Department of Mathematics, Computer Science, Internet & Multimedia
Technology
SYLLABUS for Math 153
COURSE PRE-REQUISITES:
Algebra I and II and a satisfactory score on the MATH placement test
or satisfactory completion of (MATH 083 or MATH 101 or LVM 3); or consent
of the instructor.
COURSE DESCRIPTION:
Develops an understanding of statistical methodology and use of critical
judgment in analyzing data sets; covers descriptive statistics, introduction
to probability, normal and binomial distributions, hypothesis testing,
confidence intervals, regression and correlation, chi-square distribution,
and introduction to ANOVA.
REQUIREMENTS:
| Course Assessment | Equivalency in Percent |
| 3 Tests at a total of 275 points | 55 % |
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ATTENDANCE POLICY FOR THIS COURSE: Students are expected to attend ALL scheduled classes from the beginning through the end. Without excellent attendance it will be extremely unlikely to successfully complete the course. Any material missed is your own responsibility. Make-up tests will be provided for serious matters only (serious illness, religious holidays, or participation in official college functions). I may ask for documentation from an employer or physician, including a phone number for verification. If you must miss a test, you must notify me before the scheduled test, and any make-up test must be taken within 5 working days after the original test date to assure student progress in the course. If these conditions are not met, your score on the test will be zero.
EQUIPMENT: TI-83 or TI-83+ graphing calculator will be extensively used in the course and is therefore highly recommended.
TEXT: Elementary Statistics by Triola, Edition 8, Addison Wesley publisher
SPECIAL SERVICES: Students, don't wait till the last minute to ask for help, if your grades show that you need help. There is some student and faculty tutoring available. Interested in online tutoring? Directly link to ELMO or follow the instructions from the handouts.
COMMENTS: Pagers and cell phones must be turned off during class! (Not just set to vibrating mode)
NETWORKING:
Name of contact:
Phone:
e-mail:
____________________________________________________________________________
____________________________________________________________________________
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CALENDAR:
| Friday Feb. 21 | 50% Refund Period Ends |
| Monday April 7 | Last day to withdraw with W grade or Audit on transcript |
| Mon-Tues April 14-21 | CCBC Essex closed for Spring Break |
| April 22 | Classes Resume |
| Friday May 16 | Last Day of Classes |
TENTATIVE LIST OF DATED ASSIGNMENTS FOR SECTION HV:
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| Feb 5 through Feb 26 | 1.1 - 1.3 and 2.2 - 2.6
9.2 and 9.3 supplied by instructor's materials |
Internet Project due on 02/09
Linear Correlation and Regression Project due on 02/26 |
| March 5 | Review and Probability 3.2 - 3.4 | Exam 1 |
| March 12 through April 2 | Binomial Distribution 4.2 - 4.4
Normal Distribution 5.1 - 5.6 |
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| April 2nd | Review and 6.2 | Exam 2 |
| April 9 | Finish 6.3 - 6.5 by Spring Break | |
| April 23rd | 7.2 - 7.4 | |
| April 30 | 7.5 plus Review | Exam 3 |
| May 7 | 8.2 - 8.6 | GCA Project due on 05/07 |
| May 14 | 10.3, 11.2 and Review for Final | |
| May 21, 7:00-9:00pm | Comprehensive | Final Exam, section HV |
COURSE OBJECTIVES:
Upon successful completion of this course students will be able to:
1. Demonstrate the relationship of statistics to the modern world.
(I,IV,V,1,2,3,6,7)
2. Apply technology to statistical problems.(IV,4)
3. Assess statistical reasoning in everyday life.(I,1,3,6,7)
4. Describe data with appropriate measures of central tendency and
variability.(I, IV,V,1,3,4,6,7)
5. Evaluate statistical graphs.(I,IV,V,1,3,4,6,7)
6. Analyze linear regression and correlation problems (I,IV,V,1,3,4,5,6,7)
7. Examine statistical concepts as they apply to diverse populations.
(III, V)
8. Compute binomial probabilities (I,IV,1,4,6,7)
9. Compute normal distribution probabilities (I,IV,1,4,6,7)
10. Apply the fundamentals of probability and the addition and multiplication
rules to introductory problems.(I,IV,1,3,4,6,7)
11. Evaluate confidence intervals in order to make informed decisions
about data.(I,IV,V,1,3,4,5,6,7)
12. Determine the validity of conclusions about a population by performing
hypothesis tests.(I,IV,V,1,3,4,5,6,7)
13. Use of the chi-square distribution to perform independence and/or
goodness-of-fit tests using data obtained in everyday life.(I,IV,V,1,3,4,6,7)
14. Use a one-way ANOVA to solve "real-world" problems.(I,IV,V,1,3,4,6,7)
15. Construct a solution to real world problems using problem
methods individually and in groups. (II, III, V, VI, 2, 3, 7)
16. Examine the mathematical contributions made by people from
diverse cultures throughout history. (V, 5)
17. Articulate a solution to mathematical problems. (II, 2)
MAJOR TOPICS:
I. Introduction
A. Introductory definitions
B. Use of statistics in everyday life
II. Descriptive Statistics
A. Graphs
B. Measures of Central Tendency
C. Measures of Variability
III. Probability
A. Fundamentals and basic concepts
B. Addition rule
C. Multiplication rule
IV. Binomial Distribution
A. Use and interpret binomial probabilities
B. Mean and standard deviation of a binomial random variable
V. Normal Distribution
A. Characteristics of the normal distribution
B. Use and interpret normal probabilities
C. The Central Limit Theorem
VI. Estimates and Confidence Intervals
A. Introduction to the t-distribution
B. Confidence Interval for a population mean, large and small sample
sizes
C. Confidence Interval for a population proportion
VII. Hypothesis testing
A. Characteristics of a hypothesis test
B. Hypothesis test of a population mean, large and small sample sizes
C. Hypothesis test of a population proportion
D. Hypothesis testing for two populations
VIII. Regression and correlation
A. Scatter plot
B. Use and interpret the correlation coefficient
C. Use and interpret the linear regression line
IX. Chi-Square Distribution
Independence tests and/or goodness-of-fit test
X. Analysis of Variance (ANOVA)
One-way ANOVA
RATIONALE:
Statistics is used in a great number of areas such as business, psychology,
nursing and medicine, biology, and the social sciences. This course
will provide the basics of descriptive and inferential statistics so that
students will be more able to read and interpret research articles in the
student's field. In addition, the student should be better able to
understand statistics as it is used in everyday life and in newspaper and
magazine articles.