ELEMENTS of STATISTICS and PROBABILITY

MATH 201 -  Summer 2008

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

Class begins 6-30-08 and ends 8-07-08

Room D 108                     5 UNITS

Instructor Richard Lund

Phone Numbers
Lake Tahoe:  541-5952  (no message machine)

Placerville:    621-1904   (message machine)

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%     B 80 -- 89%     C 70 -- 79%     D 60 -- 69%

                                                      Weighting Values

Homework: ..........................................5

Quizzes………………….…………….…5     (There will be 5 or 6 quizzes.  You must turn in at least 4)

Midterm 1: …………...........................20

Midterm 2: ………...............................20

Midterm 3:……………….……….……..20

Final Exam:  Aug 7..............................30   (The Final covers the entire course)

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.

Course Objectives
Students will be able to:
1. exhibit a proficiency in the topics covered in the course;
2. engage in logical and critical thinking;
3. read technical information; and
4. demonstrate the solution to problems by translating written language into mathematical statements, interpreting information, sketching relevant diagrams, analyzing given information, formulating appropriate math statements and checking and verifying results.

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 11.

3. After July 11, you may drop the class and receive a grade of W until Friday, July 21.

4. After July 21, 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 2008        
      Lecture subjects and sections from the book            
      Understandable Statistics, Brase & Brase, 8th edition            
  30-Jun   Introductions   Homework Problems       2
2   Mon 1.1 What is Statistics    due on the date listed       3
      1.2 Random Samples           4
    1.3 Introduction to Experimental Design           5
                  6
  1-Jul   Organizing Data            
3   Tues 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, 11, 13        
    2.3 Stem & Leaf Displays 1.3 1, 3, 5        
                   
  2-Jul   Averages and Variation            
4   Wed 3.1 Measures of Central Tendency 2.1 1, 3, 9, 11        
    3.2 Measures of Variation 2.2 1, 3, 7, 9, 15        
    3.3 Mean and Standard Deviation of Grouped Data 2.3 1, 5, 7, 13        
    3.4 Percentiles and Box & Whisker Plots            
                   
  3-Jul   Elementary Probability Theory 3.1 3, 5, 11, 15, 17, 21        
5   Thurs 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        
                   
  7-Jul   Review and Catch-up 4.1 3, 7, 11, 13, 15        
2   Mon     4.2 1, 3, 5, 7, 9, 13, 19        
        4.3 1, 5, 9, 23, 29        
                   
  8-Jul        Midterm 1    1.1 through 4.3        
3   Tues                
                   
  9-Jul 5.1 Binomial Probability Distribution and Related Topics            
4   Wed 5.2 Intro to Random Variables and Probability Distributions            
      Binomial Probabilities            
                     
  10-Jul 5.3 Additional Properties of the Binomial Distribution 5.1 1, 3, 5, 9, 15        
5   Thurs 5.4 Geometric and Poisson Prob Distribution 5.2 1, 3, 7, 9, 15, 19, 23        
                   
  14-Jul 6.1 Normal Distributions            
2   Mon 6.2 Graphs of Normal Probability Distributions 5.3 1, 3, 7, 11, 17, 19, 21        
      Standard Units and Areas under the Standard Normal Distribution 5.4 1, 3, 7, 13, 15, 19, 21, 25        
                     
  15-Jul 6.3 Areas under any Normal Curve 6.1 3, 5, 7, 9, 13, 15        
3   Tues 6.4 Normal Approximation to the Binomial Dist 6.2 3, 5, 7, 9, 13, 17, 21, 25, 31, 39        
                   
  16-Jul   Introduction to Sampling Distributions            
4   Wed 7.1 Sampling Distributions 6.3 1, 3, 5, 7, 11, 15, 23, 29, 31, 39        
    7.2 The Central Limit Theorem 6.4 3, 5, 9, 13        
    7.3 Sampling Distributions for Proportions            
                   
  17-Jul   Estimation 7.1 1, 3, 5        
5   Thurs 8.1 Estimating u when sigma is known 7.2 1, 3, 5, 9, 13, 17, 21        
    8.2 Estimating u when sigma is unknown 7.3 1, 3, 5, 7, 9, 11        
                   
  21-Jul 8.3 Estimating p in the Binomial Distribution 8.1 1, 3, 5, 11        
2   Mon 8.4 Choosing the Sample Size 8.2 1, 3, 5, 9, 11, 13, 17, 19        
    8.5 Estimating u1 - u2 and p1 - p2            
                   
  22-Jul   Review and Catch-up 8.3 1, 3, 5, 9, 17        
3   Tues     8.4 1, 3, 5, 11, 19, 21        
        8.5 1, 3, 5, 13, 19, 21        
                   
           Midterm 2    5.1 through 8.5        
                   
  23-Jul   Hypothesis Testing            
4   Wed 9.1 Introduction to Statistical Tests            
    9.2 Testing the Mean, u            
    9.3 Testing a proportion, p            
                   
  24-Jul 9.4 Tests Involving Paired Differences (Dependent Samples) 9.1 5, 7, 11, 13        
5   Thurs 9.5 Testing u1 - u2  and  p1 - p2 (Independent Samples) 9.2 1, 3, 5, 11, 15, 19        
        9.3 1, 3, 5, 15, 17        
  28-Jul   Regression and Correlation            
2   Mon 10.1 Scatter Diagrams and Linear Correlation 9.4 1, 3, 5, 11, 13        
    10.2 Linear Regression and Coefficient of Determination 9.5 1, 3, 5, 9, 15, 21        
                   
  29-Jul 10.3 Inferences for Correlation and Regression 10.1 1, 3, 5, 7, 9, 15, 17, 19        
3   Tues 10.4 Multiple Regression 10.2 1, 3, 5, 9, 19        
                   
                   
  30-Jul   Review and Catch-up 10.3 1, 3, 5, 7        
4   Wed     10.4 1, 3, 5        
                   
  31-Jul        Midterm 3    9.1 through 10.4        
5   Thurs                
                   
  4-Aug   Chi Square and F Distributions            
2   Mon 11.1 Chi Square: Tests of Independence            
    11.2 Chi Square: Goodness of Fit            
    11.3 Testing and Estimating a Single Variance or Std Dev            
                   
  5-Aug   Inferences Using the F Distribution            
3   Tues 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        
                   
  6-Aug   Catch up and Review 11.4 1, 3, 5, 7        
4   Wed     11.5 1, 3, 5, 7        
                   
  7-Aug   Final Exam   Comprehensive        
5   Thurs