MATH 201

ELEMENTS of STATISTICS and PROBABILITY

Monday through Thursday  10:30 AM to 12:50 PM 

Class begins 6-27-05 and ends 8-04-05

Room E 100                     5 UNITS

Instructor Richard Lund

Phone Numbers
Lake Tahoe:  541-5952

Placerville:  621-1904

Internet

Recommended Text Understandable Statistics Eighth edition,  by Brase & Brase

Course description This course will cover analysis of data including probability, distributions, sampling, hypothesis testing, confidence intervals, regression analysis, and ANOVA.

Prerequisite A grade of C or better in Math 154 or an equivalent class within the past two years, or a satisfactory score on the assessment test.

Grading Policy Your letter grade will be based on your percentage of possible points.

A 90 -- 100% C 70 -- 79%

B 80 -- 89% D 60 -- 69%

Homework: ..............................................50 points

Quizzes………………..………………...50 points

Midterm 1: ………….............................100 points

Midterm 2: ……….................................100 points

Final Exam:  Aug 4................................200 points

Exam Policy Students are to bring calculators, pencils or pens, and paper to each exam. A one page (standard size) front and back formula sheet may be used during each midterm, and a two page formula sheet may be used during the final exam. Grading will based on the progress towards the final answer, and the demonstration of understanding of the concept that is being tested, therefore, work must be shown in detail. If all homework assignments are turned in for the quarter, and no more than three assignments are late, then the midterm with the lowest score will be dropped.

Homework Policy The use of computers or calculators is strongly recommended. Also, feel free to consult a fellow classmate, a tutor, your instructor, or anyone else for assistance on the homework.

Extra Credit Any student who has turned in every homework assignment may elect to work on an extra credit assignment or project that will count as additional points towards either a midterm or the final.

Project – We may choose to do a project.   Each student in the class will develop a hypothesis that involves paired data. A group of several students will individually collect data to test the hypothesis. A report will be turned in that discusses the results of the test, the method of the test, and the validity of the test. The report must be more than two pages not including raw data and graphs.  Included in the report will be all applicable methods of data interpretation that we have learned in class. More details will be given in class.

Registration

1. You must register for this class at the Office of Admissions and Records.

2. You may drop the class with no penalty or mark on your record on or before Friday, July 8.

3. After July 8, you may drop the class and receive a grade of W until Friday, July 22.

4. After July 22, if you are enrolled, you will receive one of the following grades:  A,B,C,D,F or I (Incomplete, must be negotiated with the instructor and is only allowed in special cases).

In this class, it is your responsibility to drop the class in order to avoid an unwanted grade. You must go to the registrar by the above dates to avoid the unwanted grade.

 

CALCULATORS: A calculator with square root capability is required, although one with built-in statistics functions will prove useful.   The Math Dept has adopted the TI 89 as its standard.  Rental calculators are available in the library.

LEARNING DISABILITIES: If you have a learning disability, be sure to discuss your special needs with Larry. Learning disabilities will be accommodated.

TUTORING:  Tutors are available at no cost in G4 (The Gateway Math Center).  A schedule will be available shortly.

HOMEWORK ASSIGNMENTS

Lecture will always be geared towards an explanation of the topics that will be covered on the upcoming homework assignment. 

HOW TO SUCCEED IN A MATH CLASS

  1.  Come to every class meeting.
  2.  Arrive early, get yourself settled, spend a few minutes looking at your notes from the previous class meeting, and have   you materials ready when class starts.
  3.  Read each section before it is discussed in class
  4.  Do some math every day.
  5.  Start preparing for the tests at least a week in advance.
  6.  Spend about half of your study time working with your classmates.
  7.  Take advantage of tutors and office hours, extra help can make a big difference.

 

 

 

Math 201 - Introduction to Statistics

 

Summer 2005

 

 

 

Lecture subjects and sections from the book

 

 

 

 

 

Understandable Statistics, Brase & Brase, 8th edition

 

 

 

27-Jun

 

Introductions

 

Homework Problems

 

 

1.1

What is Statistics

 

due on the date listed

 

 

1.2

Random Samples

 

 

 

 

1.3

Introduction to Experimental Design

 

 

 

 

 

 

 

 

 

28-Jun

 

Organizing Data

 

 

 

 

2.1

Bar Graphs, Circle Graphs & Time Plots

1.1

1, 3, 5, 7, 9

 

 

2.2

Frequency Distributions and Histograms

1.2

3, 5, 9, 13

 

 

2.3

Stem & Leaf Displays

1.3

1, 3, 5

 

 

 

 

 

 

 

29-Jun

 

Averages and Variation

 

 

 

 

3.1

Measures of Central Tendency

2.1

1, 3, 5, 9, 11

 

 

3.2

Measures of Variation

2.2

1, 3, 5, 9, 15

 

 

3.3

Mean and Standard Deviation of Grouped Data

2.3

1, 5, 7, 13

 

 

3.4

Percentiles and Box & Whisker Plots

 

 

 

 

 

 

 

 

 

30-Jun

 

Elementary Probability Theory

3.1

3, 5, 11, 21

 

 

4.1

What is Probability

3.2

3, 5, 9, 17

 

 

