Frederick Community College

 

MA206NET–Statistics

 

 

SPRING  2010

 

Class begins:  1/25/2010

Class ends:  5/13/2010

Last Day to Withdraw: 4/9/2010

 

Instructor Information:

 

 

Name:   Steve Prehoda

Office:  B-110H

E-mail:  sprehoda@ix.netcom.com

Phone Number:  301-846-2578

Contact Hours: M/W 9:30-12:00

Campus Mail Box #:  152

           

Course Information:

 

Credits:  3

On-campus Meetings:  Two proctored tests

On-campus Exams: Two

Prerequisites:  Minimum of C in MA82 or appropriate score on placement exam.

Co requisites: None

 

Course Description:

 

An introductory noncalculus statistics course.  Topics include descriptive analysis and treatment of data, probability, statistical inference, linear regression and correlation

 

 

Core Learning Outcomes:

 

Upon completion of this course students will demonstrate: 

1.         articulate the concepts of elementary statistics.  This will be accomplished through writing and speaking in effective, organized, clear, and grammatically correct English appropriate for mathematics.

2.         interpret and analyze tables, graphs, and diagrams to convey quantitative information and solve elementary statistical problems.

3.         perform mathematical operations and apply them to practical situations.

4.         generate and evaluate alternative solutions to elementary statistical problems.

5.         demonstrate a variety of problem-solving techniques using different mathematical tools and alternative representations of numerical and analytical concepts with application to numerical data.

6.         use the technology of a changing world appropriate to elementary statistics.

7.         display academic honesty and adhere to professional standards in their fields.

 

Specific Learning Outcomes: Students will be able to

1.         Summarize data through the use of graphs, measures of center, measures of variation and measures of position

2.         Use the basics of probability

3.         Use the multiplication principle for independent events

4.         Find the mean and standard deviation of a random variable

5.         Recognize a binomial distribution, and identify n,p,q, x

6.         Determine binomial probabilities

7.         Find the parameters of a binomial distribution

8.         Determine “unusual” values of a random variable in 2 ways

9.         Determine probabilities in a normal distribution

10.       Understand and use the Central Limit Theorem

11.       Estimate population means (confidence intervals, T interval)

12.       Estimate population proportions (confidence intervals)

13.       Determine needed sample sizes for confidence intervals.

14.       Test claims for means (T test)

15.       Test claims about two means or two proportions including matched pairs.

16.       Find the correlation coefficient and the regression equation for paired data.

17.       Use the Chi-square test for independence.

.

 

 Instructional Methods:

 
  1. Blackboard Web site
  2. Blackboard Discussion Group
  3. Instructor Email support
  4. 12 Tutoring CDs
  5. Addison-Wesley tutoring support
  6. Walk-in Tutoring at FCC
  7. Weekly Homework Assignments (First 9 weeks)
  8. One research/writing assignment
  9. Blackboard Practice Tests
  10. Four online tests
  11. Proctored on-campus midterm and final exam

 

 

 How is this course organized:

 

The course is self paced except for deadlines for the proctored midterm and proctored final exam.  Students may finish early if desired.

 

Text(s) and Course Materials:

 

ESSENTIALS OF STATISTICS 3rd ed, Mario Triola, Addison-Wesley, bundled with Digital Video Tutor CDs, and AW Tutoring coupon, ISBN 9780536331618.

Student Solutions Manual (Optional) Milton Loyer, Addison-Wesley,

ISBN 0-201-74801-0

A TI-83/TI-83Plus or TI-84 graphing calculator is strongly recommended. Proctored testing will be significantly easier with a TI calculator

 

Progress Report:

 

By the end of the 6th  week of the semester, you will have an opportunity to evaluate your progress in this course based on the test scores of the first two tests and decide if you need to make any adjustments (additional study, tutoring, conference with instructor) to assure your success in this course.

 

 

 

 

 

Evaluation Methods:

 

Tests / Papers / Projects / Participation

Point Value

Final Grade Scale

4 online tests

2 Proctored Exams

10 Weekly Assignments

1 Research/Writing Assignment

400

200

100

100

 720-800= A

640-719= B

560-639= C

480-559= D

<480 = F

 

If the graded performance for online assignments differs significantly from the grade average for proctored assignments, the instructor reserves the right to administer additional tests.

 

Student Services

 

A variety of services are available to assist students in succeeding at FCC. Students can learn more about these services by visiting the Student Services web page: http://www.frederick.edu/student_services/index.aspx.

Students with disabilities who are in need of accommodations or who have questions related to disabilities services should contact the Services for Students with Disabilities (SSD) office at 301-846-2408. Students can learn more about these services by visiting the Services for Students with Disabilities web page: http://www.frederick.edu/student_services/disability.aspx.

 

 Participation Policy:

 

To maintain the highest quality of academic work, students are expected to participate fully in all course activities.

In case of serious illness, emergency, religious holidays, or participation in official college functions, students remain responsible for completing the requirements of the course. 

