Syllabus          Math 118: Introduction to Statistics       Spring 2012

Margaret Menzin         Office:S209                                                                          Phone: X2704
                                         Email: menzin@simmons.edu             Home Phone: 781-862-5107

                                         Office Hours: Mon 7:15-8:00; and 10:00-4:00
                                                                   Wed 7:15-8:00 and 1030-3:30;
                                                                   Fri 7:15- 8:;00; and 10:00-11:20 and often after 1:30

                                          Note: I am also usually available after 5:00 on Mondays and some Wednesdays after 3:30 and
                                                    sometimes later on Fridays.
                                                    The Mathematics, Statistics and Computer Science Department eats at Bartol on Fridays
                                                    at 11:30. We hope you will join us.


Organization of the course

Texts: DeVeaux, Velleman and Bock: Intro Stats 3rd Edition Package (with myStatsLab) (referred to as DVB)
            McKenzie &Goldman The Student Edition of Minitab Release 14 (referred to as MG)

This course has three meetings in an integrated classroom and lab each week. Absence from class_lab is occasionally unavoidable, but is strongly discouraged. When you come to class_lab you should have with you a writable thumbnail, CD or other storage device, or be comfortable using the Student Drive, and also bring both text books (including the CDs which come in them).

If you need a new calculator then I recommend that you have a 2-variable calculator, such as the Sharp 531-V (which the bookstore carries). If you already own a graphing calculator, then there is no reason to buy another calculator, but you should make sure that you also the instruction booklet.

My own personal preference is to use a computer for all calculations which involve significant inputting of data and a handheld-calculator (which must include square roots) only for very short calculations.

There will be exams at the end of chapters 10, 17, and 22 and a final; there may be team projects.

 

It is critical that you do homework as assigned. Problems always look do-able, but when you start to do them, and compare your work with the answers in the back you may uncover gaps in your understanding. You should spend about 3 hours on homework for every hour of class time. I usually ask for questions on homework and the reading at the start of each class, but if I do not ask, please bring up any problems you had trouble with.

Students with Disabilities: Reasonable accommodations will be provided for students with documented physical, sensory, systemic, cognitive, learning, and psychiatric disabilities. If you have a disability and anticipate that you will need a reasonable accommodation in this class, it is important that you contact the Academic Support Center Director at 617.521.2471 early in the semester. Students with disabilities receiving accommodations are also encouraged to contact their instructors within the first 2 sessions of the semester to discuss their individual needs for accommodations."

 

Syllabus

You are about to start the study of statistics: a wonderful, beautiful, and extraordinarily useful way to look at the world. Every day, in every discipline, we are presented with data. The data may be numerical ( SAT scores for all seniors at a particular high school, or survival rates for people diagnosed with a particular cancer) or qualitative (choice of major for graduating seniors at Simmons College class of 2012 or numbers of people renting cars at Logan by size of car (subcompact, compact, etc.). It may be one set of data, as in the above examples, or it may be comparative (SAT scores this year vs. 10 years ago, survival rates for cancer with different methods of treatment). The first thing we will look at is how to describe the data, and the relationships among data. We will use charts, tables and pictures, as well as numbers (numbers to describe the strength of a relationship, numbers to describe the central tendency of your data, and numbers to describe how variable your data is). This part of statistics is called descriptive statistics. The material is found in Chapters 1-10 of DVB. There is a test at the end of Chapter 10.

After discussing how to describe data, we will turn to the production of data and design of experiments and sampling distributions. You will learn how to use the natural variability of data to design your experiment so that your results are meaningful. For example, how large a sample do you need for your purposes? The material for this section is found in Chapter 11- 15 and 18 of DVB and in handouts. There is a test at the end of this material.

The last and major part of the course is inferential statistics. Here we learn how to make inferences about an entire population (all adult women in the U.S.) based on the information we learn from a random sample of some women (say 100 women). For example, if 37 of our 100 women are left handed what is a reasonable estimate for the proportion of left-handed women in the U.S. (e.g. between 34% and 40% are left-handed), and how do we determine how large an interval we need for our estimate. If a random sample of 100 men has 40 lefties, what can we say about the proportion of lefties among men and women? The material is found in Chapters 18-25 of DVB. There is a test about half way thru this material.

As time allows we explore other topics in the last chapters of DVB.

There is a final exam.

While exams in this course are not explicitly cumulative, the material in the course builds on itself.
If you do not understand a topic it behooves you to ask about it so that you can use the material in later parts of the course.

Learning goals for the course

  1. Students will be able to identify the various types of variables, and be able to describe data using appropriate statistical language, quantitative measures, tables and graphs. They should also be able to perform basic manipulations on univariate and bivariate variables in Minitab so as to display and further interpret appropriate characteristics of variables (center, spread, skewness, etc.) and relationships among variables.

