Course:                                 MATH 3063 - 01, Introduction to Statistics - 3 semester hours                   SPRING 2006

                                               

Course Description:           A non-calculus based introductory statistics course in which descriptive statistics, probability, discrete

                                                and continuous distributions, hypotheses tests, and confidence intervals are studied. Basic coverage of regression, correlation, and proportions will be included.

 

Learning Outcomes:          Upon successful completion of this course, the students will know how to properly collect data, how to describe and analyze that data, and make inferences about the population under study based on the sample data collected. The students will also be able to calculate probabilities for discrete and continuous variables, and describe their distributions.

 

Prerequisites:                      MATH 1111 or MATH 1113 or MATH 1634 [recommended to have a “C” in one of these courses]

 

Instructor:                            Mr. Jim Bellon     jbellon@westga.edu    office phone: 678) 839-4140

 

Office  & Hours:                 Boyd 316   Mon/Wed/Fri  8:30 – 9am,  Mon 1:30 – 2, (and Fri 12:30 – 1:30pm by appointment only)

**Math Tutoring Center   Mon/Wed 11 – 1, 3:30 – 5:30    Fri  11 – 12:30

 

Class Meets:                        MW        2:00 – 3:15 p.m.     Room 304 Boyd Building

                                               

Text:                                       Statistics, 10th Edition, McClave & Sincich [Pearson/Prentice Hall]

A programmable graphing calculator is required, preferably the TI-83.

You must also be able to use a spreadsheet in Microsoft Excel.

 

Grading:                                There will be 3 class session tests (100 pts each), 1 project (150 pts), a comprehensive Final exam (250 pts), 10+ quizzes (best 8 will count for 25 pts each, for 200 pts). HW (best 4 will count for 25 pts each, for 100 pts). This totals 1000 points.  Final grades will be determined as follows:

900 and up ( 90% and up )                A

                                                                                800 – 899    ( 80% to 89% )            B

                                                                                700 – 799    ( 70% to 79% )            C

                                                                                600 – 699    ( 60% to 69% )            D

                                                                                599 and below ( 59% and below)      F

 

Project:                                 Group project (1 to 3 students) requiring some research and calculation, to be handed in by

Monday April 24th .  Description will be handed out at a later date.

 

Quizzes:                                Expect 1 quiz every week,  lasting about 15-20 minutes. 

Quiz will cover recent material for which you’ve had the chance to ask questions.

 

Homework:                           Homework will be assigned for each textbook section.  Certain HW’s will be randomly collected throughout the semester.  The HW will be graded on effort, as well as on performance.  Your details of work, presentation and neatness will be factored in to the grade.

 

Final Exam:                           Wednesday, May 3rd    2:00 – 4:00 p.m. In our classroom.

 

Attendance Policy:              Students are expected to attend class and complete all work when assigned. A student’s grade will

not be directly affected by absence. However, the student is responsible for all material covered and assignments due whether

present or not. “I was not here” is NOT a valid excuse for missing or late assignments.

 

Last Date to Withdraw:      Thursday, March 2nd  

 


This is a tentative schedule of topics and assignments.  Changes will be made as needed.

 

Chap 1    Statistics, Data, and Statistical Thinking (1.2, 1.4, 1.9, 1.12, 1.19, 1.25, 1.29, 1.32)                      week 1

 

2.1           Describing Qualitative Data (2.1, 2.5, 2.8, 2.15, 2.20)                                                                                      week 1

 

2.2           Graphical Methods for Describing Qualitative Data (2.25, 2.28, 2.31, 2.36, 2.41)                                       week 1 & 2

 

2.3           Summation Notation (2.42, 2.45)                                                                                                                        week 2

 

2.4           Numerical Measures of Central Tendency (2.46, 2.49, 2.53, 2.55ac, 2.56, 2.59, 2.62, 2.68)         week 2

 

2.5           Numerical Measures of variability (2.72, 2.74a, 2.75c, 2.76d, 2.79, 2.84)                                      week 3

 

2.6           Interpreting the Standard Deviation (2.86, 2.90, 2.97, 2.101)                                                                         week 3

 

2.7           Numerical Measures of Relative standing (2.107, 2.110, 2.115, 2.117)                                                         week 3

 

2.8           Methods for Detecting Outliers (2.123, 2.125, 2.128)                                                                                      week 4

 

2.9           Graphing Bivariate Relationships (2.138, 2.139, 2.146)                                                                   week 4

 

2.10*       Distorting the Truth with Descriptive Techniques                                                                                        week 4

 

                TEST #1                                                                                                                                                                Wed Feb 8th

 