 

 Email Policy:

 

Email is an instructional tool essential to student-instructor and student-student communication. In the Blackboard environment by default, your email address is available to all students in this course.

However, students are permitted to use email addresses of other students in this course only for the purpose and the duration of this course.

Students who are concerned about the privacy of their personal email address are reminded of commercially available products that allow them to create unique email addresses specifically for the purpose and duration of this course.

The instructor can be expected to respond to regular student email inquiries (grades, posted assignments, and tests excluded) within the time frame of 24 to 48 hours.

 

Academic Integrity:

 

Work in this course is subject to the provisions of the FCC Code of Academic Integrity. Plagiarism in any form will not be tolerated. As a student, it is your job to practice academic honesty at ALL times.  Make sure that all sources, particularly Internet sources, get proper credit for quotations, paraphrases, and ideas. More information about this and the Student Conduct Code are available at http://www.frederick.edu/student_services/studentpolicies.aspx

You must send your Academic Integrity Pledge to the instructor. The form is available at http://courses.frederick.edu/_utilities/regform.htm

MA 206 NET

Triola 3rd edition

COURSE OUTLINE 

 

Class/Week

Specific Learning Outcomes

Assignment

#1

Week 1

 

Chap 1 Introduction to Statistics

  • Define statistics and related terms
  • Use critical thinking  to evaluate situations

Sec 2.1, 2.2, 2.3 Frequency tables, pictures of data

  • Construct and interpret frequency tables
  • Construct and interpret histograms

Read: Chap 1, Sec 2.1, 2.2, 2.3

1-2: 5-19

1-3: 5-19

1-4: 5-17

2-2: 1, 5-15 odd

Read 3.1, 3.2, 3.3

#2

 

 

Sec 3.1, 3.2 Measures of Central Tendency

  • Define and calculate the mean, mode, median and midrange by hand and calculator
  • Understand the strengths, weaknesses and uses of each

Calculator skills

  • Use lists
  • Use 1-Var Stat
  • Use Stat Plot to draw graphs

Sec 3.3 Measures of Variation

  • Define and calculate, using the calculator, the standard deviation, variance and range
  • Interpret the standard deviation and apply the Empirical Rule

 

3-2: 5-13

3-3: 5-11 odd  

 

#3

Week 2

Sec. 3.4, 3.5  Measures of Position and Boxplots Calculate and interpret Z scores

  • Calculate and interpret percentiles and quartiles
  • Construct and interpret boxplots

Calculator skills

  • Construct Boxplots

 3-4: 5-15 odd

 3-5 #5, #7

 

#4

Practice Test 1

 

Study for test

 

 

#5

Week 3

 

 

 

Test 1:  Chap 1,2 ,3

 

Read:  Sec 4.1 – 4.5

 

 

#6

 

 

 

Sec 4.1 - 4.5 Fundamentals of Probability

  • Define terms and notations
  • Apply Addition rule
  • Apply Multiplication rule
  • Find probabilities using contingency tables

 

4-2: 5-23

4-3: 5-21

4-4: 5-19

4-5: 5-23

Read: Sec 5.1, 5.2, 5.3

 

 

 

#7

Week 4

 

Sec 5.1, 5.2 Random Variables

  • Define random variable and give examples
  • Determine if frequency distribution satisfies requirements for a probability distribution
  • Find mean and standard deviation of probability distribution using calculator
  • Calculate expected value
  • Determine unusual values

 

Sec 5.3 Binomial Experiments

 

 

5-2: 5-15 

5-3: 15-23 odd

Read: 5.4

 

# 8

 

Sec 5.4 Mean, Variance, Standard Deviation for Binomial Distribution

  • Determine if a distribution satisfies the requirements for a binomial distribution
  • Determine the probability in a binomial situation using table or calculator
  • Calculate mean and standard deviation of a binomial distribution
  • Determine if values are unusual

Calculator skills

  • Calculate Binomial probabilities

 

 

5-4: 5-15 odd

 

 

#9

Week 5

 

Practice Test 2

 

Study for test

 

 

# 10

 

Test 2:  Chap 4, 5

Read: Sec 6.1, 6.2

 

 

 

Week 6

 

Midterm Due on or Before March 12

 

 

#11

 

Sec 6.1, 6.2 Standard Normal Distribution

  • Understand the correspondence between area under the normal curve and probability
  • Given a z-score, find probabilities using calculator or table
  • Given a probability, find z-score using calculator or table

Calculator skills

  • Given a z-score, find probability
  • Given a probability, find z-score

 

6-2: 5-37 odd

 

Read: Sec 6.3

 

 

#12

 

Sec 6.3 Applications of Normal Distributions

  • Given a value, mean and standard deviation, find a probability using calculator or table
  • Given a probability, find a value using calculator or table

Calculator skills

  • Given a value, mean and standard deviation, find prob.

