02/18/01

Instructor: J. Gehrmann

Office: Brighton Hall Room 127 (BRH 127)

Telephone: 278-6588 (Voice messages can be left at this number)

Email: jgehrmann@csus.edu

Office Hours: MWF 9:00-9:50 A.M., T 1:30-2:20 P.M., or by appointment

Prerequisites: Math 9 or three years of high school mathematics including two years of algebra and one year of geometry; a passing score on the ELM, and a passing score on the Intermediate Algebra Diagnostic Test.  

Web Page: Important information on material that was covered in class, homework that is due, information on upcoming examinations, and other information about the class will be posted on my web page, www.csus.edu/indiv/j/jgehrman You should check this page frequently, especially if you miss a class.

Course Objective: To introduce the fundamental notions and techniques of descriptive statistics, basic probability and sampling, confidence intervals, and hypothesis testing.  You will be given periodic writing assignments, which encourage the expression of various concepts of the course.

Learning Objectives: Interpret and -represent data in tabular, graphical, and pictorial formats.  Understand the basic principles of probability including the laws for sums, products and complementation and use these principles in problem solving situations.  Define the normal and binomial random variables, know their probability distributions, use these distributions to solve for binomial and normal probabilities, and use the normal distribution to approximate binomial probabilities.  Estimation of population parameters from data sets and use the sampling distributions to compute confidence intervals for these population parameters.  Learn the basic components of hypothesis testing and perform hypothesis tests on population means and proportions.

Textbook: Elementary Statistics Elementary Statistics (fourth edition) by Neil Weiss

Homework and Quizzes: Homework suggested below is very important and must be completed as the topics are covered in class. In working on the homework problems you will gain an understanding of the probability and statistical ideas introduced in class and explained in your textbook. To encourage you to do this homework, announced and unannounced quizzes comprised of problems like those on the homework assignments will be given throughout the semester. Also, some homework will be collected and graded. The average of these quizzes and homework will constitute 10% of your numerical score.

Examinations: Three midterm examinations will contribute between 35% and 55% to your final numerical score, and a comprehensive final examination will also contribute between 35% and 55% to your final numerical score.

Section 6 FINAL EXAMINATION: Tuesday, May 22, 8-10 A.M.

Grading: Your final numerical score will be computed from the quiz, hour examination, and final examination scores, using percentages mentioned above. Letter grades will be assigned as follows: for an A your numerical score must be from 90 to 100, for a B it must be between 80 and 89, for a C between 65 and 79, and for a D above 55.

Tentative Schedule by Topic

Introduction and Descriptive Statistics (4 classes)

Nature of Statistics--1.1 through 1.5
Sampling--1.5 and 1.6
Experimental Design 1.8
Organizing Data--2.1 through 2.6
Descriptive Measures--3.1 through 3.7

Descriptive Methods in Regression and Correlation (3 classes)

Linear Equations and The Regression Equation—4.1 and 4.2
The Coefficient of Determination—4.3
Linear Correlation—4.4

First Hour Exam (Descriptive Statistics and Regression)

Probability and Random Variables (6 Classes)

Concepts--5.1 and 5.2
Rules--5.3
Discrete Random Variables and Probability Distributions--5.4
Mean and Standard Deviation--5.5
Binomial Random Variable--5.6

The Normal Distribution (4 classes)

Definition and Normal Curves--6.1 and 6.2
Normally Distributed Populations--6.3
Normally Distributed Random Variables--6.4

Second Hour Exam (Probability,  Random Variables and The Normal Distribution)

Sampling Distribution of the Mean (3 Classes)

Sampling Error--7.1
Mean and Standard Deviation of xbar--7.2
The Sampling Distribution of xbar--7.3

Confidence Intervals for One Population Mean (6 classes)

Estimating a Population Mean--8.1
When sigma is known--8.2
Sample Size--8.3
When sigma is unknown--8.4

Third Hour Exam (Sampling Distributions and Confidence Intervals)

Hypothesis Tests for One Population Mean (6 Classes)

The Nature of Hypothesis Tests--9.1
Terms, Errors, and Hypotheses--9.2
When sigma is known--9.3
P-values--9.4
When sigma is unknown--9.5

Inferences for Population Proportions (4 Classes)

Confidence Intervals for One Population Proportion--11.1
Hypothesis Tests for One Population Proportion--11.2
Inferences for Two Population Proportions--11.3

Chi-Square Procedures--12.1 through 12.4 (2 Classes)

Comprehensive Final Exam

Suggested Homework by Section

Sections

Homework

Sections

Homework

Sections

Homework

Sections

Homework

1.2

5-8

4.1

4,5,8,10,15

7.2

20,21,25,31

12.1

1-5

1.6

31-34, 41-46

4.2

36-39,43

7.3

47,50-52

12.2

15,18,19

1.7

55,56

4.3

64,65,70,71

8.1

8.3,8.6,8.7

12.3

32-35,39

1.8

66,67,73-76

4.4

83-85,86-88

8.2

17,20,23,25,26

12.4

59,61,62,65

2.1

6-10

5.1

6,7,9,10,13,16

8.3

42,25,46,50

    

2.2

18,22,26,28,32

5.2

26,29,30,32,36

8.4

59,60,63,66,71,74

    

2.3

59,64,69

5.3

49,50,52,58,59

9.1

1-4,7-10

    

2.4

85,86,90,92

5.4

69-72,74,76,77

9.2

17,19,20,25-27

    

2.5

107,108,115

5.5

85,87,88,89

9.3

43,44,47,50

    

3.1

5,10,13,16

5.6

99,102,105,110,113

9.4

56-58,67-69

    

3.2

36,38,

6.1

3-7,11,13

9.5

87-90

    

3.3

48,50,55,61,67

6.2

25-27,31,33,34,39,41

11.1

4,5,12,16,21

    

3.4

83,88,92,94

6.3

61,64,67,70,71

11.2

41,44-46

    

3.5

108,110,114,122

7.1

1-3,9

11.3

53,58,59,62