Frederick Community College

 

MA 206NET

STATISTICS

Spring 2009

 

Instructor:                  Steve Prehoda

            Office:                        B110H

            Office Hours:             M/W 8:00-9:00 M/W 11:00-12:30           

            Phone Number:         301-846-2578 (Please try email first)

            E-mail:                       sprehoda@ix.netcom.com

            WWW:                       http://69.63.131.53/prehoda/

            Campus mailbox:      #152

 

Last day to drop: April 3, 2009

 

 

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

 

            Credits:                      3

            Prerequisites:           At least a C in MA 82 or appropriate score on placement exam

            Co-requisites:           none

 

Core Learning Outcomes: Students will be able to

1.         Articulate the concepts of elementary statistics. 

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 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:

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

2.                   Understand and solve probability problems, probability distributions, and random variables.

3.                   Understand and use the Central Limit Theorem.

4.                   Make approximations of the normal distribution with a binomial distribution.

5.                   Estimate population means for small and large samples.

6.                   Estimate population proportions, variances, and sample sizes.

7.                   Test claims for means for small and larges samples.

8.                   Test claims for two means or two proportions including matched pairs.

9.                   Compare variation in two samples.

10.               Find the correlation and the regression formula.

Course Texts and Resources: ESSENTIALS OF STATISTICS 3rd ed, Mario Triola, Addison-Wesley, bundled with Digital Video Tutor CDs, MathXL coupon, Blackboard Access coupon and AW Tutoring coupon, ISBN 9780536331618.

Student Solutions Manual (Optional) Milton Loyer, Addison-Wesley, ISBN 0-201-74801-0

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

 

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. Blackboard Practice Tests
  9. Five online tests
  10. Proctored on-campus midterm and final exam

 

Evaluation:

Five online exams 30%

Weekly homework assignments/Discussion Board Participation 10 %

Proctored midterm exam 30%

Proctored final exam 30%

 

BASED ON: 

90 - 100     A 

80 - 89       B 

70 - 79       C 

60 - 69       D 

< 60           F 

Instructor may lower and/or curve cutoff scores to accommodate natural breaks in the end of semester average scores.

Progress Report: You can project your grade from your results at the end of the sixth week, by which the third online test will be taken.

 

Attendance Policy: To complete this course successfully you no NOT have to be online at a particular day or time.  However, the course follows a weekly schedule.  Students are expected to complete all the work assigned for a particular week and to observe all test and exam deadlines throughout the semester.

 

 

 

 

 

 

MA 206

Triola 3rd edition

COURSE OUTLINE 

 

Class

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

p. 9 #1 – 8, 21, 23

p. 18 # 1, 4, 5, 7, 9

p. 26 #5 – 8

p. 48 # 1,9,13

p. 54 # 1, 5-8

Read 3.1, 3.2

#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

 

p. 86 # 1, 2, 5 – 11 odd, 17

 

Read: Sec 3.3

#3

Week 2

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

 p.104  # 1 – 11 odd, 17, 19

Read: Sec 3.4, 3.5

 

#4

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

 

 p.116 # 1 – 17 odd

 p. 128 #  5

 

 

#5

Week 3

 

 

Practice Test 1

 

 

 

Study for test

 

 

#6

 

 

 

Test 1:  Chap 1,2 ,3

Read:  Sec 4.1 – 4.5

 

 

#7

Week 4

 

Sec 4.1 - 4.5 Fundamentals of Probability

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

 

Do:

Read: Sec 5.1, 5.2

# 8

 

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

 

 

 

 

Read: Sec 5.3, 5.4

#9

Week 5

 

Sec 5.3 Binomial Experiments

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

 

 

 

# 10

 

Practice Test 2

 

Study for test

 

 

 

#11

Week 6

 

Test 2:  Chap 4, 5

Read: Sec 6.1, 6.2

 

 

# 12

 

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

 

 

Read: Sec 6.3

 

 

#13

Week 7

 

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 a probability
  • Given a probability, find a value

Read: Sec 6.5

 

      


# 14

 

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

Read:  Sec 7.1, 7.2

 

# 15

Week 8

 

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

 

 

Read: Sec 7.3, 7.4

 

#16

 

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

 

 

 

# 17

Week 9

 

 Confidence intervals revisited

 

 

 

# 18

 

Practice Test 3

 

Study for test

 

 

 

# 19

Week 10

 

Test 3: Chap 6 and 7

Read: Sec 8.1, 8.2

 

Proctored Midterm due by November 3 or earlier

 

 

# 20

 

 

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

 

 

Read Sec 8.3

# 21

Week 11

 

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

 

 

Read: Sec 8.5

# 22

 

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