Description:

This is a beginning course in statistical analysis, the skill of making sense of raw data - constructing graphical representations of data, developing models for making predictions, performing tests to determine significant change and finding intervals for population values. Students will learn the basics of descriptive statistics, probability, sampling, confidence intervals, distributions, hypothesis testing, regression and correlation. Computer applications will be incorporated into course topics. 3 hrs./wk.

Associated Costs: These are additional (out-of-pocket) expense considerations that students should expect in addition to the course tuition, fees, and textbooks. $0 to $100.

Supplies: Refer to the instructor’s course syllabus for details about any supplies that may be required.

Textbook(s): For information see - http://bookstore.jccc.net

Course Fees: NONE

Course Objectives:

Upon successful completion of this course the student should be able to:

1. Critically read and analyze a basic statistical study.
2. Perform one-tailed and two-tailed hypothesis tests.
3. Perform a linear regression analysis.
4. Solve basic counting and probability problems.
5. Construct a confidence interval and explain its meaning.
6. Compute measures of central tendency and dispersion; explain the meaning of central tendency and dispersion as related to a problem.
7. Use a statistical package on a graphics calculator or a computer to carry out statistical procedures.

Content Outline & Competencies:

I. Basic Descriptive Statistics: Organizing and describing data
   A. For a given set of data, draw a dotplot, histogram, stem-and-leaf
diagram, and a boxplot.
   B. Describe the general shape of data, skewed left, skewed right,
normal or other symmetric.
   C. Calculate the measures of central tendency including mean, median,
and mode.
   D. Calculate the measures of dispersion including range, standard
deviation, and interquartile range; explain the meaning of dispersion as
it relates to a problem.
   E. Use a statistical package on a graphics calculator or a computer to
enter data and analyze results.

II. Introduction to Probability: Finding the theoretical probability of an
event
   A. Use probability notation including the “or” condition and the “and”
condition.
   B. Determine whether or not two events are mutually exclusive.
   C. Determine whether or not two events are independent.
   D. Calculate conditional probabilities; explain the meaning of
conditional probabilities; use conditional notation.

III. Random Variables: Determining probabilities of a random variable
   A. Determine the expected value and the standard deviation of a
discrete random variable.
   B. Determine probabilities for a discrete random variable.

IV. Special Probability Functions: Using functions to solve probabilities
of events
   A. Use the Binomial formula to solve probability problems with two
outcomes and independent events.
   B. Use the Normal distribution to solve percent problems for normally
distributed populations.
   C. Use the Normal distribution to solve probability problems for
normally distributed random variables.

V. Random Sampling and Sampling Theory: Generating distributions for
sample means
   A. Calculate the mean for a distribution of sample means.
   B. Calculate the standard deviation for a distribution of sample
means.
   C. Perform a normal probability plot; describe the shape of the
population distribution based on the plot.
   D. Analyze the Central Limit Theorem.

VI. Estimating the Mean: Using statistics to determine averages of a
population
   A. Construct confidence interval for a population mean with known
population standard deviation; explain the meaning in terms of the
problem.
   B. Construct a confidence interval for a population mean with unknown
population standard deviation; explain the meaning in terms of the
problem.
   C. Construct a confidence interval for a population proportion; explain
the meaning in terms of the problem.

VII. Hypothesis Tests: Finding significance
   A. Perform a hypothesis test for a sample mean with known population
standard deviation.
   B. Perform a hypothesis test for a sample mean with unknown population
standard deviation.
   C. Perform a hypothesis test for a sample proportion.
   D. Perform a hypothesis test with more than two categories for
procedures using the Chi-square distribution.  optional)
   E. Explain Type I and Type II errors with respect to a problem.
(optional)
   F. Calculate the P-value of a hypothesis test; explain the meaning in
terms of the problem. 

VIII. Linear Regression: Making predictions with linear data
   A. Calculate a linear regression equation; explain the meaning in terms
of the problem.
   B. Use a linear regression equation to make predictions about data.
   C. Calculate the coefficient of determination for a linear regression
equation; use the coefficient of determination to explain the strength of
the regression equation.

Methods of Evaluation of Competencies:

Evaluation of student mastery of course competencies will be accomplished using the following methods:

Unit Exams, Unit Papers and/or Unit Projects  40% - 80%
Homework, Quizzes and/or Small Projects        0% - 50%
Final Exam**                                  10% - 40%

**The final exam must count at least as much as any unit exam, unit paper
or unit project. In any course where unit exams are not proctored, the
instructor may require that the student score at least a 70% on the final
exam to earn a ‘C’ for the course. At the instructor's discretion, the
grade on all or any part of the final exam may replace any lower test
score.

Caveats:

1. The majority of mathematics courses are sequential. Students must earn a grade of C or higher in a prerequisite mathematics course to progress to its subsequent mathematics course.
2. In accordance with the assertion made on your billing statement, during the first two weeks of the semester, if a student is found not to have successfully fulfilled the prerequisite(s) for this course, the student will be dropped from the course. He/she will be allowed to enroll in the appropriate lower level math course on a space available basis with an even exchange of tuition. After the first two weeks, students who have not met the prerequisite(s) will be dropped from the course with no refund of tuition.

Disabilities:

If you are a student with a disability, and if you will be requesting accommodations, it is your responsibility to contact Access Services. Access Services will recommend any appropriate accommodations to your professor and his/her director. The professor and director will identify for you which accommodations will be arranged.

JCCC provides a range of services to allow persons with disabilities to participate in educational programs and activities. If you desire support services, contact the office of Access Services for Students With Disabilities (913) 469-8500, ext. 3521 or TDD (913) 469-3885. The Access Services office is located in the Success Center on the second floor of the Student Center.