4.2

Some Probability Rules

3.3

3, 5, 7, 9, 11

 

 

4.3

Trees and Counting Techniques

3.4

5, 7, 11

 

 

 

 

 

 

 

4-Jul

 

No Class

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

5-Jul

 

Midterm 1

 

 1.1 through 4.3

 

 

 

 

 

 

 

 

 

 

 

 

 

6-Jul

 

Binomial Probability Distribution and Related Topics

4.1

3, 7, 11, 13

 

 

5.1

Intro to Random Variables and Probability Distributions

4.2

1, 3, 5, 13, 19

 

 

5.2

Binomial Probabilities

4.3

1, 5, 9, 23, 29

 

 

 

 

 

 

 

7-Jul

5.3

Additional Properties of the Binomial Distribution

5.1

1, 5, 9, 15

 

 

5.4

Geometric and Poisson Prob Distribution

5.2

1, 3, 9, 19, 23

 

 

 

 

 

 

 

11-Jul

 

Normal Distributions

 

 

 

 

6.1

Graphs of Normal Probability Distributions

5.3

1, 3, 7, 17, 21

 

 

6.2

Standard Units and Areas under the Standard Normal Distribution

5.4

1, 3, 7, 13, 17, 23

 

 

 

 

 

 

 

12-Jul

6.3

Areas under any Normal Curve

6.1

3, 5, 7, 9, 13

 

 

6.4

Normal Approximation to the Binomial Dist

6.2

1, 3, 5, 7, 9, 13, 17, 21, 25, 31, 39

 

 

 

 

 

 

 

13-Jul

 

Introduction to Sampling Distributions

 

 

 

 

7.1

Sampling Distributions

6.3

1, 3, 5, 7, 11, 15, 21, 29, 31, 39

 

 

7.2

The Central Limit Theorem

6.4

3, 5, 9, 13

 

 

7.3

Sampling Distributions for Proportions

 

 

 

 

14-Jul

 

Estimation

7.1

1, 3, 5

 

 

8.1

Estimating u when sigma is known

7.2

1, 3, 5, 9, 13, 17

 

 

8.2

Estimating u when sigma is unknown

7.3

1, 3, 5, 9, 11

 

 

 

 

 

 

 

18-Jul

8.3

Estimating p in the Binomial Distribution

8.1

1, 3, 5, 11

 

 

8.4

Choosing the Sample Size

8.2

1, 3, 5, 11, 13, 17, 19

 

 

8.5

Estimating u1 - u2 and p1 - p2

 

 

 

 

 

 

 

 

 

19-Jul

 

Midterm 2

 

 5.1 through 8.5

 

 

 

 

 

 

 

20-Jul

 

Hypothesis Testing

 

 

 

 

9.1

Introduction to Statistical Tests

8.3

1, 3, 5, 9, 17

 

 

9.2

Testing the Mean, u

8.4

1, 3, 5, 11, 19, 21

 

 

9.3

Testing a proportion, p

8.5

1, 3, 5, 13, 19, 21

 

 

 

 

 

 

 

 

 

 

 

 

 

21-Jul

9.4

Tests Involving Paired Differences (Dependent Samples)

9.1

5, 7, 11, 13

 

 

9.5

Testing u1 - u2  and  p1 - p2 (Independent Samples)

9.2

1, 3, 5, 11, 15, 19

 

 

 

 

9.3

1, 3, 5, 13, 17

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

25-Jul

 

Regression and Correlation

 

 

 

 

10.1

Scatter Diagrams and Linear Correlation

9.4

1, 3, 5, 11, 15

 

 

10.2

Linear Regression and Coefficient of Determination

9.5

1, 3, 5, 9, 15, 21

 

 

 

 

 

 

 

26-Jul

10.3

Inferences for Correlation and Regression

10.1

1, 3, 5, 7, 15, 17, 19

 

 

10.4

Multiple Regression

10.2

1, 3, 5, 9, 17

 

 

 

 

 

 

 

 

 

 

 

 

 

27-Jul

 

 Midterm 3

 

 9.1 through 10.4

 

 

 

 

 

 

 

28-Jul

 

Chi Square and F Distributions

10.3

1, 3, 5, 7

 

 

11.1

Chi Square: Tests of Independence

10.4

1, 3, 5

 

 

11.2

Chi Square: Goodness of Fit

 

 

 

 

11.3

Testing and Estimating a Single Variance or Std Dev

 

 

 

 

 

 

 

 

 

1-Aug

 

Hypothesis Tests Using the Chi Square Distribution

 

 

 

 

11.4

Testing two Variances

11.1

1, 3, 5, 9, 11

 

 

11.5

One Way ANOVA: Comparing Several Sample Means

11.2

1, 3, 5, 11

 

 

11.6

Introduction to Two Way ANOVA

11.3

1, 3, 5, 7

 

 

 

 

 

 

 

2-Aug

 

Catch up and Review

11.4

1, 3, 5, 7

 

 

 

 

11.5

1, 3, 5, 7

 

 

 

 

11.6

1, 3, 5

 

 

 

 

 

 

 

3-Aug

 

Catch up and Review

 

 

 

 

 

 

 

 

 

4-Aug

 

Final Exam

 

Comprehensive