MATH 201

ELEMENTS of STATISTICS and PROBABILITY

Tuesday and Thursday  8:00 to 10:15 AM    Room E 100           5 UNITS

Instructor Larry Green

Office Phone Number  541-4660 Extension 341

Internet

 

Required Text Understandable Statistics Seventh Edition  by Brase/Brase

Course Description This course will cover data analysis including probability, distributions, sampling, hypothesis testing, confidence intervals, regression analysis, and nonparametric analysis.

Course Objectives

  • To be able to present data in a professional manner using tables, charts, and histograms.
  • To be familiar with probability.
  • To be able to make inferences on data using confidence intervals and hypothesis testing.
  • To be able to make inferences on paired and multivariate data.
  • To be able to critically read an article that makes use of statistics.
  • To be able to use statistics effectively in a report.

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: ............................................. 150 points

Midterm 1: Jan 28 ....................................150 points

Midterm 2: Feb 20   .................................150 point

Midterm 3: Mar 20   ................................ 150 points 

Project: Mar 18   ..................................... 100 points

Final Exam: Mar 27   ..............................   300 points

 

Exam Policy Students are to bring calculators, pencils or pens, and paper to each 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. Any student who cannot make it to an exam may elect to take the exam up to two days before the exam is scheduled. 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.   Homework that is turned in within one week of the due date will be counted as half credit. Homework may be turned later than one week after the due date, but points will not be awarded.

 

Daily Quizzes  The first five minutes of each class, there will be a quiz that covers the main point from the previous  lecture.  Each quiz will count as 20% of the homework grade.  Quizzes cannot be made up.

 

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.  Extra credit assignments will be discussed on an individual basis during office hours.

 

Project Each student in the class will develop a hypothesis that involves paired data. The student will collect and analyze the data in a report.  The report will discuss 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. The abstract is a one paragraph description of the project.  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, January 31.

3. After January 31, you may drop the class and receive a grade of W until Friday, March 7.

4. After March 7, 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.

 


OFFICE HOURS:

Room A210

Monday, Wednesday, Friday .......………….. 10:00 to 11:00 

Tuesday…….................................................... 10:30 to 11:30 (In GMC)

Thursday……................................................... 11:30 to 12:30  (In GMC)


CALCULATORS: A calculator with square root capability is required, although one with built-in statistics functions will prove useful.

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).  

HOMEWORK ASSIGNMENTS

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

Date    Section  Topic                                                       Exercises

1-7         Introductions        Current Event

1-9        Current Event

           1.1       What is Statistics?                                       1,4,7
            1.2         Random Samples                                       1,9,10,15
            1.3         Experimental Design                                   1,3,6

        Random Number Applet

 

1-14       Current Event

            2.1         Bar, Circle, and Time Plots                           1,4,7,11,13
            2.2         Histograms                                                   2,5,8,14
            2.3        Stem and Leaf                                               2,7,12

1-16    3.1        Mode, Median, and Mean                             3,7,10,16
           3.2        Measures of Variation                                    2,5,16
           3.3        m and s for Grouped Data                             2,6,11
                        Current Event

 

1-21     3.4        Percentiles and Boxes                                    3,8,11,15
            4.1
         Probability                                                     7,11,15
            4.2         Probability Rules                                            1,14,18,25
            Current Event

1-23     4.3         Trees and Counting                                        5,12,25,28
            5.1
          Random Variables and Distributions               1,6,14
            5.2          Binomial Probabilities                                     4,15,18
            Current Event

 

1-28            Midterm 1        Chapters 1,2,3,4, 5.1, 5.2
            Current Event   

1-30       6.1        The Normal Distribution                                  2,9,10,14,15
              6.2         Area Under the Standard Normal Curve          1,4,7,33,40

        Current Event

 

2-4       6.3         Area Under a General Normal Curve                  3,10,13,16,19,26,33,36
            6.4         Binomial and Normal Distributions                       1,4,9,12,15
                    Current Event

2-6       7.1        Sampling Distributions                                          2,3,4
            7.2         The Central Limit Theorem                                  5,8,13,16
            7.3         Distributions for Proportions                                3,6,11

                    Current Event

 

2-11      8.1         Estimating m                                                        2,6,7,11,14
             8.2          Small Samples                                                    5b,8b,9b,13b

            Current Event

     
2-13       8.3        Estimating p                                                         1,6,9,12,17
              8.4         Choosing the Sample Size                                    1,6,11,14,20
            Current Event

 

2-18     8.5           Two Sample Differences                                     3,6,9,13,18
             9.1           Hypothesis Testing                                              2,3,5,6,7
            Current Event

2-20         Midterm II         Chapters 6,7,8, 9.1
        Current Event  More on Event

 

2-25     9.2        Hypothesis Tests For m                                      1,4,7,10,13
                Current Event

 

2-27     9.3         P-Values                                                           1,4,5,6,9
             9.4         Small Sample Hypothesis Tests                          2,5,8,11,12
            Current Event

 

3-4        9.5          Hypothesis Tests for p                                       1,4,7,11,14
             9.6          Tests with Paired Differences                            1,4,8,11,14
                        Current Event

3-6       9.7          Independent Samples                                       2,5,10,15,21
            10.1        Paired Data and Scatter Plots                            2,3,6,9,12,14
                        Current Event

 

3-11     10.2         Linear Regression                                             1,6,11,14 
            10.3         Correlation                                                         1,6,11,14
             
                Abstract Due
                        Current Event

3-13     11.1          Chi-Square                                                        1,4,5,8
                        Current Event

                       

3-18   11.2               Goodness of Fit                                              1,4,7,10
                    Current Event
           Project Due

3-20    Midterm III        Chapters 9, 10.1, 10.2, 10,3, 11.1, 11.2

 

3-27   Comprehensive Final Exam 8:00 - 10:00


HOW TO SUCCEED IN A MATH CLASS

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