MATH 3370 Intro Stat Infer
Term: 2020 Fall (Aug-18 to Dec-8)
Course: MAT 3370 Intro to Theory of Statistical Inference
Section: 02
Time: 9:10am -- 10:05am M(1/2 F2F)--W(1/2 F2F)--F(All online)
Classroom: Lucas Building -- Room 119
Office: 200F Lucas Building
Ext. 8540
Virtual Office Hours: 11am--12noon MTWR
or by appointment
email: jose.vegaguzman@lamar.edu
Syllabus: Available in Blackboard !
-------------------------------Announcements ------------------------------------------------
==> WELCOME!
This page is constantly under construction!
Most class documents will be available in Blackboard under Course Material !!!!!!!
------------------------------------- Materials -------------------------------------
Course Textbook:
Probability & Statistics for Engineering and the Sciences (8ed)
Additional Material:
1. Introductory Statistics (openstax) by Barbara Illowsky, Susan Dean, et al.
2. OpenIntro Statistics by David M. Diez, Christopher D. Barr, Mine Çetinkaya-Rundel
3. Introduction to Statistics by David M. Lane et al.
------------------------------------------------- Tentative Schedule -------------------------------------------------------------------
Each student needs to read in advance the material to be covered in class!
August 2020
September 2020
October 2020
November 2020
December 2020
Final Exam Date: December-4-2020 8:00am--10:30am
--------------------------------------- Homeworks --------------------------------------
All Suggested Exercises
Read in advance all material to be covered in class.
------------------------------------------ Assessment------------------------------------------
> Exams
Exam-1 [100 points = 20% of final grade] includes Ch-1 & Ch-2
Exam-2 [100 points = 20% of final grade] includes Ch-3 & Ch-4
Exam-3 [100 points = 20% of final grade] includes Ch-5 & Ch-6 & Ch-7
Final Exam (optional: see syllabus in Blackboard for details)
> Quizzes
Q1-Q9 [10 points each = 2% each ==> 18% of final grade]
Q10 [20 points ==> 4% of final grade]
See dates and material included above !
> Discussion in Blackboard [40 points ==> 8% of final grade]
> Final Project [50 points ==> 10% of final grade]
- Hypothesis Testing & p-value (Chapter-8 and beyond!)
> Total points = 500 ==> 5 points = 1%
--------------------------------- Suggested Exercises --------------------------------
1.1 Populations, Samples, and Processes [p. 12] 1,3,4
1.3 Measures of Location [p. 34] 33,38,41,42
1.4 Measures of Variability [p. 44] 44,45,47
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2.1 Sample Spaces and Events [p. 54] 1,3,4,5
2.2 Axioms, Interpretations, and Properties of Probability [p. 62] 11,14,16,18,21
2.3 Counting Techniques [p. 71] 29,31,33,37,39
2.4 Conditional Probability [p. 80] 45,47,49,51
2.5 Independence [p. 86] 70,71,77,78,80
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3.1 Random Variables (R.V.) [p. 95] 1,4,6,7a,c,e,g
3.2 Probability Distributions for Discrete R.V. [p 104] 11,13,14,17,18,19
3.3 Expected Values [p. 113] 29,30,34,38,39
3.4 The Binomial Probability Distribution [p. 120] 47a,c,e,g,48,49,53,55,57
3.5 Hypergeometric and Negative Binomial Distributions [p. 127] 68,69,71,72
3.6 The Poisson Probability Distribution [p. 132] 79,81,83,85
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4.1 Probability Density Functions [p. 142] 1,3,5,7
4.2 Cumulative Distribution Functions and Expected Values [p. 150] 11,13,14
4.3 The Normal Distribution [p. 162] 28a,c,e,g,i,29,35,37,39,43
4.4 The Exponential and Gamma Distributions [p. 170] 59,61,67 (Optional)
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5.1 Jointly Distributed R.V. [p. 203] 1,5,9
5.2 Expected Values, Covariance, and Correlation [p. 211] 22,25
5.3 Statistics and Their Distributions [p. 222] 37,39,41
5.4 The Distribution of the Sample Mean [p. 229] 46,47,49,53
5.5 The Distribution of a Linear Combination [p. 233] 58,59,60,65
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6.1 Some General Concepts of Point Estimation [p. 252] 1,2,3
6.2 Methods of Point Estimation [p. 264] 20,23,25
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7.1 Basic Properties of Confidence Intervals (C.I.) [p. 275] 1a,c,3,5
7.2 Large-Sample C.I. for a Population Mean and Proportion [p. 283] 13,15a,c,17,21,23
7.3 Intervals Based on a Normal Population Distribution [p. 292] 28a,c,29a,c,e,33,37
7.4 C.I. for the Variance and Standard Deviation of a Normal Population [p. 296] 42a,c,e,43a,c,45,47 (Optional)
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8.1 Hypotheses and Test Procedures [p. 308] 1a,c,e,2a,c,e,g,3,5,7,9a,c,e,11a,c,e
8.2 z-Tests About a Population Mean [p. 320] 15,17,19,20
8.3 The One-Sample t-Test [p. 327] 29a,c,31a,c,37
8.4 Tests Concerning a Population Proportion [p. 337] 42a,c,43,45
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9.1 z-Test and C.I. for a Difference between Two Means [p. 371] 1,8
9.2 The Two-Sample t-Test and C.I. [p. 379] 17a,c,19,23,29
--------------------------------- Codes in R --------------------------------
https://rextester.com/CLUND59053 (Example)