  2. Students will be able to find percentiles from the area under a Normal distribution and vice versa, and they will be able to explain, in context, what they have found.

  3. Students will be able to use Minitab to examine scatterplots, know when it is appropriate to use a linear regression model, and will be able to find the regression equation and line, use them for predicitions, and know how to examine and interpret residuals.

  4. Students will understand the importance of randomness in design of experiments, and how a random sample allows us to generalize from a sample to a population. They will understand the difference between association and causation, and they will be able to identify potential confounding variables. Students will be able to distinguish between observations and experiments and be able to design simple experiments with an appropriately sized random sample.

  5. Students will be able to explain the difference between confidence intervals and hypothesis testing and to explain the logic behind each. Students will be able to identify what kind of hypothesis test is appropriate (one-sided vs two-sided, two populations vs. matched pairs, etc.), know when their data is inadequate to merit using basic tests. They will able to perform the tests (when appropriate), compute and interpret p-values and describe their conclusions using proper statistical language. They will understand the difference between Type I and Type II errors and be able to re-phrase them in the context of a specific example.



  6. Math 118: Homework

    In addition to the HW listed below there will be handouts both for class (lab) and for HW.
    All handouts are posted in eLearning

    Unit 1 - Descriptive Statistics:
                 Chapters 1 - 10 of DVB

    Note: All assignments are from DVB unless otherwise noted. Homework will also be assigned from handouts.
    In addition to problems in DVB noted as "lab" problems, other problems will be handed out or assigned from DVB in lab.

    As is common in math books, many (almost all) the problems have answers in the back. You should check your work with the answer in the back.
     

    Chapter 1

    Chapter 1 HW Problems There are none.
                   Before Lab:For the first lab: McKenzie & Goldman (MG) : Browse Tutorial 0; Read Tutorials 1 and 3 before lab.
                   NOTE: As lab is on the first day of class you will have to do this after and during lab.

     

    Chapter 2

    Chapter 2 HW - #7, 10, 18, 23
                   In lab #5, 9, 11, 17

     

    Chapter 3

    Chapter 3 HW - #3 (once from a popular publication and once from a professional one), 10, 12, 20,25, 29, 31
                   Before Lab: For the second lab, finish MG Tutorials 0, and 1;
                                  Read carefully Tutorials 3 and 4 (which corresponds to BVD Chapters 3 and 4).
                                  Please be meticulous on Tutorial 3, which has a lot of material.
                                  Then browse MG Tutorials 2. before lab.
                   In Lab # 5, 9, 11, 19, 30 , 32 and handouts

     

    For Chapters 4 - 5 of BVD you should work thru the Lab Manual (MG) Tutorials 3 (2nd half) and 4.
    Tutorial 2 covers data manipulation and is useful throughout the course. You should work through it now and again when we study Chapter 10.

    Chapter 4

    Chapter 4 HW: #7, 11, 12, 24, 33, 35, 47 and 49 and handout on Simpson's paradox and other problems
                    In lab #7, 23, 28, 37, 42, 51, 53, 55 and handouts

     

    Chapter 5

    Chapter 5 HW: #8, 11, 12 to 15, 17, 33, 35, 38, 40 to 41, 46 ;
                    In lab #9, 16, 20,0, 24, 27, 28, 36, 40, 44, 47 and handouts

     

    Chapter 6

    Chapter 6 HW: #16, 25, 29 to 32, 34, 41, 43 and optionally 59 and 60;
                     In lab: #6, 7, 23, 25, 27, 36, 40, 47 and handouts

     

    Part I Review

    Part I Review HW: #9, 12, 15-18, 23, 26, 28, 30
                     In lab: #33, 35, 40

     

     

    For Chapters 7 - 9 of BVD you should work thru the Lab Manual (MG) Tutorials 4 (anything not covered earlier) and 5.
    Please note that Tutorial 5 -section 5 on covariance is not discussed in BVD.

    Chapter 7

    Chapter 7 HW: #5 to 7, 11, 21 to 24, 26, 29, 31 to 33, 44 and handouts;
                    In lab #12, 14, 26 to 28, 31, 32 , 43

     

    Chapter 8

    Chapter 8 HW: #13, 15, 19, 22, 26, 29, 31, 33, 38, 44, 46, 55, 56, 61
                     In lab #14, 16, 20, 24, 26, 28 and handouts

     

    Chapter 9

    Chapter 9 HW: #1, 2, 4, (optionally 11), 15, 18, 22, 24, 29
                     In lab #11, 29, 33, 35, 36 and handouts

     

    Chapter 10

    Chapter 10 HW: #7 to 10, 12, 13, 27
                     In lab #8, 19, 23, 25

     

    Part II Review

    Part II HW: #1, 3-4, 7, 13, 16-18, 22-23, 31, 35 (optional 8-9)
                     In lab: #2, 6, 10, 12, 19, 28, 32, 40

     

    Test at the end of Chapter 10

     

     

    Unit 2 - Design of Experiments and Sampling Distributions
                 Chapters 11 - 15 and 18 of DVB

    Please read Tutorial 5 of the Lab Manual (MG) before coming to lab.

