STAT 515 - 03, 04   Statistics I,   Spring 2019

Instructor Information
Jianyu Chen
Visiting Assistant Professor
Department of Mathematics and Statistics
Lederle Graduate Research Tower 1030
University of Massachusetts, Amherst
Email: jchen@math.umass.edu
Phone: 413-545-7702

Class information

Lectures: Lederle Grad Res. Ctr (LGRC) A201 on Tuesday and Thursday

Section 03: 2:30PM - 3:45PM
Section 04: 1:00PM - 2:15PM

Office hours: TuTh 12:00 PM - 1:00 PM, or by appointment.
Discussion Sections

Monday: 4:00pm - 5:00pm, LGRT 147, Jung Wun Lee

Tuesday: 4:00pm - 5:00pm, LGRT 204, Jung Wun Lee

Wednesday: 4:00pm-5:00pm, LGRT 204, Jung Wun Lee

Thursday: 4:00pm - 5:00pm, LGRT 204, Jung Wun Lee

Friday: 4:00pm-5:00pm, LGRT 204, Jung Wun Lee
Lecture Notes

STAT515 Lecture (will be updated from time to time)
Textbook

Mathematical Statistics with Applications, Authors: Wackerly, Mendenhall, Schaeffer (ISBN-13: 978-0495110811), Edition: 7th. (This is NOT the international edition-if you are using the international edition, you need to always consult for your homework assignments with the library copies on reserve).
Prerequisites

Two semesters of single variable calculus (Math 131-132) or the equivalent, with a grade of "C" or better in Math 132. Math 233 is required for this course. However, some necessary concepts for multiple integration or partial derivatives will be re-introduced in the course as needed.
Grading

Final Exam - 25%,   Midterm 1 - 20%,   Midterm 2 - 20%,   Homework - 35%.

Grading scale: A 90-100, A- 87-90, B+ 83-87, B 79-83, B- 75-79, C+ 71-75, C 67-71, C- 63-67, D+ 59-63, D 55-59, F 0-55.
Homework

There will be weekly homework. Discussion of homework and practice problems with fellow students is encouraged but you must submit your own work. The weekly homework will be typically of two types:

(a) Online homework on Webwork

If you are in Section 03, log in https://webwork.math.umass.edu/webwork2/S19_STAT_515_3/
If you are in Section 04, log in https://webwork.math.umass.edu/webwork2/S19_STAT_515_4/

The default username is your SPIRE username, and the default password is your 8 digit UMass SPIRE ID number. Please change your password on your first login, at the item "Password/Email" on the left panel of webwork interface.

Online HW 1: HowToUseWebwork (optional, would not be counted for online HW grade)

Online HW 2: due Thursday, Feb 21.

Online HW 3: due Thursday, Feb 28.

Online HW 4: due Thursday, Mar 7.

Online HW 5: due Thursday, Mar 28.

Online HW 6: due Monday, April 4.

Online HW 7: due Tuesday, April 9.

Online HW 8: due Thursday, April 18.

Online HW 9 (HW 10 in Webwork): due Thursday, April 25.

Online HW 10 (Review in Webwork): due Thursday, May 2.

(b) Written homework: assigned every Thursday, and collected in class the next Thursday

Written HW 1 (due Thursday, Jan 31): Exercises 2.3, 2.5, 2.7, 2.8, 2.11, 2.12, 2.16, 2.19, 2.23, 2.30, 2.33

Written HW 2 (due Thursday, Feb 7): Exercises 2.43, 2.61, 2.68, 2.75, 2.77, 2.82, 2.88, 2.95, 2.102, 2.104

Written HW 3 (due Thursday, Feb 21): Exercises 2.72, 2.96, 2.111, 2.115, 2.116, 2.120, 2.121, 2.124, 2.128, 2.133

Written HW 4 (due Thursday, Feb 28): Exercises 3.12, 3.15, 3.19, 3.22, 3.38, 3.41, 3.57, 3.60, 3.70, 3.71

Written HW 5 (due Thursday, March 7): Exercises 3.103, 3.106, 3.118, 3.122, 3.127, 3.128, 3.138, 3.141

Written HW 6 (due Thursday, March 28): Exercises 4.13, 4.16, 4.19, 4.20, 4.25, 4.26, 4.30, 4.51, 4.52, 4.57

Written HW 7 (due Thursday, April 4): Exercises 4.63(a), 4.64(a), 4.66(a), 4.67, and the six problems in this problem sheet .
In stead of using tables for the probabilities of Normal distributions and Gamma distributions, you could use the following online calculators:       Normal distribution       Gamma distribution

Written HW 8 (due Thursday, April 18): Problems (except Problem 6) in the problem sheet .

Written HW 9 (due Thursday, April 25): Exercises 6.2, 6.10, 6.26, 6.35, and the four problems in this problem sheet .

Written HW 10 (due Tuesday, April 30): Two problems in this problem sheet .



