Introduction to Statistical Methods
STAT 1772
Fall 2016
Instructor:Dr. Shangzhen Luo
Office: 332 Wright Hall
Phone:319-273-6435
E-mail Address:
Website:
Office Hours:M 11:00-12:00, W10:00-12:00
Textbook:Introduction to Probability and Statistics,
William Mendenhall, Robert J. Beaver, Barbara M. Beaver, 14th Edition.
Calculator: TI84 or any scientific calculator with basic statistic functions
Course Objective:
1.Provide necessary statistical concepts, skills and interpretations at a pre-calculus level.
2. Enable students to analyze different types of data and reason statistically.
3. Train statistical common sense and logical thinking.
Course Grade:
2in-class exams @ 100 points each200
8-10quizzes (in-classor take home)100
Final Exam (comprehensive)150
Attendance50
______
Total points:500
Make-up policy:
Make-up exams or quizzes will only be given for officially documented reasons beyond the control of the student, such as illness, accident, athlete travel or conflict with other exams. In such cases, the instructor must be notified timely.
Class Attendance:
You are expected to attend all scheduled class sessions. It is your responsibility to know all the work and announcements in class. 5 points will be deducted for each unexcused absence.
Letter Grades:
A / 93% / A- / 89%B+ / 86% / B / 83% / B- / 79%
C+ / 77% / C / 70% / C- / 65%
D+ / 63% / D / 60% / D- / 58%
F / 58%
Supplemental instruction:
1. Please feel free to come and discuss your difficulties with me during the office hours.
2. You are encouraged to answer or raise questions in class.
3. Peer discussion after class is highly recommended.
Students with Disabilities:
If you have a disability and need accommodations (for example, extended testing time, note takers, large print materials), if instructor must know any emergency medical information about you, or if you need special arrangements in case the building must be evacuated, please inform your instructor privately after class or at his/her office as soon as possible. To request academic accommodations students must also contact with the Disability Services (319-273-2676).
Course Content and Schedule (Tentative):
Chapters / Sections / Suggested Homework / ExamsIntroduction
Chapter 1
Describing Data with Graphs / 1.1.Variables & Data
1.2.Types of Variables
1.3.Graphs for Categorical Data
1.4.Graphs for Quantitative Data
1.5.Relative Frequency Histograms / 2, 3, 5, 10,
19, 20, 23 / Exam I
(Oct 6, Thu)
Chapter 2
Describing Data with Numerical Measures / 2.1. Numerical Measures
2.2. Measures of Center
2.3. Measures of Variability
2.4. Significance of Standard Deviation
2.5. Check on Calculation of s
2.6. Measures of relative Standing z-score
2.7. Five Number Summary and Box Plot / 3, 11,
15, 17,
21, 22,
42, 43, 44
Chapter 3
Describing Bivariate Data / 3.1. Bivariate Data
3.2. Graphs for Qualitative Variables
3.3. Scatterplots
3.4. Numerical Measures / 4,
13, 35
Chapter 4
Probability and Probability Distributions / 4.1. The Role of Probability in Statistics
4.2. Events and Sample Space
4.3. Calculating Probabilities Using Simple Events
4.4. Useful Counting Rules
4.5. Event Relations and Probability Rules
4.6. Independence, Conditional Probability…
4.8. Discrete Probability Distributions / 2, 4, 5,
19, 20, 26, 27, 34, 36,
49, 50, 51, 52, 54, 63, 66, 85, 89
Chapter 5
Discrete Distributions / 5.1. Introduction
5.2. Binomial Distribution
5.3. Poisson Distribution (optional)
5.4. Hypergeometric Distribution (optional) / 3, 4, 6, 16, 23, 27 / Exam II
(Nov 17, Thu)
Chapter 6
Normal Distribution / 6.1. Probability Distributions – Continuous R.V.’s
6.2. Normal Distribution
6.3. Tabulated Areas of Normal Distribution / 5, 7, 8, 9, 13, 16, 22, 26
Chapter 7
Sampling Distribution / 7.1. Introduction
7.2. Sampling Plans and Experimental Designs
7.3. Statistics and Sampling Distributions
7.4. The Central Limit Theorem
7.5. Sampling Distribution of Sample Mean
7.6. Sampling Distribution of Sample Proportion / 19, 20, 25, 26, 33,
37, 42, 45, 46
Chapter 8
Large-Sample Estimation / 8.1. Where We’ve been
8.2. Statistical Inference
8.3. Types of Estimators
8.4. Point Estimation
8.5. Interval Estimation
8.6. Difference Between Two Population Means
8.7. Difference Between Two Binomial Proportions
8.8. One-Sided Confidence Bounds (optional)
8.9. Choosing Sample Size (optional) / 5, 9, 11, 14, 16,
24, 25, 26, 30, 33,
40, 48,
50, 62, 66, 67,
Chapter 9
Large-Sample Tests of Hypotheses / 9.1. Testing Hypothesis about Parameters
9.2. A Statistical Test of Hypothesis
9.3. Hypothesis Test-Population Mean
9.4. Hypothesis Test-Difference of Two Means
9.5. Hypothesis Test-Binomial Proportion
9.6. Hypothesis Test-Difference of Two Proportions (optional)
9.7. Comments on Hypothesis Test / 11, 13
28a, 29
34, 35
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