    Chapter 11

    Chapter 11 HW: #13, 16 to 18, 21 to 23, 30 to 32, 39
                    In lab #11, 19, 2, 31, 32, 35, 36 and handouts

     

    Chapter 12

    Chapter 12 HW: #7 to 9, 12. 21, 24, 26, 28, 38 to 40
                    In lab #11-12, 15 and 19, 27-28 and handouts

     

    Chapter 13

    Chapter 13 HW: 3, 5, 7 to 14, 22 to 25, 28, 30, 38, 43 to 47, 49, 52 and you are invited to look at the Part III Review ``````````````````````````````````````````
                    In lab #2, 4, 6, 16, 18, 20, 42, 46, 50 and handouts

    Part III Review

    Part III HW: #1, 2, 5, 8, 13, 16, 22 to 24, 34, 36, 39
                     In lab: #3, 9, 15, 17, 20, 30, 35

     

    Chapter 14

    Chapter 14 HW: #1, 4, 5, 11, 14, 17, 18, 26, 28 to 30, 32, 34
                    In lab #8, 16, 20, 22, 31, 39, 43 and handouts

     

    Chapter 15

    Chapter 15 HW: #5, 6, 11, 12, 17, 25, 26, 28, 30, 41, 42, 45
                    In lab #1, 4, 9, 15, 19, 27, 29, 37, 38, 40 and handouts

     

    We will not be covering Ch. 16 or 17, although you are welcome to read them and ask me about them.

     

    Part IV Review

    Part IV HW: #6, 7, 9, 21
                     In lab: #13, 18 

    Chapter 18

    Chapter 18 HW: #1, 3, 5, 7, 12, 14, 16, 23, 24, 26 to 28, 37, 39, 48
                    In lab #2, 4, 6, 20, 29 to 31m 38, 53 and handouts

     

    Test at the end of Chapter 18

     

    Unit 3 - Inferential Statistics:
                 Chapters 18 - 25 of DVB

    Please read Tutorial 7, Section 5 of the Lab Manual (MG) before coming to lab for Chapter 19.

    Chapter 19

    Chapter 19 HW: #3, 5 to 7, 14, 18, 22, 35, 37, 40, 41
                    In lab #2, 4, 6, 11, 18, 24, 26, 28, 36 and handouts

     

    Chapter 20

    Chapter 20 HW: #1, 3, 7, 11, 16, 20, 22, 25, 36
                    In lab #2, 5, 15, 18, 21, 31 and handouts (done first)

     

    Chapter 21

    Chapter 21 HW: #5, 7, 17, 19, 25, 33, 35
                    In lab #2, 6, 12, 18, 23, 32, 34 and handouts (done first)

     

    Please read Tutorial 8, Sections 4 and 5 of the Lab Manual (MG) before coming to lab for Chapter 22.

    Chapter 22

    Chapter 22 HW: #5, 8, 12, 15 to 18, 35
                    In lab # 20, 22, 34, 38 and handouts

     

    Part V Review

    Part V Review HW: #3, 4, 6, 9, 13, 19, 22, 25, 28, 31, 36
                    In lab #1, 11, 15, 21, 26, 29, 33 and handouts

     

    Test at the end of Chapter 22

    Please read Tutorials 7and 8 of the Lab Manual (MG) before coming to lab for Chapter 23.

    Chapter 23

    Chapter 23 HW: #1, 7, 18, 20, 22, 33, 41 and handouts with data sets sent separately
                    In lab: handouts

     

    Chapter 24

    Chapter 24 HW: #3, 5, 7, 9, 10 and handouts
                    In lab : handouts (done first)

     

    Chapter 25

    Chapter 25 HW: #7. 8, 15 to 18, 23, 28, 34 (33 if need more practice)
                    In lab #13, 17, 19, 21, 22, 30 and handouts (done first)

     

    Part VI Review

    Part VI Review HW: #2, 5, 7, 9, 11, 14, 15-17, 20, 21, 23, 28, 30, 33
                    In lab #4, 8, 12, 18, 19, 22, 25, 26, 29 and handouts

     

    Final Exam