Dr. Robert A. Johnson, Lecturer

Richard A. Henson School of Science and Technology

Department of Mathematics and Computer Science

Salisbury University,  Salisbury, MD. 21801

 

Office: Henson Science Building, Room  128

Phone  (410) 543-6469

E-Mail: RAJOHNSON@SALISBURY.EDU

 

 

Classes:

 

MATH 155 Modern Statistics with Computer Analysis

 

MATH 160 Applied Calculus

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Class Policy

 

MATH 155 - Modern Statistics with Computer Analysis

 

Sections: 004  TR  2:00 - 3:15PM    HS 115

               009   TR  8:00 - 9:15PM    HS 109

 

Instructor: Dr. Robert A. Johnson

 

Office: Henson Science Hall, Room 128

 

Office Hours: 10:00 - 11:30 - MWF

                        1:00 - 2:00 - TR

                        others by appointment

 

Phone: (410) 543 - 6469

 

Textbook: “A First Course in Statistics” by McClave and Sincich, Eighth Edition

 

Course Description: This is an introductory course in statistics emphasizing inference, with coverage of data collection and analysis needed to evaluate the results of statistical studies and make good decisions. It covers basic statistical and probability topics through simple linear regression and assumes a mathematical background of high school algebra. The software MINITAB will be used for lab assignments throughout this course.

 

Course Evaluation: The components of the evaluation are listed below. The total number of points that can be accumulated in this course is 400 (excluding extra credit). Therefore the final grading scale is based on 400 points. See Final Grade Intervals.

 

A.     Homework and Quizzes (15%) - Problems will be assigned on a regular basis and selected ones will be graded. All homework assignments should be completed and maintained in a loose leaf notebook. There will be weekly, usually unannounced, quizzes. Quizzes can not be made up. The total number of points to be acquired from homework and quizzes is 60.

B.     Exams (50%) - There will be three examinations for a total of 200 points.

C.     Lab Assignments (10%) - Problems involving the use of Minitab will be assigned throughout the semester. These assignments must be completed without assistance from classmates or other individuals. If you have questions, direct them to me in my office or in class. Total number of points - 40

D.     Final Exam (25%) - a comprehensive final examination will be given. Also, a critique of a formal research article is required at the end of the semester and it will count as 20% of your final exam. The total number of points to be acquired from these exercises is 100. There will be a common final exam for all MATH 155 classes on Wednesday, May 19th at 3:15 pm. All students must take the exam at this time

E.      Extra Credit: Challenging problems will be assigned throughout the semester for bonus points.

 

 

 

 

Final Grade Intervals

 

360 - 400 - A

320 - 359 - B

280 - 319 - C

240 - 279 - D

below 240 - F

Attendance Policy - Attendance is required. The final course average may be lowered by more than three unexcused absences.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Weekly Schedule of Topics and Homework

MATH 155 - Modern Statistics with Computer Analysis

Sections 004 and 009

 

                                                                                                Homework

Week              Topics                                                 Pages              Exercises

1                      Chapter 1 - Statistics, Data,

and Statistical Thinking

1.1 The Science of Statistics                

                        1.2 Types of Statistical Application                              

                        1.3 Fundamental Elements of

                              Statistics

                        1.4 Types of Data

                        1.5 Collecting Data

1.6 The Role of Statistics in Critical       14-18               1.14, 1.16, 1.18, 1.20,

      Thinking                                                                 1.26

                        Chapter 2 - Methods for Describing

Sets of Data

                        2.1 Describing Qualitative Data 25-29               2.4, 2.6, 2.8, 2.10,

                                                                                                            2.12

 

2                      2.2 Graphical Methods for                    37-41               2.22, 2.24, 2.26, 2.28,

                               Describing Qualitative Data                                    2.30

                        2.3 Summation Notation                      

                        2.4 Numerical Measures of Central       50-54               2.44, 2.48,

                              Tendency                                                               2.50, 2.52

 

 

3                      2.5 Numerical Measures of                   59-60               2.56, 2.58, 2.62, 2.64

                              Variability  

                        2.6 Interpreting the Standard                 66-70               2.70, 2.74,

                              Deviation                                                                2.76, 2.78, 2.80

 

 

4                      2.7 Numerical Measures of Relative      73-74               2.82, 2.84, 2.88, 2.90,

                              Standing                                                                 2.92

                        2.8 Methods for Detecting                    83-86               2.100, 2.104, 2.106

                              Outliers                                                                 

                        Chapter 3 - Probability

                        3.1 Events, Sample Spaces, and           117-120           3.4, 3.6, 3.10, 3.16,

                              Probability                                                              3.18, 3.22

