**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, 9^{th} edition or KU Custom
Edition.

Lecture notes (Last revised 4 December 2014)

In class assignments

**Meeting**

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.

**Grading**

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.

**Attendance**

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

**Homework**

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.)