NOTE: I will not accept late homework. Two lowest written homework scores will be dropped.
Exams

Midterm 1: Thursday, March 7, 7-9PM. Room: MOR20131.
Material for Midterm 1: Chapter 2 and Chapter 3, 3.1-3.8.
Midterm 1 Solutions

Midterm 2: Wednesday, April 10, 7-9PM. Room: GSMN0064.
Material for Midterm 2: Sections 3.9, 3.11, 4.1-4.10, 5.1 - 5.6. Note that moment generating functions (sections 3.9 and 4.9) are defered to the final.
Midterm 2 Solutions

Final Exam: Tuesday, May 7, 1-3PM, at Boyden Phys. Ed. Gym.
Material for Final Exam : Sections 5.8-5.11, 6.1-6.5, 7.1-7.3, 7.5, however students are expected to know the Moment Generating Functions material from Sections 3.9 and 4.9 (and all worked out examples therein).

NOTE: Make-up exams will only be given in the case of family or medical emergency. Both situations will require official documentation. No make-up exams will be given for any other reason.
Course Policy

If you have a University-approved conflict (see the link in this paragraph) with an exam, you must let your instructor know at least two weeks before the exam. A make-up exam might be scheduled to take place shortly after the regularly scheduled exam. If so, the make-up exam will be different than the original but cover the same material. You will need to fill out the following sheet signed by the Registrar's office, explaining to your instructor why you are entitled to a make-up. Make sure to not book any travel during exams, including the snow-make-up date for the final. Travel is not an excuse to miss the exam. If a last-minute emergency occurs after the two-week deadline, you will need to present to your instructor a note either from your medical provider for medical emergencies or from the Office of the Dean of Students for non-medical emergencies. If a last-minute emergency occurs after the two-week deadline, you will need to present to your instructor a note either from your medical provider for medical emergencies or from the Office of the Dean of Students for non-medical emergencies.
Class Material by Section

Chapter 2: All sections.
Chapter 3: 3.1 - 3.9, 3.11
Chapter 4: 4.1-4.10
Chapter 5: 5.1 - 5.8, 5.11
Chapter 6: 6.1-6.5
Chapter 7: 7.1 - 7.3, 7.4 (optional), 7.5
Tentative Weekly Schedule

  • Week 1: Review syllabus, 2.1-2.5 Introduction, set theory, axioms of probability
  • Week 2: 2.6-2.9, Probability and counting, laws of probability I
  • Week 3: 2.10-2.12, laws of probability II, random variables
  • Week 4-5: 3.1-3.3, discrete random variables I
  • Week 6: 3.4 - 3.9, 3.11, discrete random variable II, moment generating function, Chebyshev's inequality
  • Week 7: 4.1 - 4.7
  • Week 8, Midterm I, 4.8-4.10
  • Week 9, 5.1, 5.2, moment generating function and Chebyshev's inequality for continuous random variables, multivariate random variables.
  • Week 10, 5.3-5.6, marginal and conditional distribution, independence
  • Week 11, 5.7-5.9, 5.11, covariance, sum of random variables, conditional expectation
  • Week 12, Midterm II, Review for Midterm II, 6.1, 6.2, 6.3, functions of random variables I
  • Week 13, 6.4-6.5, 7.1, functions of random variables II, sampling
  • Week 14, 7.2, 7.3, 7.5, central limit theorem and sampling
  • Week 15, Review for Final
  • Old Exams

    Below are various exams, without solutions, from Stats 515 in previous semesters. Note that the format, such as number of problems, varies. This is because the course chair also varies. Moreover, the exams dates are not always at the same point in the semester. So for example, some material on midterm 1 from one class might appear on midterm 2 of another class.

  • STAT 515 Spring 2019 Midterm One Review Problems and Review Problems Solutions
  • STAT 515 Spring 2019 Midterm Two Review Problems for Mid 2 and Review Problems for Mid 2 Solution
  • STAT 515 Spring 2019 Final Exam Review Problems and Review Problems Solutions. Please also try Fall 2016 Final and Fall 2016 Solutions.


  • Here is a link to the Fall 2015 Midterm 1.
  • Here is a link to the Spring 2016 Midterm 1.
  • Here is a link to the Fall 2016 Midterm 1. (in draft form)
  • Here is a link to the Spring 2017 Midterm 1. and Spring 2017 Midterm 1 Solutions. (Ignore Problems 5(c) and Problem 6)
  • Here is a link to the Spring 2016 Midterm 2.
  • Here is a link to the Fall 2016 Midterm 2.
  • Here is a link to the Spring 2017 Midterm 2.
  • Here is a link to the Fall 2015 Final.
  • Here is a link to the Spring 2016 Final.
  • Here is a link to the Fall 2016 Final and Fall 2016 Solutions
  • Here is a link to the Spring 2017 Final. and Spring 2017 Solutions.