3.1           Events, Sample spaces & probability (3.8, 3.9b, 3.10, 3.13, 3.15, 3.16, 3.22, 3.27, 3.31)                              week 5

 

3.2           Unions and Intersections (3.38, 3.40, 3.43, 3.49, 3.53, 3.56)                                                                           week 6

 

3.3           Complementary Events (same as from sec 3.2 above)                                                                                   week 6

 

3.4           Additive Rule & Mutually exclusive events (same as from sec 3.2 above)                                                week 6

 

3.5           Conditional Probability (3.57, 3.60, 3.62, 3.65, 3.69, 3.76, 3.82, 3.91)                                                             week 6

 

3.6           Multiplicative Rule & Independent events (same as from sec 3.5 above)                                                  week 6

 

3.7           Random Sampling (3.96, 3.99, 3.102)                                                                                                 week 6

 

4.1           Two Types of random variables (4.4, 4.8)                                                                                                        week 7

 

4.2           Probability Distributions for Discrete Variables (4.9, 4.11, 4.18, 4.25)                                                          week 7

 

4.3           Expected Values of Discrete Variables (4.31, 4.36, 4.40, 4.43)                                                                        week 7

 

4.4           Binomial Variables (4.46, 4.47, 4.49ae, 4.51af, 4.52b, 4.57, 4.62, 4.67 )                                                           week 7

 

4.5*         Poisson variables (4.72, 4.75, 4.80, 4.84)                                                                                                           week 7

 

5.1           Continuous Probability Distributions                                                                                                              week 8

 

5.2           The Uniform Distribution (5.3, 5.8, 5.13, 5.16)                                                                                  week 8

 

5.3           The Normal Distribution (5.22, 5.25, 5.28adf, 5.33, 5.36, 5.41, 5.47 )                                                              week 8

 

5.4           Descriptive methods for Assessing Normality (5.53, 5.58, 5.65)                                                  week 8

 

5.5           Normal Approximation to the Binomial (5.68, 5.71, 5.76, 5.81, 5.84)                                                              week 9

 

TEST #2                                                                                                                                                Wed  March 8th

 

 

6.1           The Concept of a Sampling Distribution (6.5, 6.6)                                                                                          week 10

 

6.2           Properties of Sampling Distributions (6.14, 6.19)                                                                                            week 10

 

6.3           Central Limit Theorem (6.27, 6.30, 6.36, 6.39, 6.43)                                                                                          week 10

 

7.1           Target Parameter for single samples                                                                                                                 week 10

 

7.2           Large-sample Confidence Interval (7.2, 7.7, 7.8, 7.10, 7.13, 7.18, 7.23)                                                          week 10

 

7.3           Small-sample Confidence Interval (7.29, 7.31, 7.35, 7.40, 7.41)                                                      week 11

 

7.5*         Determining the Sample Size (7.63, 7.68, 7.73)                                                                                 week 11

 

8.1           Tests of Hypotheses (8.1, 8.15, 8.16)                                                                                                                week 11

 

8.2           Large-sample Test of Hypothesis (8.22, 8.25, 8.30, 8.35)                                                                               week 11

 

8.3           P-values (8.39, 8.44, 8.46, 8.52)                                                                                                                           week 12

 

8.4           Small-sample Test of Hypothesis (8.55, 8.56, 8.60, 8.61, 8.66)                                                                       week 12

 

9.1           Target Parameter for two samples                                                                                                                     week 12

 

9.2           Comparing Two Means: Independent Sampling (9.4, 9.7, 9.12, 9.15, 9.28)                                  week 13

 

TEST #3                                                                                                                                                Wed  April 12th

 

9.3           Comparing Two Means: Paired Differences (9.34, 9.39, 9.44)                                                                       week 14

 

11.1         Probabilistic Models (11.5, 11.6, 11.9)                                                                                                               week 14

 

11.2         Least Squares Approach (11.14, 11.25)                                                                                                            week 14

 

11.3*       Model Assumptions                                                                                                                                           week 14

 

11.4*       The estimator of population variance (11.33, 11.40)                                                                                       week 15

 

11.5*       Inferences about slope of beta-1 (11.47, 11.52)                                                                                               week 15

 

11.6         Coefficient of Correlation (11.62abc, 11.64, 11.69a)                                                                                        week 15

 

11.8         Using Model for Estimation and Prediction (11.82, 11.85, 11.89, 11.90)                                                       week 15

 

 

Notes:    the tests will be on the dates noted above. 

They will cover whatever material has been completed one week prior to that date, and has not been tested yet.

The final will include material from every chapter of which you will have choices of which topics to answer.

However, you must do some questions from material covered after test #3.  Details will be explained later.

 

 

The sections marked with “*” are sections that may be eliminated if time constraints warrant such.