ELEMENTS of STATISTICS and PROBABILITY

 

Math 201                                                                                               Spring, 2009

Mon/Wed/Fri                                                                                        11:00 – 12:25

Room: A211                                                                                              5 units

 

INSTRUCTOR:                    Colleen McDonough

 

PHONE NUMBER/EMAIL:   541-4660 ext. 368 / mcdonough@ltcc.edu

 

REQUIRED TEXT:              Understandable Statistics, Ninth Edition

                                                by Brase/Brase        

 

COURSE DESCRIPTION:            This course will cover data analysis including probability, distributions, sampling, hypothesis testing, confidence intervals, regression analysis, ANOVA and nonparametric analysis.

 

STUDENT LEARNING OUTCOMES:

 

1.  Design and implement an unbiased study that will produce sound statistical results.

 

2.  Generate and interpret statistics graphs from data that arise from surveys and experiments.

 

3.  Implement the rules of probability.

 

4.  Apply confidence intervals and test hypotheses to make conclusions about data that come from practical applications.

 

5.  Perform regression analysis to make informed predictions about relationships between quantitative variables.

 

Academic Dishonesty: Academic dishonesty of any form will not be tolerated.  Students caught cheating on exams or quizzes will receive a score of zero on the assignment for the first offense and a course grade of F for the second offense.   

 

CALCULATOR:       A calculator with built-in one and two variable statistics functions is required for this class.  The TI-30X IIS is one such calculator that is inexpensive. 

 

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.           

 

 

MAKE-UP POLICY:           

 

Exams and Final:  Any student who cannot make it to an exam may elect to take the exam up to two days before the exam is scheduled.  Without a proven medical excuse, a 10% per day penalty will be given for each day the exam is taken late. Make-ups are possible, however the student must contact me before the exam unless case of emergency.

 

Homework:  Late homework will be accepted for partial credit up to one week from assigned date.  A cumulative 20% penalty will be assessed for each day late. 

 

GRADING POLICY:           

 

                                                Homework*                                                   100 points

                                                Quizzes                                                          100 points

                                                Projects                                                          100 points

                                                Exam #1                                                         150 points

                                                Exam #2                                                         150 points

                                                Exam #3                                                         150 points

                                                Final                                                                250 points

 

* I will drop the lowest homework score.

 

Your letter grade will be based on your percentage of the 1000 possible points.

 

                                                A         90-100%

                                                B         80-89%

                                                C         70-79%

                                                D         60-69%

                                                F          less than 60%

 

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

Checking your grade online:

 

To retrieve your grade information online, follow these steps:

ุ         www.gradesource.com

ุ         student reports

ุ         Instructor Name: McDonough

ุ         Click on your class: Math 201 and your secret number will be given in class.

 

TUTORING:  Tutoring is available at no charge in the Math Success Center  in A201.

 

REGISTRATION:

 

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

ุ      The last day to drop the class with no record is Friday, May 1.

ุ      The last day to drop the class for a "W" grade is Friday, May 22.

ุ      After May 22, if you are enrolled you will receive some kind of grade.

 

HOW TO SUCCEED IN A MATH CLASS:

 

            1)  Come to every class meeting.

 

            2)  Arrive early, get yourself settled and be ready when class starts.  Sit 

                where you won’t be distracted.

 

            3)  Read each section before it is discussed in class.

           

            4)  Do all of the homework.

 

            5)  Do some math every day.

 

            6)  Start preparing for tests at least a week in advance.

 

            7)  Take advantage of tutors and office hours, extra help can make a difference.

 

            8)  Do some review every time you study math

 

            9)  Be willing to ask questions.

 

            10)  Take notes.

 

The final comprehensive exam is on Monday, June 22 at 10:00 a.m.

 

Tentative Schedule

 

Date        Section     Topic       

                                                         

4/6            1.1              What is Statistics?

                 1.2              Random Samples

 

4/8            1.3              Experimental Design

                 2.1              Histograms

 

4/10         2.2              Bar, Circle, and Time Plots

  2.3             Stem and Leaf

 

Date        Section     Topic       

 

4/13          3.1             Mode, Median, and Mean

                  3.2             Measures of Variation

                        Homework 1:  1.1, 1.2, 1.3, 2.1, 2.2, 2.3

 

4/15          Quiz 1 (Chapter 1 & 2)

                  3.3             Percentiles and Boxes

                  4.1             Probability

 

4/17          4.2             Probability Rules

                  4.3             Trees and Counting

 

4/20          5.1             Random Variables and Distributions

                        Homework 2: 3.1, 3.2, 3.3, 3.4, 4.1,4.2

 

4/22          Quiz 2 (Chapter 3 & 4)

                  5.2             Binomial Probabilities

                      

