MATH 526 Applied Mathematical Statistics I

Instructor Terry Soo

610 Snow Hall

(Please put Math526 in the subject for emails pertaining to this course)

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Calendar description

A first course in statistics for students with the techniques of calculus at their disposal. The following topics are studied with illustrations and problems drawn from various fields of applications: basic notions of probability and probability distributions; classical estimation and testing procedures for one and two sample problems; chi-square test. Not open to those with credit in MATH 628 or DSCI 301. Prerequisite: MATH 122 or MATH 116.
Satisfies: N Natural Science (N) ,  NM Mathematical Sciences PC (NM)


Textbook:  Probability & Statistics for Engineers and Scientists, Walpole, Myers & Myers, Pearson, 9th edition or KU Custom Edition.


Lecture notes (Last revised 4 December 2014)

Tests and Quizzes
In class assignments 




MWF   10:00-10:50 AM   SNOW 302   LAWRENCE

Class number 19025

First day Aug 25, last day Dec 10


Office Hours


MW 11:00-12, or by appointment.




  5% Attendance exercises (done in class every Monday, Wednesday, (and for the first week, Friday)) 

  5% Homework (due every Wednesday, at the beginning of class, and it will be posted by Thursday morning.) [Worst hw will be dropped---this policy will be realized in a slightly different way:  the last hw will be for bonus marks. ]

10% Short quizzes (every Friday, no quizzes during exams, and the first week)

10% Exam 1 (Sept 12, note that Sept 15 is the last day to drop without a W)

20% Exam 2 (Oct 10)

20% Exam 3 (Nov 14, note that Nov 19 is the last day to withdraw)

30% Final


Final Examination

Tuesday, December 16, 7:30 - 10:00 am, in our usual room.

Registrars link




Attendance is mandatory.  Please read the related materials before coming to class.




The homework is a very important part of the course.  In order to do well on the tests, it is necessary to do the homework.  Every week, exercises will be assigned and a subset of those will be turned in for grading.  You should try to do as many exercises assigned or otherwise.   Sometimes exercises will be assigned in class.   Usually the short quizzes will be very similar to the exercises (turned in or otherwise).


Schedule and homework


Roughly one chapter per week.  Book readings and exercises are about one week ahead of where we are in class.


Week1 (Aug25-29): Read Chapter 1.  Do exercises 1.16, 1.17.  Read Chapter 2 (2.1-2.3).  Do exercises 2.1, 2.7, 2.15, 2.23, 2.33, 2.34, 2.39. Link to HW:  Due Wed Sept3


Week2 (Sept3-5): Read Chapter 2 (2.4-2.7).  Do exercises 2.53, 2.61, 2.72, 2.77, 2.85, 2.93, 2.95. Link to HW: Due Wed Sept10


Week3 (Sept8-12): Read Chapter 3 (3.1,3.2).  Do exercises 2.97, 3.5.  Link to HW:  Due Wed Sept17


Week4 (Sept15-19):  Read Chapter 3 (3.3, 3.4).  Do exercises 3.7, 3.17, 3.19, 3.27, 3.29, 3.35, 3.39,3.43, 3.45.  Link to HW: Due Wed Sept24


Week5 (Sept22-26):  Read Chapter 4 (4.1, 4.2, 4.3, 4.4).  Do exercises 4.5, 4.7, 4.13, 4.17, 4.41,4.43,4.48, 4.59,4.69.  Link to HW: Due Wed Oct1


Week6 (Sept29-Oct3):  Link to HW:  Due Wed Oct 8


Week7 (Oct6-Oct10):  Read Chapter 5 (5.1, 5.2, 5.5).  Do exercises 5.1, 5.25,5.27,5.65,5.67,5.73:    Link to HW:  Due Wed Oct 15


Week8 (Oct15-Oct17):  Read Chapter 6 (6.1, 6.6, 6.2,6.3,6.4).  Do exercises  6.1,6.3,6.5,6.7,6.9,6.13,6.17,6.45,6.55,6.59.    Link to HW: Due Wed Oct 22


To start, we will focus on the case of one sample, one mean.  KU custom edition numbering, you have to minus 1


Week9 (Oct20-Oct24):  Read Chapter 8 (KU Custom edition  Chapter 7, I think you have to minus 1 everywhere) (8.1,8.2,8.3,8.4, 8.5,8.6). Do Exercises 8.21,8.23, 8.25,8.33,8.45,8.49.   Link to HW:  Due Wed Oct 29


Week10 (Oct27-31):  Read Chapter 9 (KU Custom edition Chapter 8)  (9.1,9.2,9.3,9.4,9.10)  Do exercises 9.1,  9.3, 9.13,  9.29, 9.31, 9.53, 9.57, 9.59, 9.63  Link to HW: Due Nov 5


Week11 (Nov3-Nov7):  Read Chapter 10 (KU Custom edition Chapter 9) (10.1,10.2,10.3,10.4,10.8) Do exercises 10.3, 10.9, 10.19,10.21,10.23, 10.25, 10.57,10.59  Link to HW: Due Nov 12


We return to cover the case of two sample means.


Week12 (Nov10-Nov14):  (8.4, 9.8, 9.9, 9.11, 10.5,10.9): Do exercises 8.29, 9.35,9.37,9.39,9.43-(optional),9.67,9.69.  Link to HW: Due Nov 19


Week13 (Nov17-Nov21):  Link to HW: Due Dec 3



Week14 (Nov24):


Week15 (Dec1-Dec5):  Read Chapter 10.5, 10.9: Do Exercises:  10.45, 10.65


Week16 (Dec8-Dec10):  Some random review. 

gamma.pdf   (Notes on the Gamma function, to practice integration by parts)


problems.pdf  (Random problems)





R code which illustrates the `90 percent' in a 90 percent CI


Extra HW credit R computing assignment:  Due Nov 21:  R1-samplecode.pdf


Extra HW credit R computing assignment:  Due Dec 5:    (There was a typo. The pdf should be compared to a probability histogram (see page 86 of your text),  not the relative frequency histogram.)