6-3: 5-23

 

Read: Sec 6.5

 

      

#13

Week 7

Sec 6.5 Central Limit Theorem

  • Explain the concept of the Central Limit Theorem
  • Find the mean and standard deviation of a distribution of sample means

Apply the Central Limit Theorem to find probabilities and interpret the results

6-5 5-19

Read:  Sec 7.1, 7.2

 

 

# 14

 

Sec 7.1, 7.2 Estimating a Population Proportion

  • Explain a confidence interval
  • Find the degree of confidence, critical value, and calculate the margin of error and confidence interval for a population proportion
  • Interpret the results
  • Determine sample size

Calculator skills

  • Calculate the confidence interval for a population proportion

7-2: 5-37odd exc 31

 

Read: Sec 7.3, 7.4

 

# 15

Week 8

 

Sec  7.3, 7.4 Estimating a Population Mean

  • Find the degree of confidence, critical value, and calculate the margin of error and confidence interval for a population mean using the t-distribution
  • Interpret the results
  • Determine sample size

Calculator skills

  • Calculate the confidence interval for a population mean using T-interval

 

 

7-3 5-19

7-4 13-19

 

#16

 

Practice Test 3

 

Study for test

 

 

# 17

Week 9

 

 

Test 3: Chap 6 and 7

Last Day to Drop April 9, 2010

 

Read: Sec 8.1, 8.2

 

# 18

 

Sec 8.1, 8.2 Fundamentals of Hypothesis Testing

  • Explain the concept of hypothesis testing
  • State the basic components of a hypothesis test
  • Write a claim, null and alternate hypothesis and conclusion

8-2: 5-39 odd

Read Sec 8.3

 

 

# 19

Week 10

 

 

Sec 8.3 Testing a Claim about a Proportion

·         Perform three types of significance tests – traditional method, p-value method and confidence interval for a population proportion using the calculator

·         Write up a formal hypothesis test for a claim about a population proportion

·         Interpret the results

Calculator skills

  • Calculate the test statistic z, p-value, and confidence interval for a claim about a population proportion

 

 

8-3: 5-23 odd

 

# 20

 

Sec 8.4 Testing a Claim about a Mean Sigma Known,

 

8-4 5-15 Read: Sec 8.5

 

# 21

Week 11

 

Sec 8.5 Testing a Claim about a Mean

·         Perform three types of significance tests – traditional method, p-value method and confidence interval for a population mean using the calculator

·         Write up a formal hypothesis test for a claim about a population mean

·         Interpret the results

Calculator skills

  • Calculate the test statistic t, p-value, and confidence interval for a claim about a population mean

 

 

8-5: 9-13  19-27

Read:  Sec 9.1, 9.2

 

 

# 22

 

Sec 9.1, 9.2 Inferences about two proportions

·         Perform three types of significance tests – traditional method, p-value method and confidence interval for  two proportions using the calculator

·         Write up a formal hypothesis test for a claim about a two proportions

·         Interpret the results

Calculator skills

  • Calculate the test statistic z, p-value, and confidence interval for a claim about two proportions

 

9-2: 5-19 odd

 

 

Read: Sec 9.3, 9.4

 

 

 

# 23

Week 12

 

Sec 9.3, 9.4 Inferences about two means, Independent samples and matched pairs

·         Determine whether samples are independent or dependent

·         Perform three types of significance tests – traditional method, p-value method and confidence interval for independent sample means and for dependent sample means/matched pairs using the calculator

·         Write up a formal hypothesis test for a claim about two means

·         Interpret the results

Calculator skills

Calculate the test statistic  t, p-value, and confidence interval for a claim about two means

 

9-3: 5-25 odd

9-4: 5-9 odd

 

Read: Sec 11.2, 11.3

 

 

# 25

Week 13

 

Sec 10.1, 10.2,10.3 Correlation and Regression

  • Identify scatter plots of data which show positive, negative and no linear correlation
  • Describe linear correlation and interpret the linear correlation coefficient
  • Determine if 2 variables are correlated by calculating (and interpreting) the correlation coefficient on the calculator
  • Determine the regression equation using the calculator
  • Predict a value of a variable using the regression equation

Calculator skills

  • Find r, the correlation coefficient
  • Determine the regression equation

 

10-2: 5-17

10-3: 5-19 odd

 

 

 

#26

Sec 11.2,11.3 Goodness of Fit, Contingency Tables: Independence and Homogeneity

  • Test independence of variables using Chi-square values and/or p-value
  • Test homogeneity of two populations using Chi-square and/or p-value
  • Interpret results

Calculator skills

  • Enter contingency table into a matrix

Calculate Chi-square and/or p-value

11-2:  5-15

11-3: 5-13 odd

 

 

# 27

 

Practice Test 4

 

 

# 28

Week 14

 

Test 4: Chap 8, 9, 10, 11

Study for test

 

#29

Week 15

Review

Study for test

 

#30

Proctored Final Exam Due on or before May 13.

Have a great vacation

 

 

 

Note:  This schedule exactly follows the MA206 lecture sections that I teach

 

 

NOTE:  Your instructor reserves the right to make changes to this outline as needed.