                 

4/24          Review

                       

 

4/27          EXAM 1 (Chapters 1, 2, ,3, 4,  5.1,  5.2)

                        Homework 3:  4.3, 5.1, 5.2

 

4/29         6.1             The Normal Distribution

                  6.2             Area Under the Standard Normal Curve

 

5/1             6.3             Area Under a General Normal Curve

 

 

5/4             6.4             Binomial and Normal Distributions

                        Homework 4:  6.1, 6.2

 

5/6           Quiz 3 (Chapter 6)

                  7.1             Sampling Distributions        

                  7.2             The Central Limit Theorem

 

5/8           7.2 Finish

                7.3               Distributions for Proportions

 

5/11         7.3              Finish

                  8.1             Estimating m (s known)

                        Homework 5:  6.3, 6.4, 7.1, 7.2

 

 

Date       Section      Topic       

       

5/13        Quiz 4 (Chapter 7)

                8.1               Finish

                8.2               Estimating m (s unknown)

 

5/15        8.3               Estimating p

                8.4              Estimating m1 - m2, p1 – p2

                       

5/18       8.4                Finish

               Review

                        Homework 6:  7.3, 8.1, 8.2

 

 

5/20        EXAM 2 (Chapter 6, 7, 8)

                        Homework 7:  8.3, 8.4

 

5/22       9.1                Hypothesis Testing

9.2               Hypothesis Tests for m

 

5/25        Memorial Day

 

5/27        9.3               Hypothesis Tests for a Proportion

                9.4               Test with Paired Differences

                        Homework 8:  9.1, 9.2

 

5/29        Quiz 5 (9.1 – 9.4)

                9.5               Independent Samples

                       

6/1          10.1             Paired Data and Scatter Plots and Linear Regression

                        Homework 9:  9.3, 9.4, 9.5

 

6/3          10.2             Correlation

               10.3             Inferences for Correlation

 

6/5          Quiz 6 (Chapter 10)  

               11.1             Chi-Square   

 

6/8          11.2           Goodness of Fit

                        Homework 10:  10.1, 10.2, 10.3, 11.1

 

6/10       Review

                       

6/12      EXAM 3  (Chapter 9, 10, 11.1, 11.2)

                        Homework 11:  11.2

Date        Section     Topic       

 

6/15       11.4             Comparing Variances and Review

               11.5             One Way ANOVA

 

6/17       11.6             Two Way ANOVA

 

6/19        REVIEW FOR FINAL

                        Homework 12:  11.4, 11.5, 11.6

 

6/22      FINAL 10:00 – 11:50


 

Homework  Assignments

 

Each section is worth 5 points (2.5 points for accuracy, 2.5 points for completion). The odd problems you will be checking yourself in the back of the book.  Be sure to use class time, office hours, and the Math Tutoring Center to get all of your questions answered.

 

Section          Problems                                                                  

 

1.1                   2, 6, 9, 12

1.2                   1, 2, 5, 14, 15, 16

1.3                   1, 3, 4, 7

2.1                   2, 6, 9, 12

2.2                   Handout, 1, 7, 11

2.3                   2, 5, 10

3.1                   3, 7, 13, 14

3.2                   2, 5, 8, 13, 16

3.3                   3, 5, 8, 9, 10

4.1                   5, 6, 7, 11, 15

4.2                   2, 5, 7,14, 18, 22, 25

4.3                   6, 9, 12, 23, 24, 25, 26

5.1                   1, 6, 11, 14

5.2                   5, 6, 10, 15, 18

6.1                   2, 3, 9, 10, 14, 15

6.2                   4, 6, 7, 8, 14, 19, 26, 33, 36, 40

6.3                   3, 10, 13, 16, 19, 26, 30, 36, 37

6.4                   3, 7, 9, 12, 13

7.1                   2, 3, 4, 5        

7.2                   1, 5, 8, 13, 16

7.3                   3, 6, 10, 11, 12

8.1                   2, 4, 5, 6, 7, 11, 15, 16

8.2                   7, 8, 9, 13, 16, 19

8.3                   3, 4, 6, 12, 16, 19

8.4                   5, 6, 9, 11, 14, 22

9.1                   2, 4, 7, 10, 13

9.2                   1, 4, 5, 6, 7, 11, 17, 22

9.3                   1, 4, 5, 7, 11, 14

9.4                   8, 9, 11, 14,17

9.5                   3, 10, 15, 24, 26, 27

10.1                2, 4, 9, 10, 13, 14, 16

10.2                7, 11, 14, 16

10.3                4, 7, 9, 10

11.1                3, 4, 5, 8, 10, 13

11.2                4, 5, 8, 15, 16

11.4                7, 10, 11

11.5                1, 6, 7 (not part b)