 

 

 

5                      3.2 Union and Intersection                    128-131           3.28, 3.32, 3.34, 3.36,

                        3.3 Complementary Events                                           3.38

                        3.4 The Additive Rule and

                              Mutually Exclusive Events

                        3.5 Conditional Probability                    135-138           3.42, 3.46, 3.50, 3.52,

                                                                                                            3.54, 3.56

 

 

6                      3.6 The Multiplication Rule and 146-149           3.60, 3.68, 3.70, 3.72,

                              Independent Events                                                3.74

                        Exam 1 Review                                   

                        EXAM 1 - CHAPTERS 1-3

 

 

7                      Chapter 4 - Random Variables and

Probability Distributions

4.1 Two Types of Random                   173-176           4.10, 4.14, 4.18, 4.20,

                              Variables                                                                4.22, 4.24

                        4.2 Probability Distribution for

                              Discrete Random Variables

                        4.3 The Binomial Distribution    187-189           4.30, 4.34, 4.38, 4.40,

                                                                                                            4.44

 

8                      4.4 Probability Distribution       

                              for Continuous Random

                              Variables

                        4.5 The Normal Distribution                  201-203           4.54, 4.56, 4.60, 4.62,

                                                                                                            4.66

                        4.8 Sampling Distribution                      221-222           4.96, 4.98, 4.100

 

 

 

9                      4.9 The Central Limit Theorem 228-230           4.106, 4.110, 4.112,

                                                                                                            4.114, 4.116

                        4.6 Approximating a Binomial

                              Distribution with a Normal

                              Distribution

                        Exam 2 Review

                        EXAM 2 - CHAPTER 4

 

 

 

 

 

 

10                    Chapter 5 - Inferences Based on a

Single Sample: Estimation with

Confidence Intervals

5.1 Large-Sample Confidence 244-247           5.2, 5.6, 5.10, 5.12,

                              Interval for a Population                                          5.14, 5.16

                              Mean

                        5.2 Small-Sample Confidence   255-258           5.28, 5.30, 5.32

                              Interval for a Population

                              Mean

                        5.4 Determining the Sample Size           270-271           5.56, 5.60, 5.64

 

 

11                    Chapter 6 - Inferences Based on a

Single Sample: Test of Hypothesis

6.1 The Elements of a Test                    282-283           6.8, 6.10, 6.14, 6.16

                              Hypothesis

                        6.2 Large-Sample Test of                     288-290           6.18, 6.22, 6.26

                              Hypothesis about a Population

                              Mean

                        6.3 Observed Significance Level:          295-296           6.38, 6.40, 6.42

                               P-Values

 

 

12                    6.4 Small-Sample Test of                      301-303           6.52, 6.54, 6.56

                              Hypothesis about a Population

                              Mean

                        6.6 A Nonparametric Test about           313-314           6.80, 6.82, 6.84

                              Population Mean

                        Chapter 7 - Comparing Population

Means

                        7.1 Comparing Two Population            333-338           7.2, 7.4, 7.8, 7.10,

                              Means; Independent Sampling                               

 

 

13                    7.2 Comparing Two Population            346-351           7.28, 7.30, 7.34, 7.38*

                              Means: Paired Difference

                              Experiments

7.3 Determining The Sample Size          355                  7.42, 7.44, 7.48

                       

14                    7.4 A Nonparametric Test For 368-371           7.64, 7.66, 7.68, 7.70

                              Comparing Two Populations:

                              Paired Difference Experiments

                        Exam 3 Review

                        EXAM 3 - CHAPTERS 5-7

 

 

 

 

 

 

 

Critique of a Research Article Assignment

 

Analyze a research article from a professional journal using either a sign test, Wilcoxon Signed Rank test, t-test (paired or independent samples), or Mann-Whitney U Test. The article must be approved by the instructor. Your final report should be in narrative form addressing the following questions:

 

1. What is the researcher attempting to do?

 

2. Who (or what) is the target population?

 

3. How was the sample selected?

 

4. What is the measurement scale of the data? Explain (Also indicate what variable(s) is/are being measured).

 

5. Is this an example of a designed experiment, observational study, or neither one? Explain.

 

6. What statistical analysis was used? (It must be one that we discussed in class.)

 

7. Is this test (analysis) appropriate? Is it the most powerful or best test to use in this case? Explain.

 

8. If this analysis is not appropriate, what test would have been more appropriate? Why?

 

9. What is the p-value (observed significance level) of the test and what does this imply?